From 019b024d6bdea5041019e1ff121b78fd06231754 Mon Sep 17 00:00:00 2001 From: Diane Guignard Date: Tue, 22 Jun 2021 10:28:32 -0400 Subject: [PATCH] Update references of documentation --- doc/doxygen/references.bib | 1479 +++++++++--------- doc/news/changes/minor/20210622DianeGuignard | 7 + 2 files changed, 732 insertions(+), 754 deletions(-) create mode 100644 doc/news/changes/minor/20210622DianeGuignard diff --git a/doc/doxygen/references.bib b/doc/doxygen/references.bib index 30c44359bd..2696b6e2e2 100644 --- a/doc/doxygen/references.bib +++ b/doc/doxygen/references.bib @@ -3,13 +3,14 @@ %------------------------------------------------------------------------------- @article{Mu05, - author = {Mo Mu}, + author = {M. Mu}, title = {{PDE.M}art: A Network-based Problem-solving Environment for {PDE}s}, - journal = {ACM Trans. Math. Software.}, + journal = {ACM Transactions on Mathematical Software}, year = 2005, volume = 31, number = 4, - pages = {508--531} + pages = {508--531}, + url = {https://doi.org/10.1145/1114268.1114272} } %------------------------------------------------------------------------------- @@ -17,13 +18,14 @@ %------------------------------------------------------------------------------- @article{Kel74, - author = {R. Bruce Kellogg}, + author = {R.B. Kellogg}, title = {On the {P}oisson equation with intersecting interfaces}, journal = {Applicable Analysis}, year = 1974, volume = 4, number = 2, - pages = {101--129} + pages = {101--129}, + url = {https://doi.org/10.1080/00036817408839086} } %------------------------------------------------------------------------------- @@ -31,16 +33,14 @@ %------------------------------------------------------------------------------- @article{Li2019, - doi = {10.1007/s10915-019-01102-1}, - url = {https://doi.org/10.1007/s10915-019-01102-1}, - year = {2019}, - month = dec, - publisher = {Springer Science and Business Media {LLC}}, - volume = {82}, - number = {1}, - author = {Hao Li and Xiangxiong Zhang}, - title = {Superconvergence of $C^0-Q^k$ Finite Element Method for Elliptic Equations with Approximated Coefficients}, - journal = {Journal of Scientific Computing} + author = {H. Li and X. Zhang}, + title = {Superconvergence of {C}$^0$-{Q}$^k$ Finite Element Method for Elliptic Equations with Approximated Coefficients}, + journal = {Journal of Scientific Computing}, + year = {2020}, + volume = {82}, + number = {1}, + doi = {10.1007/s10915-019-01102-1}, + url = {https://doi.org/10.1007/s10915-019-01102-1} } %------------------------------------------------------------------------------- @@ -48,15 +48,14 @@ %------------------------------------------------------------------------------- @incollection{Cangiani2012, - doi = {10.1007/978-3-642-33134-3_34}, - url = {https://doi.org/10.1007/978-3-642-33134-3_34}, - year = {2012}, - month = nov, + author = {A. Cangiani and J. Chapman and E.H. Georgoulis and M. Jensen}, + title = {Implementation of the Continuous-Discontinuous {G}alerkin Finite Element Method}, + booktitle = {Numerical Mathematics and Advanced Applications 2011}, publisher = {Springer Berlin Heidelberg}, - pages = {315--322}, - author = {A. Cangiani and J. Chapman and E. H. Georgoulis and M. Jensen}, - title = {Implementation of the Continuous-Discontinuous Galerkin Finite Element Method}, - booktitle = {Numerical Mathematics and Advanced Applications 2011} + year = {2012}, + pages = {315--322}, + doi = {10.1007/978-3-642-33134-3_34}, + url = {https://doi.org/10.1007/978-3-642-33134-3_34} } %------------------------------------------------------------------------------- @@ -64,32 +63,26 @@ %------------------------------------------------------------------------------- @inproceedings{Ban00w, - author = {Wolfgang Bangerth}, - title = {Mesh Adaptivity and Error Control for a Finite Element - Approximation of the Elastic Wave Equation}, - booktitle = {Proceedings of the Fifth International Conference on Mathematical - and Numerical Aspects of Wave Propagation (Waves2000), Santiago - de Compostela, Spain, 2000}, - year = 2000, - editor = {Alfredo Berm\'udez and Dolores G\'omez and Christophe Hazard and - Patrick Joly and Jean E. Roberts}, - publisher = {SIAM}, - pages = {725--729} + author = {W. Bangerth}, + title = {Mesh Adaptivity and Error Control for a Finite Element Approximation of the Elastic Wave Equation}, + booktitle = {Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves2000), Santiago de Compostela, Spain, 2000}, + editor = {Alfredo Berm\'udez and Dolores G\'omez and Christophe Hazard and Patrick Joly and Jean E. Roberts}, + publisher = SIAM, + year = 2000, + pages = {725--729} } @phdthesis{Ban02, - author = {Wolfgang Bangerth}, - title = {Adaptive Finite Element Methods for the Identification - of Distributed Parameters in Partial Differential Equations}, + author = {W. Bangerth}, + title = {Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations}, school = {University of Heidelberg}, year = 2002 } @article{BR99b, - author = {Wolfgang Bangerth and Rolf Rannacher}, - title = {Finite element approximation of the acoustic wave equation: {E}rror - control and mesh adaptation}, - journal = {East--West J. Numer. Math.}, + author = {W. Bangerth and R. Rannacher}, + title = {Finite element approximation of the acoustic wave equation: Error control and mesh adaptation}, + journal = {East--West Journal of Numerical Mathematics}, year = 1999, volume = 7, number = 4, @@ -97,154 +90,153 @@ } @book{BR03, - author = {Wolfgang Bangerth and Rolf Rannacher}, - title = {Adaptive Finite Element Methods for Differential Equations}, - publisher = {Birkh{\"a}user Verlag}, - year = 2003 + author = {W. Bangerth and R. Rannacher}, + title = {Adaptive Finite Element Methods for Differential Equations}, + publisher = {Birkh{\"a}user Verlag}, + year = 2003, + url = {https://doi.org/10.1007/978-3-0348-7605-6} } @article{BR01a, - author = {Wolfgang Bangerth and Rolf Rannacher}, + author = {W. Bangerth and R. Rannacher}, title = {Adaptive Finite Element Techniques for the Acoustic Wave Equation}, - journal = {J. Comput. Acoustics}, + journal = {Journal of Computational Acoustics}, year = 2001, volume = 9, number = 2, - pages = {575--591} + pages = {575--591}, + url = {https://doi.org/10.1142/S0218396X01000668} } @article{BR01, - author = {Roland Becker and Rolf Rannacher}, - title = {An optimal control approach to error estimation and mesh - adaptation in finite element methods.}, + author = {R. Becker and R. Rannacher}, + title = {An optimal control approach to error estimation and mesh adaptation in finite element methods}, journal = {Acta Numerica}, year = 2001, volume = 10, - pages = {1--102} + pages = {1--102}, + url = {https://doi.org/10.1017/S0962492901000010} } @phdthesis{Bec95, - author = {Roland Becker}, - title = {An Adaptive Finite Element Method for the Incompressible - {N}avier-{S}tokes Equations on Time-dependent Domains}, + author = {R. Becker}, + title = {An Adaptive Finite Element Method for the Incompressible {N}avier--{S}tokes Equations on Time-dependent Domains}, school = {Universit{\"a}t Heidelberg}, type = {Dissertation}, year = 1995 } @techreport{Bec98, - author = {Roland Becker}, - title = {Weighted Error Estimators for the Incompressible {N}avier-{S}tokes Equations}, + author = {R. Becker}, + title = {Weighted Error Estimators for the Incompressible {N}avier--{S}tokes Equations}, institution = {Universit{\"a}t Heidelberg}, - type = {Preprint 98-20}, - year = 1998 + type = {Preprint 98-20}, + year = 1998 } @article{BR96r, - author = {Roland Becker and Rolf Rannacher}, - title = {A Feed-Back Approach to Error Control in Finite Element Methods: - Basic Analysis and Examples}, - journal = {East-West J. Numer. Math}, + author = {R. Becker and R. Rannacher}, + title = {A Feed-Back Approach to Error Control in Finite Element Methods: Basic Analysis and Examples}, + journal = {East--West Journal of Numerical Mathematics}, volume = 4, year = 1996, pages = {237--264} } @inproceedings{BR95, - author = {Roland Becker and Rolf Rannacher}, - title = {Weighted A Posteriori Error Control in {FE} Methods}, - booktitle = {ENUMATH 97}, - editor = {H. G. Bock et al.}, - publisher = {World Scientific Publ., Singapore}, - year = 1998, - pages = {621--637} + author = {R. Becker and R. Rannacher}, + title = {Weighted A Posteriori Error Control in {FE} Methods}, + booktitle = {ENUMATH 97}, + editor = {H. G. Bock et al.