url = {https://doi.org/10.1145/1114268.1114272}
}
+
%-------------------------------------------------------------------------------
% Step 6
%-------------------------------------------------------------------------------
url = {https://doi.org/10.1080/00036817408839086}
}
+
%-------------------------------------------------------------------------------
% Step 7
%-------------------------------------------------------------------------------
doi = {10.1137/16M110455X}
}
+
%-------------------------------------------------------------------------------
% Step 10
%-------------------------------------------------------------------------------
url = {https://doi.org/10.1007/978-3-642-33134-3_34}
}
+
%-------------------------------------------------------------------------------
% Step 14
%-------------------------------------------------------------------------------
% Step 15
%-------------------------------------------------------------------------------
-
@book{GNS08,
author = {I. Griva and S.G. Nash and A. Sofer},
title = {Linear and nonlinear optimization},
}
-
%-------------------------------------------------------------------------------
% Step 18
%-------------------------------------------------------------------------------
@article{CTZ04,
author = {S. Commend and A. Truty and T. Zimmermann},
- title = {Stabilized finite elements applied to elastoplasticity: I. {M}ixed displacement–pressure formulation},
+ 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},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 22
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{SW94,
author = {D. Silvester and A. Wathen},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 27
-% ------------------------------------
+%-------------------------------------------------------------------------------
@phdthesis{fehling2020,
author = {M. Fehling},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 43
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{Chueh2010,
doi = {10.1016/j.compfluid.2010.05.011},
journal = {Computers {\&} Fluids}
}
-
@Article{KHB12,
- author = {M. Kronbichler and T. Heister and W. Bangerth},
- title = {High Accuracy Mantle Convection Simulation through Modern Numerical Methods},
- journal = {Geophysical Journal International},
- year = {2012},
- volume = {191},
- pages = {12--29}
+ author = {M. Kronbichler and T. Heister and W. Bangerth},
+ title = {High Accuracy Mantle Convection Simulation through Modern Numerical Methods},
+ journal = {Geophysical Journal International},
+ year = {2012},
+ volume = {191},
+ pages = {12--29}
}
-
@article{Chueh2013,
doi = {10.1137/120866208},
url = {https://doi.org/10.1137/120866208},
journal = {{SIAM} Journal on Scientific Computing}
}
-
@Book{BrezziFortin,
author = {F. Brezzi and M. Fortin},
title = {Mixed and Hybrid Finite Element Methods},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 47
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{Brenner2005,
author = {S.C. Brenner and L.-Y. Sung},
url = {https://doi.org/10.1007/s10915-004-4135-7}
}
-
@incollection{Brenner2011,
author = {S.C. Brenner},
title = {C$^0$ Interior Penalty Methods},
url = {https://