}, + publisher = {World Scientific Publishing, Singapore}, + year = 1998, + pages = {621--637} } @article{FK97, - author = {Christian F{\"u}hrer and Guido Kanschat}, + author = {C. F{\"u}hrer and G. Kanschat}, title = {A posteriori error control in radiative transfer}, journal = {Computing}, year = 1997, volume = 58, number = 4, - pages = {317--334} + pages = {317--334}, + url = {https://doi.org/10.1007/BF02684345} } @phdthesis{Har02, - author = {Ralf Hartmann}, + author = {R. Hartmann}, title = {Adaptive Finite Element Methods for the Compressible {E}uler Equations}, school = {Universit{\"a}t Heidelberg}, year = 2002 } @article{HH01, - author = {Ralf Hartmann and Paul Houston}, - title = {Adaptive Discontinuous {G}alerkin Finite Element Methods for - Nonlinear Hyperbolic Conservation Laws}, - publisher = {SIAM} - journal = {Journal on Scientific Computing}, - year = 2003, - volume = 24, - number = 3, - pages = {979--1004} + author = {R. Hartmann and P. Houston}, + title = {Adaptive Discontinuous {G}alerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws}, + publisher = SIAM, + journal = {Journal on Scientific Computing}, + year = 2003, + volume = 24, + number = 3, + pages = {979--1004} } @article{HH01b, - author = {Ralf Hartmann and Paul Houston}, - title = {Adaptive Discontinuous {G}alerkin Finite Element Methods for the - Compressible {E}uler Equations}, + author = {R. Hartmann and P. Houston}, + title = {Adaptive Discontinuous {G}alerkin Finite Element Methods for the Compressible {E}uler Equations}, journal = {Journal of Computational Physics}, year = 2002, volume = 183, number = 2, - pages = {508--532} + pages = {508--532}, + url = {https://doi.org/10.1137/S1064827501389084} } @phdthesis{Kan96, - author = {Guido Kanschat}, - title = {Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems}, + author = {G. Kanschat}, + title = {Parallel and Adaptive {G}alerkin Methods for Radiative Transfer Problems}, school = {Universit{\"a}t Heidelberg}, type = {Dissertation}, year = 1996 } @article{RS97, - author = {Rolf Rannacher and Franz-Theo Suttmeier}, - title = {A feed-back approach to error control in finite element methods: - Application to linear elasticity}, + author = {R. Rannacher and F.-T. Suttmeier}, + title = {A feed-back approach to error control in finite element methods: Application to linear elasticity}, journal = {Computational Mechanics}, year = 1997, volume = 19, number = 5, - pages = {434--446} + pages = {434--446}, + url = {https://doi.org/10.1007/s004660050191} } @article{RS98c, - author = {Rolf Rannacher and Franz-Theo Suttmeier}, - title = {A posteriori error control in finite element methods via duality - techniques: Application to perfect plasticity}, + author = {R. Rannacher and F.-T. Suttmeier}, + title = {A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity}, journal = {Computational Mechanics}, year = 1998, volume = 21, number = 2, - pages = {123--133} + pages = {123--133}, + url = {https://doi.org/10.1007/s004660050288} } @article{RS99, - author = {Rolf Rannacher and Franz-Theo Suttmeier}, - title = {A posteriori error estimation and mesh adaptation for finite - element models in elasto-plasticity}, + author = {R. Rannacher and F.-T. Suttmeier}, + title = {A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = 1999, volume = 176, number = 1, - pages = {333--361} + pages = {333--361}, + url = {https://doi.org/10.1016/S0045-7825(98)00344-2} } @phdthesis{Sut96, - author = {Franz-Theo Suttmeier}, - title = {Adaptive Finite Element Approximation of Problems in - Elasto-Plasticity Theory}, + author = {F.-T. Suttmeier}, + title = {Adaptive Finite Element Approximation of Problems in Elasto-Plasticity Theory}, school = {Universit{\"a}t Heidelberg}, type = {Dissertation}, year = 1996 @@ -256,20 +248,22 @@ %------------------------------------------------------------------------------- +@book{GNS08, + author = {I. Griva and S.G. Nash and A. Sofer}, + title = {Linear and nonlinear optimization}, + publisher = SIAM, + year = 2008, + edition = {2nd}, + url = {https://doi.org/10.1007/978-1-4939-7055-1} +} -@Book{GNS08, - author = {I. Griva and S. G. Nash and A. Sofer}, - title = {Linear and nonlinear optimization}, - publisher = {SIAM}, - year = 2008, - edition = {2nd}} - -@Book{NW99, - author = {J. Nocedal and S. J. Wright}, - title = {Numerical Optimization}, - publisher = {Springer, New York}, - year = 1999, - series = {Springer Series in Operations Research} +@book{NW99, + author = {J. Nocedal and S.J. Wright}, + title = {Numerical Optimization}, + publisher = {Springer, New York}, + year = 1999, + series = {Springer Series in Operations Research}, + url = {https://doi.org/10.1007%2F978-0-387-40065-5} } @@ -279,23 +273,25 @@ %------------------------------------------------------------------------------- @article{CTZ04, - author = {Stéphane Commend and Andrzej Truty and Thomas Zimmermann}, - title = {Stabilized finite elements applied to elastoplasticity: I. Mixed displacement–pressure formulation}, + author = {S. Commend and A. Truty and T. Zimmermann}, + title = {Stabilized finite elements applied to elastoplasticity: I. {M}ixed displacement–pressure formulation}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = 2004, volume = 193, number = 33, - pages = {3559--3586} + pages = {3559--3586}, + url = {https://doi.org/10.1016/j.cma.2004.01.007} } @article{DL05, - author = {Huo-Yuan Duan and Qun Lin}, + author = {H.-Y. Duan and Q. Lin}, title = {Mixed finite elements of least-squares type for elasticity}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = 2005, volume = 194, number = 9, - pages = {1093--1112} + pages = {1093--1112}, + url = {https://doi.org/10.1016/j.cma.2004.06.033} } @@ -303,14 +299,15 @@ % Step 22 % ------------------------------------ -@Article{SW94, - author = {D. Silvester and A. Wathen}, - title = {Fast iterative solution of stabilised {S}tokes systems. {P}art - {II}: {U}sing general block preconditioners}, - journal = {SIAM J. Numer. Anal.}, - year = 1994, - volume = 31, - pages = {1352--1367}} +@article{SW94, + author = {D. Silvester and A. Wathen}, + title = {Fast iterative solution of stabilised {S}tokes systems. {P}art {II}: Using general block preconditioners}, + journal = {SIAM Journal on Numerical Analysis}, + year = 1994, + volume = 31, + pages = {1352--1367}, + url = {https://doi.org/10.1137/0731070} +} % ------------------------------------ @@ -318,8 +315,8 @@ % ------------------------------------ @phdthesis{fehling2020, - author = {Marc Fehling}, - title = {Algorithms for massively parallel generic hp-adaptive finite element methods}, + author = {M. Fehling}, + title = {Algorithms for massively parallel generic \textit{hp}-adaptive finite element methods}, publisher = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag}, school = {Bergische Universität Wuppertal}, year = {2020}, @@ -334,71 +331,67 @@ % ------------------------------------ @article{Brenner2005, - doi = {10.1007/s10915-004-4135-7}, - url = {https://doi.org/10.1007/s10915-004-4135-7}, - year = {2005}, - month = jun, + author = {S.C. Brenner and L.-Y. Sung}, + title = {C$^0$ Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains}, + journal = {Journal of Scientific Computing}, publisher = {Springer Science and Business Media {LLC}}, - volume = {22-23}, - number = {1-3}, - pages = {83--118}, - author = {Susanne C. Brenner and Li-Yeng Sung}, - title = {$C^0$ Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains}, - journal = {Journal of Scientific Computing} + year = {2005}, + volume = {22}, + number = {1}, + pages = {83--118}, + doi = {10.1007/s10915-004-4135-7}, + url = {https://doi.org/10.1007/s10915-004-4135-7} } @incollection{Brenner2011, - doi = {10.1007/978-3-642-23914-4_2}, - url = {https://doi.org/10.1007/978-3-642-23914-4_2}, - year = {2011}, + author = {S.C. Brenner}, + title = {C$^0$ Interior Penalty Methods}, + booktitle = {Lecture Notes in Computational Science and Engineering}, publisher = {Springer Berlin Heidelberg}, - pages = {79--147}, - author = {Susanne C. Brenner}, - title = {$C^0$ Interior Penalty Methods}, - booktitle = {Lecture Notes in Computational Science and Engineering} + year = {2011}, + pages = {79--147}, + doi = {10.1007/978-3-642-23914-4_2}, + url = {https://doi.org/10.1007/978-3-642-23914-4_2} } @article{Engel2002, - doi = {10.1016/s0045-7825(02)00286-4}, - url = {https://doi.org/10.1016/s0045-7825(02)00286-4}, - year = {2002}, - month = jul, - publisher = {Elsevier {BV}}, - volume = {191}, - number = {34}, - pages = {3669--3750}, - author = {G. Engel and K. Garikipati and T.J.R. Hughes and M.G. Larson and L. Mazzei and R.L. Taylor}, - title = {Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity}, - journal = {Computer Methods in Applied Mechanics and Engineering} + author = {G. Engel and K. Garikipati and T.J.R. Hughes and M.G. Larson and L. Mazzei and R.L. Taylor}, + title = {Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity}, + journal = {Computer Methods in Applied Mechanics and Engineering}, + publisher = {Elsevier BV}, + year = {2002}, + volume = {191}, + number = {34}, + pages = {3669--3750}, + doi = {10.1016/s0045-7825(02)00286-4}, + url = {https://doi.org/10.1016/s0045-7825(02)00286-4} } @article{Brenner2009, - doi = {10.1093/imanum/drn057}, - url = {https://doi.org/10.1093/imanum/drn057}, - year = {2009}, - month = mar, + author = {S.C. Brenner and T. Gudi and L.-Y. Sung}, + title = {An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem}, + journal = {IMA Journal of Numerical Analysis}, publisher = {Oxford University Press ({OUP})}, - volume = {30}, - number = {3}, - pages = {777--798}, - author = {S. C. Brenner and T. Gudi and L.-Y. Sung}, - title = {An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem}, - journal = {{IMA} Journal of Numerical Analysis} + year = {2009}, + volume = {30}, + number = {3}, + pages = {777--798}, + doi = {10.1093/imanum/drn057}, + url = {https://doi.org/10.1093/imanum/drn057} } @article{Wells2007, - doi = {10.1016/j.cma.2007.03.008}, - url = {https://doi.org/10.1016/j.cma.2007.03.008}, - year = {2007}, - month = jul, - publisher = {Elsevier {BV}}, - volume = {196}, - number = {35-36}, - pages = {3370--3380}, - author = {Garth N. Wells and Nguyen Tien Dung}, - title = {A C0 discontinuous Galerkin formulation for Kirchhoff plates}, - journal = {Computer Methods in Applied Mechanics and Engineering} + author = {G.N. Wells and N.T. Dung}, + title = {A {C}$^0$ discontinuous {G}alerkin formulation for {K}irchhoff plates}, + journal = {Computer Methods in Applied Mechanics and Engineering}, + publisher = {Elsevier BV}, + year = {2007}, + volume = {196}, + number = {35-36}, + pages = {3370--3380}, + doi = {10.1016/j.cma.2007.03.008}, + url = {https://doi.org/10.1016/j.cma.2007.03.008} } % ------------------------------------ @@ -406,14 +399,15 @@ % ------------------------------------ @article{karakashian2003posteriori, - title={A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems}, - author={Karakashian, Ohannes A and Pascal, Frederic}, - journal={SIAM Journal on Numerical Analysis}, - volume={41}, - number={6}, - pages={2374--2399}, - year={2003}, - publisher={SIAM} + author = {O.A. Karakashian and F. Pascal}, + title = {A posteriori error estimates for a discontinuous {G}alerkin approximation of second-order elliptic problems}, + journal = {SIAM Journal on Numerical Analysis}, + publisher = SIAM, + year = {2003}, + volume = {41}, + number = {6}, + pages = {2374--2399}, + url = {https://doi.org/10.1137/S0036142902405217} } % ------------------------------------ @@ -421,89 +415,77 @@ % ------------------------------------ @article {Ngu2012, - AUTHOR = {Nguyen, N. C. and Peraire, J.}, - TITLE = {Hybridizable discontinuous {G}alerkin methods for partial - differential equations in continuum mechanics}, - JOURNAL = {J. Comput. Phys.}, - FJOURNAL = {Journal of Computational Physics}, - VOLUME = {231}, + AUTHOR = {N.C. Nguyen and J. Peraire}, + TITLE = {Hybridizable discontinuous {G}alerkin methods for partial differential equations in continuum mechanics}, + JOURNAL = {Journal of Computational Physics}, YEAR = {2012}, + VOLUME = {231}, NUMBER = {18}, PAGES = {5955--5988}, - ISSN = {0021-9991}, - MRCLASS = {65N30}, - MRNUMBER = {2954837}, DOI = {10.1016/j.jcp.2012.02.033}, - URL = {https://doi.org/10.1016/j.jcp.2012.02.033}, + URL = {https://doi.org/10.1016/j.jcp.2012.02.033} } @incollection{F65, - author = {Fraeijs de Veubeke, B. X.}, - title = {Displacement and equilibrium models in the finite element method}, + author = {B.X. Fraeijs de Veubeke}, + title = {Displacement and equilibrium models in the finite element method}, booktitle = {Stress Analysis}, publisher = {Wiley, New York}, - editor = {Zienkiewicz, O. C. and Holister, G. S.}, - year = {1965}, - pages = {275-284}, - URL = {https://ci.nii.ac.jp/naid/10003737730/en/}, + editor = {O.C. Zienkiewicz and G.S. Holister}, + year = {1965}, + pages = {275-284}, + URL = {https://ci.nii.ac.jp/naid/10003737730/en/} } @article{G65, - doi = {10.2514/3.2874}, - url = {https://doi.org/10.2514/3.2874}, - year = {1965}, - month = {feb}, + author = {R.J. Guyan}, + title = {Reduction of stiffness and mass matrices}, + journal = {AIAA Journal}, publisher = {American Institute of Aeronautics and Astronautics ({AIAA})}, - volume = {3}, - number = {2}, - pages = {380--380}, - author = {R. J. Guyan}, - title = {Reduction of stiffness and mass matrices}, - journal = {{AIAA} Journal} + year = {1965}, + volume = {3}, + number = {2}, + pages = {380--380}, + doi = {10.2514/3.2874}, + url = {https://doi.org/10.2514/3.2874} } @article {CGL2009, - AUTHOR = {Cockburn, Bernardo and Gopalakrishnan, Jayadeep and Lazarov, Raytcho}, - TITLE = {Unified hybridization of discontinuous {G}alerkin, mixed, and - continuous {G}alerkin methods for second order elliptic - problems}, - JOURNAL = {SIAM J. Numer. Anal.}, - FJOURNAL = {SIAM Journal on Numerical Analysis}, - VOLUME = {47}, + AUTHOR = {B. Cockburn and J. Gopalakrishnan and R. Lazarov}, + TITLE = {Unified hybridization of discontinuous {G}alerkin, mixed, and continuous {G}alerkin methods for second order elliptic problems}, + JOURNAL = {SIAM Journal on Numerical Analysis}, YEAR = {2009}, + VOLUME = {47}, NUMBER = {2}, PAGES = {1319--1365}, - ISSN = {0036-1429}, - MRCLASS = {65N30}, - MRNUMBER = {2485455}, -MRREVIEWER = {Jose Luis Gracia}, DOI = {10.1137/070706616}, - URL = {http://dx.doi.org/10.1137/070706616}, + URL = {https://doi.org/10.1137/070706616} } % ------------------------------------ % Step 55 % ------------------------------------ -@Book{elman2005, +@book{elman2005, + Author = {H.C. Elman and D.J. Silvester and A.J. Wathen}, Title = {Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics}, - Author = {Elman, H. C. and Silvester, D. J. and Wathen, A. J.}, Publisher = {Oxford University Press}, Year = {2005}, Address = {Oxford, New York}, Series = {Numerical Mathematics and Scientific Computation}, - ISBN = {0-19-852868-X}, + Url = {https://doi.org/10.1093/acprof:oso/9780199678792.001.0001} } @inproceedings{kovasznay1948laminar, - title={Laminar flow behind a two-dimensional grid}, - author={Kovasznay, LIG}, - booktitle={Mathematical Proceedings of the Cambridge Philosophical Society}, - volume={44}, - number={1}, - pages={58--62}, - year={1948}, - organization={Cambridge University Press} + author = {L.I.G. Kovasznay}, + title = {Laminar flow behind a two-dimensional grid}, + booktitle = {Mathematical Proceedings of the Cambridge Philosophical Society}, + organization = {Cambridge University Press}, + year = {1948}, + volume = {44}, + number = {1}, + pages = {58--62}, + url = {https://doi.org/10.1017/S0305004100023999} } @@ -512,14 +494,14 @@ MRREVIEWER = {Jose Luis Gracia}, % ------------------------------------ @incollection{Wang2019, - doi = {10.1007/978-3-030-22747-0_37}, - url = {https://doi.org/10.1007/978-3-030-22747-0_37}, - year = {2019}, + author = {Z. Wang and G. Harper and P. O'Leary and J. Liu and S. Tavener}, + title = {deal.{II} Implementation of a Weak {G}alerkin Finite Element Solver for Darcy Flow}, + booktitle = {Lecture Notes in Computer Science}, publisher = {Springer International Publishing}, - pages = {495--509}, - author = {Zhuoran Wang and Graham Harper and Patrick O'Leary and Jiangguo Liu and Simon Tavener}, - title = {deal.{II} Implementation of a Weak Galerkin Finite Element Solver for Darcy Flow}, - booktitle = {Lecture Notes in Computer Science} + year = {2019}, + pages = {495--509}, + doi = {10.1007/978-3-030-22747-0_37}, + url = {https://doi.org/10.1007/978-3-030-22747-0_37} } % ------------------------------------ @@ -527,34 +509,36 @@ MRREVIEWER = {Jose Luis Gracia}, % ------------------------------------ @incollection{john2006discontinuity, - title={On discontinuity—capturing methods for convection—diffusion equations}, - author={John, Volker and Knobloch, Petr}, - booktitle={Numerical Mathematics and Advanced Applications}, - pages={336--344}, - year={2006}, - publisher={Springer} + author = {V. John and P. Knobloch}, + title = {On discontinuity—capturing methods for convection—diffusion equations}, + booktitle = {Numerical Mathematics and Advanced Applications}, + publisher = {Springer}, + year = {2006}, + pages = {336--344}, + url = {https://doi.org/10.1007/978-3-540-34288-5_27} } @article{KanschatNotesIterative, - title={Notes on Applied Mathematics: Iterative methods, Schwarz preconditioners and multigrid}, - author={Kanschat, Guido}, - year={2015}, - url={https://www.mathsim.eu/~gkanscha/notes/C.pdf} + author = {G. Kanschat}, + title = {Notes on Applied Mathematics: Iterative methods, Schwarz preconditioners and multigrid}, + year = {2015}, + url = {https://www.mathsim.eu/~gkanscha/notes/C.pdf} } @book{smith2004domain, - title={Domain decomposition: parallel multilevel methods for elliptic partial differential equations}, - author={Smith, Barry and Bjorstad, Petter and Gropp, William}, - year={2004}, - publisher={Cambridge University Press} + author = {B. Smith and P. Bjorstad and W. Gropp}, + title = {Domain decomposition: parallel multilevel methods for elliptic partial differential equations}, + publisher = {Cambridge University Press}, + year = {2004} } @book{toselli2006domain, - title={Domain decomposition methods-algorithms and theory}, - author={Toselli, Andrea and Widlund, Olof}, - volume={34}, - year={2006}, - publisher={Springer Science \& Business Media} + author = {A. Toselli and O. Widlund}, + title = {Domain decomposition methods-algorithms and theory}, + publisher = {Springer Science \& Business Media}, + year = {2006}, + volume = {34}, + url = {https://doi.org/10.1007/b137868} } % ------------------------------------ @@ -562,17 +546,18 @@ MRREVIEWER = {Jose Luis Gracia}, % ------------------------------------ @book{bebernes1989mathematical, + author = {J. Bebernes and D. Eberly}, title = {Mathematical Problems from Combustion Theory}, - author = {Bebernes, J. and Eberly, D.}, + publisher = {Springer-Verlag, New York, NY}, + year = {1989}, volume = {83}, series = {Applied Mathematical Sciences}, - publisher = {Springer-Verlag, New York, NY}, - year = {1989} + url = {https://doi.org/10.1007/978-1-4612-4546-9} } @phdthesis{castelli2021numerical, author = {Castelli, G. F.}, - title = {Numerical Investigation of {Cahn--Hilliard}-Type Phase-Field Models for Battery Active Particles}, + title = {Numerical Investigation of {C}ahn--{H}illiard-Type Phase-Field Models for Battery Active Particles}, school = {Karlsruhe Institute of Technology (KIT)}, year = {2021}, note = {(To be published)} @@ -583,87 +568,85 @@ MRREVIEWER = {Jose Luis Gracia}, % ------------------------------------ @article{KennedyCarpenterLewis2000, -author = {Kennedy, Christopher A. and Carpenter, Mark H. and Lewis, R. Micheal}, -title = {Low-storage, explicit {R}unge--{K}utta schemes for the compressible {N}avier--{S}tokes equations}, -journal = {Applied Numerical Mathematics}, -volume = 35, -year = 2000, -pages = {177--219}, -doi = {10.1016/S0168-9274(99)00141-5}, -url = {https://doi.org/10.1016/S0168-9274(99)00141-5} + author = {C.A. Kennedy and M.H. Carpenter and R.M. Lewis}, + title = {Low-storage, explicit {R}unge--{K}utta schemes for the compressible {N}avier--{S}tokes equations}, + journal = {Applied Numerical Mathematics}, + year = 2000, + volume = 35, + pages = {177--219}, + doi = {10.1016/S0168-9274(99)00141-5}, + url = {https://doi.org/10.1016/S0168-9274(99)00141-5} } @article{TseliosSimos2007, -author = {Tselios, Kostas and Simos, Theodore E.}, -title = {Optimized {R}unge--{K}utta methods with minimal dispersion and dissipation for problems arising from computational acoustics}, -journal = {Physics Letters A}, -volume = 363, -year = 2007, -pages = {38--48}, -doi = {10.1016/j.physleta.2006.10.072}, -url = {https://doi.org/10.1016/j.physleta.2006.10.072} + author = {K. Tselios and T.E. Simos}, + title = {Optimized {R}unge--{K}utta methods with minimal dispersion and dissipation for problems arising from computational acoustics}, + journal = {Physics Letters A}, + year = 2007, + volume = 363, + pages = {38--48}, + doi = {10.1016/j.physleta.2006.10.072}, + url = {https://doi.org/10.1016/j.physleta.2006.10.072} } @article{KronbichlerSchoeder2016, -author = {Kronbichler, Martin and Schoeder, Svenja and M\"uller, Christopher and Wall, Wolfgang A.}, -title = {Comparison of implicit and explicit hybridizable discontinuous {G}alerkin methods for the acoustic wave equation}, -journal = {International Journal for Numerical Methods in Engineering}, -volume = "106", -number = 9, -pages = "712--739", -doi = {10.1002/nme.5137}, -url = {https://doi.org/10.1002/nme.5137}, -year = {2016} + author = {M. Kronbichler and S. Schoeder and C. M\"uller and W.A. Wall}, + title = {Comparison of implicit and explicit hybridizable discontinuous {G}alerkin methods for the acoustic wave equation}, + journal = {International Journal for Numerical Methods in Engineering}, + year = {2016} + volume = {106}, + number = {9}, + pages = {712--739}, + doi = {10.1002/nme.5137}, + url = {https://doi.org/10.1002/nme.5137} } @article{SchoederKormann2018, - title={Efficient explicit time stepping of high order discontinuous {G}alerkin schemes for waves}, - author={Schoeder, Svenja and Kormann, Katharina and Wall, Wolfgang A. and Kronbichler, Martin}, - journal={SIAM J. Sci. Comput.}, - pages = {C803--C826}, - volume = 40, - number = 6, - year={2018}, - doi={10.1137/18M1185399}, - url={https://doi.org/10.1137/18M1185399} + author = {S. Schoeder and K. Kormann and W.A. Wall and M. Kronbichler}, + title = {Efficient explicit time stepping of high order discontinuous {G}alerkin schemes for waves}, + journal = {SIAM Journal on Scientific Computing}, + year = {2018}, + volume = 40, + number = 6, + pages = {C803--C826}, + doi = {10.1137/18M1185399}, + url = {https://doi.org/10.1137/18M1185399} } - @article{FehnWallKronbichler2019, -author = {Fehn, Niklas and Wall, Wolfgang A. and Kronbichler, Martin}, -title = {A matrix-free high-order discontinuous {G}alerkin compressible {N}avier--{S}tokes solver: -A performance comparison of compressible and incompressible formulations for turbulent incompressible flows}, -journal = {International Journal for Numerical Methods in Fluids}, -volume = {89}, -number = {3}, -pages = {71--102}, -year = {2019}, -doi = {10.1002/fld.4683}, -url = {https://doi.org/10.1002/fld.4683} + author = {N. Fehn and W.A. Wall and M. Kronbichler}, + title = {A matrix-free high-order discontinuous {G}alerkin compressible {N}avier--{S}tokes solver: A performance comparison of compressible and incompressible formulations for turbulent incompressible flows}, + journal = {International Journal for Numerical Methods in Fluids}, + year = {2019}, + volume = {89}, + number = {3}, + pages = {71--102}, +% doi = {10.1002/fld.4683}, + url = {https://doi.org/10.1002/fld.4683} } @article{KronbichlerKormann2019, -author = {Kronbichler, Martin and Kormann, Katharina}, -title = {Fast matrix-free evaluation of discontinuous {G}alerkin finite element operators}, -journal = {ACM Transactions on Mathematical Software}, -volume = {45}, -number = {3}, -pages = {29:1--29:40}, -year = {2019}, -doi = {10.1145/3325864}, -url = {https://doi.org/10.1145/3325864} + author = {M. Kronbichler and K. Kormann}, + title = {Fast matrix-free evaluation of discontinuous {G}alerkin finite element operators}, + journal = {ACM Transactions on Mathematical Software}, + year = {2019}, + volume = {45}, + number = {3}, + pages = {29:1--29:40}, + doi = {10.1145/3325864}, + url = {https://doi.org/10.1145/3325864} } @article{Gassner2013, - doi = {10.1137/120890144}, - url = {https://doi.org/10.1137/120890144}, - year = {2013}, - volume = {35}, - number = {3}, - pages = {A1233--A1253}, - author = {Gregor J. Gassner}, - title = {A Skew-Symmetric Discontinuous {G}alerkin Spectral Element Discretization and Its Relation to {SBP}-{SAT} Finite Difference Methods}, - journal = {{SIAM} Journal on Scientific Computing} + author = {G.J. Gassner}, + title = {A Skew-Symmetric Discontinuous {G}alerkin Spectral Element Discretization and Its Relation to {SBP}-{SAT} Finite Difference Methods}, + journal = {SIAM Journal on Scientific Computing}, + year = {2013}, + volume = {35}, + number = {3}, + pages = {A1233--A1253}, + doi = {10.1137/120890144}, + url = {https://doi.org/10.1137/120890144} } % ------------------------------------ @@ -671,35 +654,38 @@ url = {https://doi.org/10.1145/3325864} % ------------------------------------ @article{Blais2013, - title={Dealing with more than two materials in the FVCF--ENIP method}, - author={Blais, Bruno and Braeunig, Jean-Philippe and Chauveheid, Daniel and Ghidaglia, Jean-Michel and Loub{\`e}re, Rapha{\"e}l}, - journal={European Journal of Mechanics-B/Fluids}, - volume={42}, - pages={1--9}, - year={2013}, - publisher={Elsevier} + author = {B. Blais and J.-P. Braeunig and D. Chauveheid and J.-M. Ghidaglia and R. Loub{\`e}re}, + title = {Dealing with more than two materials in the {FVCF}--{ENIP} method}, + journal = {European Journal of Mechanics-B/Fluids}, + publisher = {Elsevier}, + year = {2013}, + volume = {42}, + pages = {1--9}, + url = {https://doi.org/10.1016/j.euromechflu.2013.05.001} } @article{Blais2019, - title={Experimental Methods in Chemical Engineering: Discrete Element Method—DEM}, - author={Blais, Bruno and Vidal, David and Bertrand, Francois and Patience, Gregory S and Chaouki, Jamal}, - journal={The Canadian Journal of Chemical Engineering}, - volume={97}, - number={7}, - pages={1964--1973}, - year={2019}, - publisher={Wiley Online Library} + author = {B. Blais and D. Vidal and F. Bertrand and G.S. Patience and J. Chaouki}, + title = {Experimental Methods in Chemical Engineering: Discrete Element Method--{DEM}}, + journal = {The Canadian Journal of Chemical Engineering}, + publisher = {Wiley Online Library}, + year = {2019}, + volume = {97}, + number = {7}, + pages = {1964--1973}, + url = {https://doi.org/10.1002/cjce.23501} } @article{Gassmoller2019, - title={Evaluating the accuracy of hybrid finite element/particle-in-cell methods for modelling incompressible Stokes flow}, - author={Gassm{\"o}ller, Rene and Lokavarapu, Harsha and Bangerth, Wolfgang and Puckett, Elbridge Gerry}, - journal={Geophysical Journal International}, - volume={219}, - number={3}, - pages={1915--1938}, - year={2019}, - publisher={Oxford University Press} + author = {R. Gassm{\"o}ller and H. Lokavarapu and W. Bangerth and E.G. Puckett}, + title = {Evaluating the accuracy of hybrid finite element/particle-in-cell methods for modelling incompressible {S}tokes flow}, + journal = {Geophysical Journal International}, + publisher = {Oxford University Press}, + year = {2019}, + volume = {219}, + number = {3}, + pages = {1915--1938}, + url = {https://doi.org/10.1093/gji/ggz405} } @@ -708,107 +694,96 @@ url = {https://doi.org/10.1145/3325864} % ------------------------------------ @article {GuermondPopov2016, - AUTHOR = {Guermond, Jean-Luc and Popov, Bojan}, - TITLE = {Invariant domains and first-order continuous finite element - approximation for hyperbolic systems}, - JOURNAL = {SIAM J. Numer. Anal.}, - FJOURNAL = {SIAM Journal on Numerical Analysis}, - VOLUME = {54}, + AUTHOR = {J.-L. Guermond and B. Popov}, + TITLE = {Invariant domains and first-order continuous finite element approximation for hyperbolic systems}, + JOURNAL = {SIAM Journal on Numerical Analysis}, YEAR = {2016}, + VOLUME = {54}, NUMBER = {4}, PAGES = {2466--2489}, - ISSN = {0036-1429}, DOI = {10.1137/16M1074291}, + URL = {https://doi.org/10.1137/16M1074291} } @article {GuermondPopov2016b, - AUTHOR = {Guermond, Jean-Luc and Popov, Bojan}, - TITLE = {Fast estimation of the maximum wave speed in the Riemann problem for the Euler equations}, - JOURNAL = {J. Comput. Phys.}, - FJOURNAL = {Journal of Computational Physics}, - VOLUME = {321}, + AUTHOR = {J.-L. Guermond and B. Popov}, + TITLE = {Fast estimation of the maximum wave speed in the {R}iemann problem for the {E}uler equations}, + JOURNAL = {Journal of Computational Physics}, YEAR = {2016}, + VOLUME = {321}, PAGES = {908--926}, - ISSN = {0021-9991}, DOI = {10.1016/j.jcp.2016.05.054}, + URL = {https://doi.org/10.1016/j.jcp.2016.05.054} } @article {GuermondEtAl2018, - AUTHOR = {Guermond, Jean-Luc and Nazarov, Murtazo and Popov, Bojan and - Tomas, Ignacio}, - TITLE = {Second-order invariant domain preserving approximation of the - {E}uler equations using convex limiting}, - JOURNAL = {SIAM J. Sci. Comput.}, - FJOURNAL = {SIAM Journal on Scientific Computing}, - VOLUME = {40}, + AUTHOR = {J.-L. Guermond and M. Nazarov and B. Popov and I. Tomas}, + TITLE = {Second-order invariant domain preserving approximation of the {E}uler equations using convex limiting}, + JOURNAL = {SIAM Journal on Scientific Computing}, YEAR = {2018}, + VOLUME = {40}, NUMBER = {5}, PAGES = {A3211--A3239}, - ISSN = {1064-8275}, DOI = {10.1137/17M1149961}, + URL = {http://doi.org/10.1137/17M1149961} } @book {GuermondErn2004, - AUTHOR = {Ern, Alexandre and Guermond, Jean-Luc}, + AUTHOR = {A. Ern and J.-L. Guermond}, TITLE = {Theory and practice of finite elements}, SERIES = {Applied Mathematical Sciences}, VOLUME = {159}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {2004}, PAGES = {xiv+524}, - ISBN = {0-387-20574-8}, DOI = {10.1007/978-1-4757-4355-5}, + URL = {https://doi.org/10.1007/978-1-4757-4355-5} } @article {Brooks1982, - AUTHOR = {Brooks, Alexander N. and Hughes, Thomas J. R.}, - TITLE = {Streamline upwind/{P}etrov-{G}alerkin formulations for - convection dominated flows with particular emphasis on the - incompressible {N}avier-{S}tokes equations}, + AUTHOR = {A.N. Brooks and T.J.R. Hughes}, + TITLE = {Streamline upwind/{P}etrov-{G}alerkin formulations for convection dominated flows with particular emphasis on the incompressible {N}avier-{S}tokes equations}, NOTE = {FENOMECH ''81, Part I (Stuttgart, 1981)}, - JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, - FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, - VOLUME = {32}, + JOURNAL = {Computer Methods in Applied Mechanics and Engineering}, YEAR = {1982}, + VOLUME = {32}, NUMBER = {1-3}, PAGES = {199--259}, - ISSN = {0045-7825}, DOI = {10.1016/0045-7825(82)90071-8}, + URL = {https://doi.org/10.1016/0045-7825(82)90071-8} } @article {Johnson1986, - AUTHOR = {Johnson, C. and Pitk\"{a}ranta, J.}, - TITLE = {An analysis of the discontinuous {G}alerkin method for a - scalar hyperbolic equation}, - JOURNAL = {Math. Comp.}, - FJOURNAL = {Mathematics of Computation}, + AUTHOR = {C. Johnson and J. Pitk\"{a}ranta}, + TITLE = {An analysis of the discontinuous {G}alerkin method for a scalar hyperbolic equation}, + JOURNAL = {Mathematics of Computation}, + YEAR = {1986}, VOLUME = {46}, - YEAR = {1986}, NUMBER = {173}, PAGES = {1--26}, - ISSN = {0025-5718}, DOI = {10.2307/2008211}, + URL = {https://doi.org/10.2307/2008211} } @book{Rainald2008, -author = {Lohner, Rainald}, -publisher = {John Wiley & Sons, Ltd}, -isbn = {9780470989746}, -title = {Edge-Based Compressible Flow Solvers}, -booktitle = {Applied Computational Fluid Dynamics Techniques}, -chapter = {10}, -pages = {187-200}, -doi = {10.1002/9780470989746.ch10}, -year = {2008}, + author = {R. Lohner}, + title = {Edge-Based Compressible Flow Solvers}, + booktitle = {Applied Computational Fluid Dynamics Techniques}, + publisher = {John Wiley & Sons, Ltd}, + year = {2008}, + chapter = {10}, + pages = {187-200}, + doi = {10.1002/9780470989746.ch10}, + url = {https://doi.org/10.1002/9780470989746.ch10} } @book {Toro2009, - AUTHOR = {Eleuterio F. Toro}, + AUTHOR = {F.T. Eleuterio}, + TITLE = {Riemann Solvers and Numerical Methods for Fluid Dynamics}, PUBLISHER = {Springer-Verlag, Berlin, Heidelberg}, - ISBN = {9783540252023}, - TITLE ={Riemann Solvers and Numerical Methods for Fluid Dynamics}, - doi = {10.1007/b79761}, - year = {2009} + year = {2009}, + doi = {10.1007/b79761}, + url = {https:doi.org/10.1007/b79761} } @@ -817,84 +792,76 @@ year = {2008}, % ------------------------------------ - -@InProceedings{Freund1995, - author = {Freund, J. and Stenberg, R.}, - title = {On weakly imposed boundary conditions for - second order problems}, - booktitle = {Proceedings of the Ninth International Conference on - Finite Elements in Fluids}, +@inproceedings{Freund1995, + author = {J. Freund and R. Stenberg}, + title = {On weakly imposed boundary conditions for second order problems}, + booktitle = {Proceedings of the Ninth International Conference on Finite Elements in Fluids}, year = 1995, - pages = {327--336}} + pages = {327--336} +} @article{Angot1999, - doi = {10.1007/s002110050401}, - url = {https://doi.org/10.1007/s002110050401}, - year = {1999}, - month = feb, + author = {P. Angot and C.-H. Bruneau and P. Fabrie}, + title = {A penalization method to take into account obstacles in incompressible viscous flows}, + journal = {Numerische Mathematik}, publisher = {Springer Science and Business Media {LLC}}, - volume = {81}, - number = {4}, - pages = {497--520}, - author = {Philippe Angot and Charles-Henri Bruneau and Pierre Fabrie}, - title = {A penalization method to take into account obstacles in incompressible viscous flows}, - journal = {Numerische Mathematik} + year = {1999}, + volume = {81}, + number = {4}, + pages = {497--520}, + doi = {10.1007/s002110050401}, + url = {https://doi.org/10.1007/s002110050401} } - @article{Glowinski1999, - doi = {10.1016/s0301-9322(98)00048-2}, - url = {https://doi.org/10.1016/s0301-9322(98)00048-2}, - year = {1999}, - month = aug, - publisher = {Elsevier {BV}}, - volume = {25}, - number = {5}, - pages = {755--794}, - author = {R. Glowinski and T.-W. Pan and T.I. Hesla and D.D. Joseph}, - title = {A distributed Lagrange multiplier/fictitious domain method for particulate flows}, - journal = {International Journal of Multiphase Flow} + author = {R. Glowinski and T.-W. Pan and T.I. Hesla and D.D. Joseph}, + title = {A distributed Lagrange multiplier/fictitious domain method for particulate flows}, + journal = {International Journal of Multiphase Flow}, + publisher = {Elsevier BV}, + year = {1999}, + volume = {25}, + number = {5}, + pages = {755--794}, + doi = {10.1016/s0301-9322(98)00048-2}, + url = {https://doi.org/10.1016/s0301-9322(98)00048-2} } @article{Boffi2008, - doi = {10.1016/j.cma.2007.09.015}, - url = {https://doi.org/10.1016/j.cma.2007.09.015}, - year = {2008}, - month = apr, - publisher = {Elsevier {BV}}, - volume = {197}, - number = {25-28}, - pages = {2210--2231}, - author = {Daniele Boffi and Lucia Gastaldi and Luca Heltai and Charles S. Peskin}, - title = {On the hyper-elastic formulation of the immersed boundary method}, - journal = {Computer Methods in Applied Mechanics and Engineering} + author = {D. Boffi and L. Gastaldi and L. Heltai and Ch.S. Peskin}, + title = {On the hyper-elastic formulation of the immersed boundary method}, + journal = {Computer Methods in Applied Mechanics and Engineering}, + publisher = {Elsevier BV}, + year = {2008}, + volume = {197}, + number = {25-28}, + pages = {2210--2231}, + doi = {10.1016/j.cma.2007.09.015}, + url = {https://doi.org/10.1016/j.cma.2007.09.015} } - @article{Heltai2012, - doi = {10.1016/j.cma.2012.04.001}, - url = {https://doi.org/10.1016/j.cma.2012.04.001}, - year = {2012}, - month = jul, - publisher = {Elsevier {BV}}, - volume = {229-232}, - pages = {110--127}, - author = {Luca Heltai and Francesco Costanzo}, - title = {Variational implementation of immersed finite element methods}, - journal = {Computer Methods in Applied Mechanics and Engineering} + author = {L. Heltai and F. Costanzo}, + title = {Variational implementation of immersed finite element methods}, + journal = {Computer Methods in Applied Mechanics and Engineering}, + publisher = {Elsevier BV}, + year = {2012}, + volume = {229-232}, + pages = {110--127}, + doi = {10.1016/j.cma.2012.04.001}, + url = {https://doi.org/10.1016/j.cma.2012.04.001} } @article{Riviere1999, - doi = {10.1023/a:1011591328604}, - url = {https://doi.org/10.1023/a:1011591328604}, - year = {1999}, + author = {B. Rivi{\`{e}}re and M.F. Wheeler and V. Girault}, + title = {Improved energy estimates for interior penalty, constrained and discontinuous {G}alerkin methods for elliptic problems. {P}art {I}}, + journal = {Computational Geosciences}, publisher = {Springer Science and Business Media {LLC}}, - volume = {3}, - number = {3/4}, - pages = {337--360}, - author = {B{\'{e}}atrice Rivi{\`{e}}re and Mary F. Wheeler and Vivette Girault}, - journal = {Computational Geosciences}, - title = {Improved energy estimates for interior penalty, constrained and discontinuous {G}alerkin methods for elliptic problems. {P}art {I}} + year = {1999}, + volume = {3}, + number = {3}, + pages = {337--360}, + doi = {10.1023/a:1011591328604}, + url = {https://doi.org/10.1023/a:1011591328604} } @@ -904,15 +871,13 @@ year = {2008}, @book{Pelteret2019a, - author = {Pelteret, J-P. V. and Steinmann, P.}, - publisher = {De Gruyter Mouton}, + author = {J.-P. Pelteret and P. Steinmann}, title = {Magneto-active polymers: Fabrication, characterisation, modelling and simulation at the micro- and macro-scale}, + publisher = {De Gruyter Mouton}, year = {2019}, edition = {1}, - isbn = {9783110419511}, - comment = {In collaboration with: B. Brands, G. Chatzigeorgiou, D. Davydov, M. Hossain, A. Javili, D. Pivovarov, P. Saxena, F. Vogel, D.K. Vu, B. Walter and R. Zabihyan}, doi = {10.1515/9783110418576}, - url = {https://www.degruyter.com/document/doi/10.1515/9783110418576/html}, + url = {https://www.degruyter.com/document/doi/10.1515/9783110418576/html} } @book{Logg2012a, @@ -920,130 +885,130 @@ year = {2008}, publisher = {Springer Berlin Heidelberg}, year = {2012}, editor = {A. Logg and K.-A. Mardal and G. Wells}, - isbn = {978-3-642-23098-1}, doi = {10.1007/978-3-642-23099-8}, + url = {https://doi.org/10.1007/978-3-642-23099-8} } @book{Korelc2016a, + author = {J. Korelc and P. Wriggers}, title = {Automation of Finite Element Methods}, publisher = {Springer Nature}, year = {2016}, - author = {J. Korelc and P. Wriggers}, - isbn = {978-3-319-39003-1}, doi = {10.1007/978-3-319-39005-5}, + url = {https://doi.org/10.1007/978-3-319-39005-5} } @inbook{Truesdell1960a, + author = {C. Truesdell and R. Toupin}, + title = {Encyclopedia of Physics: Principles of Thermodynamics and Statics}, chapter = {2: The classical field theories}, - pages = {226--794}, - title = {Encyclopedia of Physics: Principles of Thermodynamics and Statics}, publisher = {Springer-Verlag Berlin Heidelberg}, - year = {1960}, - author = {Truesdell, C. and Toupin, R.}, - editor = {Fl\"{u}gge, S.}, - volume = {1}, - isbn = {978-3-540-02547-4}, + year = {1960}, + editor = {S. Fl\"{u}gge}, + volume = {1}, + pages = {226--794}, doi = {10.1007/978-3-642-45943-6}, + url = {https://doi.org/10.1007/978-3-642-45943-6} } -@Article{Coleman1963a, - author = {Coleman, B. D. and Noll, W.}, +@article{Coleman1963a, + author = {B.D. Coleman and W. Noll}, title = {The thermodynamics of elastic materials with heat conduction and viscosity}, journal = {Archive for Rational Mechanics and Analysis}, + publisher = {Springer}, year = {1963}, volume = {13}, number = {1}, pages = {167--178}, - month = dec, doi = {10.1007/BF01262690}, - publisher = {Springer}, + url = {https://doi.org/10.1007/BF01262690} } -@Article{Coleman1967a, - author = {Coleman, B. D. and Gurtin, M. E.}, +@article{Coleman1967a, + author = {B.D. Coleman and M.E. Gurtin}, title = {Thermodynamics with internal state variables}, + journal = {The Journal of Chemical Physics}, + publisher = {{AIP} Publishing}, year = {1967}, volume = {47}, number = {2}, pages = {597--613}, doi = {10.1063/1.1711937}, - journal = {The Journal of Chemical Physics}, - publisher = {AIP Publishing}, + url = {https://doi.org/10.1063/1.1711937} } -@InCollection{Pao1978a, - author = {Pao, Y. H.}, +@incollection{Pao1978a, + author = {Y.H. Pao}, title = {Electromagnetic Forces in Deformable Continua}, booktitle = {Mechanics Today}, publisher = {Elsevier}, year = {1978}, - editor = {Nemat-Nasser, S.}, + editor = {S. Nemat-Nasser}, volume = {4}, series = {Pergamon Mechanics Today Series}, chapter = {IV}, pages = {209--305}, address = {New York}, - isbn = {978-0-08-021792-5}, doi = {10.1016/b978-0-08-021792-5.50012-4}, + url = {https://doi.org/10.1016/b978-0-08-021792-5.50012-4} } -@Article{Holzapfel1996a, - author = {Holzapfel, G. A. and Simo, J. C.}, +@article{Holzapfel1996a, + author = {G.A. Holzapfel and J.C. Simo}, title = {A new viscoelastic constitutive model for continuous media at finite thermomechanical changes}, journal = {International Journal of Solids and Structures}, + publisher = {Elsevier}, year = {1996}, volume = {33}, number = {20--22}, pages = {3019--3034}, - month = aug, - doi = {10.1016/0020-7683(95)00263-4}, - publisher = {Elsevier}, +% doi = {10.1016/0020-7683(95)00263-4}, + url = {https://doi.org/10.1016/0020-7683(95)00263-4} } -@Book{Holzapfel2007a, +@book{Holzapfel2007a, + author = {G.A. Holzapfel}, title = {Nonlinear Solid Mechanics: A Continuum Approach for Engineering}, publisher = {John Wiley \& Sons Ltd.}, year = {2007}, - author = {Holzapfel, G. A.}, - address = {West Sussex, England}, - isbn = {0-471-82304-X} + address = {West Sussex, England} } -@Article{Linder2011a, - author = {Linder, C. and Tkachuk, M. and Miehe, C.}, +@article{Linder2011a, + author = {C. Linder and M. Tkachuk and C. Miehe}, title = {A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity}, journal = {Journal of the Mechanics and Physics of Solids}, + publisher = {Elsevier}, year = {2011}, volume = {59}, number = {10}, pages = {2134--2156}, - month = oct, - doi = {10.1016/j.jmps.2011.05.005}, - publisher = {Elsevier}, +% doi = {10.1016/j.jmps.2011.05.005}, + url = {https://doi.org/10.1016/j.jmps.2011.05.005} } -@Article{Pelteret2018a, - author = {Pelteret, J.-P. V. and Walter, B. and Steinmann, P.}, +@article{Pelteret2018a, + author = {J.-P. Pelteret and B. Walter and P. Steinmann}, title = {Application of metaheuristic algorithms to the identification of nonlinear magneto-viscoelastic constitutive parameters}, journal = {Journal of Magnetism and Magnetic Materials}, + publisher = {Elsevier BV}, year = {2018}, volume = {464}, pages = {116--131}, - month = oct, doi = {10.1016/j.jmmm.2018.02.094}, - publisher = {Elsevier {BV}}, + url = {https://doi.org/10.1016/j.jmmm.2018.02.094} } -@Article{Koprowski-Theiss2011a, - author = {Koprowski-Theiss, N. and Johlitz, M. and Diebels, S.}, +@article{Koprowski-Theiss2011a, + author = {N. Koprowski-Theiss and M. Johlitz and S. Diebels}, title = {Characterizing the time dependence of filled {EPDM}}, journal = {Rubber Chemistry and Technology}, year = {2011}, volume = {84}, number = {2}, pages = {147--165}, - month = jun, - doi = {10.5254/1.3570527} + doi = {10.5254/1.3570527}, + url = {https://doi.org/10.5254/1.3570527} } @@ -1052,22 +1017,24 @@ year = {2008}, % ------------------------------------ @book{di2011mathematical, - title={Mathematical aspects of discontinuous Galerkin methods}, - author={Di Pietro, Daniele Antonio and Ern, Alexandre}, - volume={69}, - year={2011}, - publisher={Springer Science \& Business Media} + author = {D.A. Di Pietro and A. Ern}, + title = {Mathematical aspects of discontinuous {G}alerkin methods}, + publisher = {Springer Science \& Business Media}, + volume = {69}, + year = {2011}, + url = {https://doi.org/10.1007/978-3-642-22980-0} } @article{ainsworth2007posteriori, - title={A posteriori error estimation for discontinuous Galerkin finite element approximation}, - author={Ainsworth, Mark}, - journal={SIAM Journal on Numerical Analysis}, - volume={45}, - number={4}, - pages={1777--1798}, - year={2007}, - publisher={SIAM} + author = {M. Ainsworth}, + title = {A posteriori error estimation for discontinuous {G}alerkin finite element approximation}, + journal = {SIAM Journal on Numerical Analysis}, + publisher = SIAM, + year = {2007}, + volume = {45}, + number = {4}, + pages = {1777--1798}, + url = {https://doi.org/10.1137/060665993} } @@ -1076,41 +1043,38 @@ year = {2008}, % ------------------------------------ @book{brenner2008, - title = {The {{Mathematical Theory}} of {{Finite Element Methods}}}, - author = {Brenner, Susanne and Scott, Ridgway}, + author = {S. Brenner and R. Scott}, + title = {The {{Mathematical Theory}} of {{Finite Element Methods}}}, + publisher = {{Springer-Verlag}}, year = {2008}, edition = {3}, - publisher = {{Springer-Verlag}}, + series = {Texts in {{Applied Mathematics}}}, location = {{New York}}, - url = {https://www.springer.com/de/book/9780387759333}, - isbn = {978-0-387-75933-3}, - series = {Texts in {{Applied Mathematics}}} + url = {https://www.springer.com/de/book/9780387759333} } @article{mitchell2010hpmg, + author = {W.F. Mitchell}, title = {The \textit{hp}‐multigrid method applied to \textit{hp}‐adaptive refinement of triangular grids}, - author = {Mitchell, William F.}, - year = {2010}, - month = {Apr}, journal = {Numerical Linear Algebra with Applications}, + year = {2010}, volume = {17}, + number = {2-3} pages = {211--228}, - issn = {1070-5325}, doi = {10.1002/nla.700}, - number = {2-3} + url = {https://doi.org/10.1002/nla.700} } @article{mitchell2014hp, - title = {A {{Comparison}} of \textit{hp}-{{Adaptive Strategies}} for {{Elliptic Partial Differential Equations}}}, - author = {Mitchell, William F. and McClain, Marjorie A.}, + author = {W.F. Mitchell and M.A. McClain}, + title = {A Comparison of \textit{hp}-Adaptive Strategies for Elliptic Partial Differential Equations}, + journal = {ACM Transactions on Mathematical Software}, year = {2014}, - month = {Oct}, - journal = {ACM Trans. Math. Softw.}, volume = {41}, + number = {1} pages = {2/1-39}, - issn = {0098-3500}, doi = {10.1145/2629459}, - number = {1} + url = {https://doi.org/10.1145/2629459} } @@ -1119,12 +1083,12 @@ year = {2008}, % ------------------------------------ @misc{munch2020hyperdeal, - title={hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations}, - author={Peter Munch and Katharina Kormann and Martin Kronbichler}, - year={2020}, - eprint={2002.08110}, - archivePrefix={arXiv}, - primaryClass={cs.MS} + author = {P. Munch and K. Kormann and M. Kronbichler}, + title = {hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations}, + year = {2020}, + eprint = {2002.08110}, + archivePrefix = {arXiv}, + primaryClass = {cs.MS} } @@ -1134,16 +1098,15 @@ year = {2008}, @article{eiwa96, -author = {Stanley C. Eisenstat and Homer F. Walker}, -title = {Choosing the Forcing Terms in an Inexact {N}ewton Method}, -journal = {SIAM Journal on Scientific Computing}, -volume = {17}, -number = {1}, -pages = {16-32}, -year = {1996}, -doi = {10.1137/0917003}, -URL = {http://dx.doi.org/10.1137/0917003}, -eprint = {http://dx.doi.org/10.1137/0917003} + author = {C.E. Stanley and F.W. Homer}, + title = {Choosing the Forcing Terms in an Inexact {N}ewton Method}, + journal = {SIAM Journal on Scientific Computing}, + year = {1996}, + volume = {17}, + number = {1}, + pages = {16--32}, + doi = {10.1137/0917003}, + URL = {https://doi.org/10.1137/0917003} } @@ -1152,24 +1115,26 @@ eprint = {http://dx.doi.org/10.1137/0917003} % ------------------------------------ @article{black1973pricing, - title={The Pricing of Options and Corporate Liabilities}, - author={Black, Fischer and Scholes, Myron}, - journal={The Journal of Political Economy}, - volume={81}, - number={3}, - pages={637--654}, - year={1973} + author = {F. Black and M. Scholes}, + title = {The Pricing of Options and Corporate Liabilities}, + journal = {The Journal of Political Economy}, + year = {1973}, + volume = {81}, + number = {3}, + pages = {637--654}, + url = {https://doi.org/10.1086/260062} } @article{stoll1969relationship, - title={The relationship between put and call option prices}, - author={Stoll, Hans R}, - journal={The Journal of Finance}, - volume={24}, - number={5}, - pages={801--824}, - year={1969}, - publisher={Wiley Online Library} + author = {H.R. Stoll}, + title = {The relationship between put and call option prices}, + journal = {The Journal of Finance}, + publisher = {Wiley Online Library}, + year = {1969}, + volume = {24}, + number = {5}, + pages = {801--824}, + url = {https://doi.org/10.1111/j.1540-6261.1969.tb01694.x} } @@ -1178,62 +1143,60 @@ eprint = {http://dx.doi.org/10.1137/0917003} % ------------------------------------ @book{Bendse2004, - doi = {10.1007/978-3-662-05086-6}, - url = {https://doi.org/10.1007/978-3-662-05086-6}, - year = {2004}, + author = {M.P. Bends{\o}e and O. Sigmund}, + title = {Topology Optimization}, publisher = {Springer Berlin Heidelberg}, - author = {Martin P. Bends{\o}e and Ole Sigmund}, - title = {Topology Optimization} + year = {2004}, + doi = {10.1007/978-3-662-05086-6}, + url = {https://doi.org/10.1007/978-3-662-05086-6} } @book{Nocedal2006, - doi = {10.1007/978-0-387-40065-5}, - url = {https://doi.org/10.1007/978-0-387-40065-5}, - year = {2006}, + author = {J. Nocedal and S. Wright}, + title = {Numerical Optimization}, publisher = {Springer New York}, - author = {Jorge Nocedal and Stephen Wright}, - title = {Numerical Optimization} + year = {2006}, + doi = {10.1007/978-0-387-40065-5}, + url = {https://doi.org/10.1007/978-0-387-40065-5} } @article{Waechter2005, - doi = {10.1007/s10107-004-0559-y}, - url = {https://doi.org/10.1007/s10107-004-0559-y}, - year = {2005}, - month = apr, + author = {A. W\"{a}chter and L.T. Biegler}, + title = {On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming}, + journal = {Mathematical Programming}, publisher = {Springer Science and Business Media {LLC}}, - volume = {106}, - number = {1}, - pages = {25--57}, - author = {Andreas W\"{a}chter and Lorenz T. Biegler}, - title = {On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming}, - journal = {Mathematical Programming} + year = {2005}, + volume = {106}, + number = {1}, + pages = {25--57}, + doi = {10.1007/s10107-004-0559-y}, + url = {https://doi.org/10.1007/s10107-004-0559-y} } @article{Nocedal2009, - doi = {10.1137/060649513}, - url = {https://doi.org/10.1137/060649513}, - year = {2009}, - month = jan, - publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})}, - volume = {19}, - number = {4}, - pages = {1674--1693}, - author = {Jorge Nocedal and Andreas W\"{a}chter and Richard A. Waltz}, - title = {Adaptive Barrier Update Strategies for Nonlinear Interior Methods}, - journal = {{SIAM} Journal on Optimization} + author = {J. Nocedal and A. W\"{a}chter and R.A. Waltz}, + title = {Adaptive Barrier Update Strategies for Nonlinear Interior Methods}, + journal = {SIAM Journal on Optimization}, + publisher = {Society for Industrial {\&} Applied Mathematics (SIAM)}, + year = {2009}, + volume = {19}, + number = {4}, + pages = {1674--1693}, + doi = {10.1137/060649513}, + url = {https://doi.org/10.1137/060649513} } @article{Benson2002, - doi = {10.1023/a:1020533003783}, - url = {https://doi.org/10.1023/a:1020533003783}, - year = {2002}, + author = {H.Y. Benson and R.J. Vanderbei and D.F. Shanno}, + title = {Interior-Point Methods for Nonconvex Nonlinear Programs: Filter Methods and Merit Functions}, + journal = {Computational Optimization and Applications}, publisher = {Springer Science and Business Media {LLC}}, - volume = {23}, - number = {2}, - pages = {257--272}, - author = {Hande Y. Benson and Robert J. Vanderbei and David F. Shanno}, - journal = {Computational Optimization and Applications}, - title = {Interior-Point Methods for Nonconvex Nonlinear Programs: Filter Methods and Merit Functions} + year = {2002}, + volume = {23}, + number = {2}, + pages = {257--272}, + doi = {10.1023/a:1020533003783}, + url = {https://doi.org/10.1023/a:1020533003783} } @@ -1242,45 +1205,44 @@ eprint = {http://dx.doi.org/10.1137/0917003} % ------------------------------------ @article{KGZB83, - author = {Kelly, D. W. and {De S. R. Gago}, J. P. and Zienkiewicz, O. C. - and Babu\v{s}ka, I.}, - title = {A posteriori error analysis and adaptive processes in the - finite element method: Part {I}--Error Analysis}, - journal = {Int. J. Num. Meth. Engrg.}, + author = {D.W. Kelly and J.P. De S. R. Gago and O.C. Zienkiewicz and I. Babu\v{s}ka}, + title = {A posteriori error analysis and adaptive processes in the finite element method: Part {I}--Error Analysis}, + journal = {International Journal for Numerical Methods in Engineering}, year = {1983}, volume = {19}, - pages = {1593--1619} + pages = {1593--1619}, + url = {https://doi.org/10.1002/nme.1620191103} } @article{park2003p, - title = {P1-nonconforming quadrilateral finite element methods for - second-order elliptic problems}, - author = {Park, Chunjae and Sheen, Dongwoo}, + author = {C. Park and D. Sheen}, + title = {P1-nonconforming quadrilateral finite element methods for second-order elliptic problems}, journal = {SIAM Journal on Numerical Analysis}, + publisher = SIAM, + year = {2003}, volume = {41}, number = {2}, pages = {624--640}, - year = {2003}, - publisher = {SIAM}, - doi = {10.1137/S0036142902404923} + doi = {10.1137/S0036142902404923}, + url = {https://doi.org/10.1137/S0036142902404923} } @article{GLHPW2018, - doi = {10.1029/2018gc007508}, - url = {https://doi.org/10.1029/2018gc007508}, - year = {2018}, - publisher = {American Geophysical Union ({AGU})}, - volume = {19}, - number = {9}, - pages = {3596--3604}, - author = {Rene Gassm\"{o}ller and Harsha Lokavarapu and Eric Heien and Elbridge Gerry Puckett and Wolfgang Bangerth}, - title = {Flexible and Scalable Particle-in-Cell Methods With Adaptive Mesh Refinement for Geodynamic Computations}, - journal = {Geochemistry, Geophysics, Geosystems} -} - -@TechReport{Saad1991, - Title = {{A {F}lexible {I}nner-{O}uter {P}reconditioned {GMRES} {A}lgorithm}}, + author = {R. Gassm\"{o}ller and H. Lokavarapu and E. Heien and E.G. Puckett and W. Bangerth}, + title = {Flexible and Scalable Particle-in-Cell Methods With Adaptive Mesh Refinement for Geodynamic Computations}, + journal = {Geochemistry, Geophysics, Geosystems}, + publisher = {American Geophysical Union (AGU)}, + year = {2018}, + volume = {19}, + number = {9}, + pages = {3596--3604}, + doi = {10.1029/2018gc007508}, + url = {https://doi.org/10.1029/2018gc007508} +} + +@techreport{Saad1991, Author = {Y. Saad}, + Title = {{A Flexible Inner-Outer Preconditioned {GMRES} Algorithm}}, Institution = {Minnesota Supercomputer Institute}, Year = {1991}, Address = {University of Minnesota}, @@ -1289,202 +1251,211 @@ eprint = {http://dx.doi.org/10.1137/0917003} } @article{ainsworth1998hp, - author = {Ainsworth, Mark and Senior, Bill}, - title = {An adaptive refinement strategy for hp-finite element computations}, - journal = {{Applied Numerical Mathematics}}, + author = {M. Ainsworth and B. Senior}, + title = {An adaptive refinement strategy for \textit{hp}-finite element computations}, + journal = {Applied Numerical Mathematics}, + publisher = {Elsevier}, + year = {1998}, volume = {26}, number = {1--2}, pages = {165--178}, - publisher = {Elsevier}, - year = {1998}, - doi = {10.1016/S0168-9274(97)00083-4} + doi = {10.1016/S0168-9274(97)00083-4}, + url = {https://doi.org/10.1016/S0168-9274(97)00083-4} } @article{melenk2001hp, - author = {Melenk, Jens Markus and Wohlmuth, Barbara I.}, - title = {{On residual-based a posteriori error estimation in hp-FEM}}, - journal = {{Advances in Computational Mathematics}}, + author = {J.M. Melenk and B.I. Wohlmuth}, + title = {On residual-based a posteriori error estimation in \textit{hp}-{FEM}}, + journal = {Advances in Computational Mathematics}, + publisher = {Springer US}, + year = {2001}, volume = {15}, number = {1}, pages = {311--331}, - publisher = {Springer US}, - year = {2001}, - doi = {10.1023/A:1014268310921} + doi = {10.1023/A:1014268310921}, + url = {https://doi.org/10.1023/A:1014268310921} } @article{mavriplis1994hp, - author = {Mavriplis, Catherine}, + author = {C. Mavriplis}, title = {Adaptive mesh strategies for the spectral element method}, - journal = {{Computer Methods in Applied Mechanics and Engineering}}, + journal = {Computer Methods in Applied Mechanics and Engineering}, + publisher = {Elsevier}, year = {1994}, volume = {116}, number = {1}, pages = {77--86}, - publisher = {Elsevier}, - doi = {10.1016/S0045-7825(94)80010-3} + url = {https://doi.org/10.1016/S0045-7825(94)80010-3} } @article{houston2005hp, - author = {Houston, Paul and S{\"u}li, Endre}, - title = {A note on the design of hp-adaptive finite element methods for elliptic partial differential equations}, - journal = {{Computer Methods in Applied Mechanics and Engineering}}, - number = {2}, - pages = {229--243}, + author = {P. Houston and E. S{\"u}li}, + title = {A note on the design of \textit{hp}-adaptive finite element methods for elliptic partial differential equations}, + journal = {Computer Methods in Applied Mechanics and Engineering}, publisher = {Elsevier}, - volume = {194}, year = {2005}, - doi = {10.1016/j.cma.2004.04.009} + number = {2}, + volume = {194}, + pages = {229--243}, + doi = {10.1016/j.cma.2004.04.009}, + url = {https://doi.org/10.1016/j.cma.2004.04.009} } @article{eibner2007hp, - author = {Eibner, Tino and Melenk, Jens Markus}, - title = {{An adaptive strategy for hp-FEM based on testing for analyticity}}, - journal = {{Computational Mechanics}}, + author = {T. Eibner and J.M. Melenk}, + title = {An adaptive strategy for \textit{hp}-{FEM} based on testing for analyticity}, + journal = {Computational Mechanics}, + publisher = {Springer}, year = {2007}, volume = {39}, number = {5}, pages = {575--595}, - publisher = {Springer}, - doi = {10.1007/s00466-006-0107-0} + doi = {10.1007/s00466-006-0107-0}, + url = {https://doi.org/10.1007/s00466-006-0107-0} } @article{davydov2017hp, - author = {Davydov, Denis and Gerasimov, Tymofiy and Pelteret, Jean-Paul and Steinmann, Paul}, - title = {{Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics}}, - journal = {{Advanced Modeling and Simulation in Engineering Sciences}}, + author = {D. Davydov and T. Gerasimov and J.-P. Pelteret and P. Steinmann}, + title = {Convergence study of the \textit{h}-adaptive {PUM} and the \textit{hp}-adaptive {FEM} applied to eigenvalue problems in quantum mechanics}, + journal = {Advanced Modeling and Simulation in Engineering Sciences}, year = {2017}, volume = {4}, number = {1}, pages = {7}, - issn = {2213-7467}, - doi = {10.1186/s40323-017-0093-0} +% doi = {10.1186/s40323-017-0093-0}, + url = {https://doi.org/10.1186/s40323-017-0093-0} } -@Article{clevenger_par_gmg, - Title = {A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM}, - Author = {Thomas C. Clevenger and Timo Heister and Guido Kanschat and Martin Kronbichler}, +@article{clevenger_par_gmg, + Author = {T.C. Clevenger and T. Heister and G. Kanschat and M. Kronbichler}, + Title = {A Flexible, Parallel, Adaptive Geometric Multigrid method for {FEM}}, Journal = {submitted}, Year = {2019}, Url = {https://arxiv.org/abs/1904.03317} } - -@Book{CodeComplete, - author = {Steve McConnell}, - title = {Code Complete}, - publisher = {Microsoft Press}, - year = 2004, +@book{CodeComplete, + author = {S. McConnell}, + title = {Code Complete}, + publisher = {Microsoft Press}, + year = 2004, edition = {second} } @article{gottlieb2001strong, - title={Strong stability-preserving high-order time discretization methods}, - author={Gottlieb, Sigal and Shu, Chi-Wang and Tadmor, Eitan}, - journal={SIAM review}, - volume={43}, - number={1}, - pages={89--112}, - year={2001}, - publisher={SIAM} + author = {S. Gottlieb and C.-W. Shu and E. Tadmor}, + title = {Strong stability-preserving high-order time discretization methods}, + journal = {SIAM review}, + publisher = SIAM, + year = {2001}, + volume = {43}, + number = {1}, + pages = {89--112}, + url = {https://doi.org/10.1137/S003614450036757X} } @article{melenk1996, + author = {J.M. Melenk and I. Babu\v{s}ka}, title = {The partition of unity finite element method: Basic theory and applications}, - author = {Melenk, J.M. and Babu\v{s}ka, I.}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {1996}, number = {1--4}, - pages = {289 -- 314}, volume = {139}, - doi = {10.1016/S0045-7825(96)01087-0} + pages = {289--314}, + doi = {10.1016/S0045-7825(96)01087-0}, + url = {https://doi.org/10.1016/S0045-7825(96)01087-0} } @article{babuska1997, + author = {I. Babu\v{s}ka and J.M. Melenk}, title = {The partition of unity method}, - author = {Babu\v{s}ka, I. and Melenk, J. M.}, journal = {International Journal for Numerical Methods in Engineering}, year = {1997}, number = {4}, - pages = {727--758}, volume = {40}, - doi = {10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N} + pages = {727--758}, + doi = {10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N}, + url = {https://doi.org/10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N} } @article{Bartels2004, - doi = {10.1007/s00211-004-0548-3}, - url = {https://doi.org/10.1007/s00211-004-0548-3}, - year = {2004}, - month = sep, + author = {S. Bartels and C. Carstensen and G. Dolzmann}, + title = {Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis}, + journal = {Numerische Mathematik}, publisher = {Springer Science and Business Media {LLC}}, - volume = {99}, - number = {1}, - pages = {1--24}, - author = {S. Bartels and C. Carstensen and G. Dolzmann}, - title = {Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis}, - journal = {Numerische Mathematik} + year = {2004}, + volume = {99}, + number = {1}, + pages = {1--24}, + doi = {10.1007/s00211-004-0548-3}, + url = {https://doi.org/10.1007/s00211-004-0548-3} } @article{fried1975finite, - title={Finite element mass matrix lumping by numerical integration with no convergence rate loss}, - author={Fried, Isaac and Malkus, David S}, - journal={International Journal of Solids and Structures}, - volume={11}, - number={4}, - pages={461--466}, - year={1975}, - publisher={Elsevier} + author = {I. Fried and D.S. Malkus}, + title = {Finite element mass matrix lumping by numerical integration with no convergence rate loss}, + journal = {International Journal of Solids and Structures}, + publisher = {Elsevier}, + year = {1975}, + volume = {11}, + number = {4}, + pages = {461--466}, + url = {https://doi.org/10.1016/0020-7683(75)90081-5} } @article{Geevers_2018, - title={New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling}, - volume={40}, - ISSN={1095-7197}, - url={http://dx.doi.org/10.1137/18M1175549}, - DOI={10.1137/18m1175549}, - number={5}, - journal={SIAM Journal on Scientific Computing}, - publisher={Society for Industrial & Applied Mathematics (SIAM)}, - author={Geevers, S. and Mulder, W. A. and van der Vegt, J. J. W.}, - year={2018}, - month={Jan}, - pages={A2830–A2857} + author = {S. Geevers and W.A. Mulder and J.J.W. van der Vegt}, + title = {New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling}, + journal = {SIAM Journal on Scientific Computing}, + publisher = {Society for Industrial & Applied Mathematics (SIAM)}, + year = {2018}, + number = {5}, + volume = {40}, + pages = {A2830--A2857}, + DOI = {10.1137/18m1175549}, + url = {https://doi.org/10.1137/18m1175549} } @article{witherden2015identification, - title={On the identification of symmetric quadrature rules for finite element methods}, - author={Witherden, Freddie D and Vincent, Peter E}, - journal={Computers \& Mathematics with Applications}, - volume={69}, - number={10}, - pages={1232--1241}, - year={2015}, - publisher={Elsevier} + author = {F.D. Witherden and P.E. Vincent}, + title = {On the identification of symmetric quadrature rules for finite element methods}, + journal = {Computers \& Mathematics with Applications}, + publisher = {Elsevier}, + year = {2015}, + volume = {69}, + number = {10}, + pages = {1232--1241}, + url = {https://doi.org/10.1016/j.camwa.2015.03.017} } @online{quadpy, - author = {Schl{\"o}mer, Nico}, - title = {quadpy: Your one-stop shop for numerical integration in Python}, - year = 2021, - url = {https://github.com/nschloe/quadpy/}, + author = {N. Schl{\"o}mer}, + title = {quadpy: Your one-stop shop for numerical integration in {P}ython}, + year = 2021, + url = {https://github.com/nschloe/quadpy/}, urldate = {2021-02-08} } @Article{AABB17, - author = {R. Agelek and M. Anderson and W. Bangerth and W. L. Barth}, - title = {On orienting edges of unstructured two- and three-dimensional meshes}, - journal = {ACM Transactions on Mathematical Software}, - year = 2017, - volume = 44, - pages = {5/1--22}} + author = {R. Agelek and M. Anderson and W. Bangerth and W.L. Barth}, + title = {On orienting edges of unstructured two- and three-dimensional meshes}, + journal = {ACM Transactions on Mathematical Software}, + year = {2017}, + volume = {44}, + number = {1}, + pages = {5/1--22}, + url = {https://doi.org/10.1145/3061708} +} @article{hoefler2010scalable, - title={Scalable communication protocols for dynamic sparse data exchange}, - author={Hoefler, Torsten and Siebert, Christian and Lumsdaine, Andrew}, - journal={ACM Sigplan Notices}, - volume={45}, - number={5}, - pages={159--168}, - year={2010}, - publisher={ACM New York, NY, USA} + author = {T. Hoefler and C. Siebert and A. Lumsdaine}, + title = {Scalable communication protocols for dynamic sparse data exchange}, + journal = {ACM Sigplan Notices}, + publisher = {ACM New York, NY, USA}, + year = {2010}, + volume = {45}, + number = {5}, + pages = {159--168}, + url = {https://doi.org/10.1145/1837853.1693476} } diff --git a/doc/news/changes/minor/20210622DianeGuignard b/doc/news/changes/minor/20210622DianeGuignard new file mode 100644 index 0000000000..2740ace196 --- /dev/null +++ b/doc/news/changes/minor/20210622DianeGuignard @@ -0,0 +1,7 @@ +Improved: i) Standarized the format of the references in the file + doc/doxygen/references.bib using in particular the convention + "M. Mo" or "R.B. Kellogg" for names and the full name for journals. + ii) Fixed the display of some titles (e.g., upper case for proper noun). + iii) Added an URL entry for the references with a DOI. +
+(Diane Guignard, 2021/06/22) -- 2.39.5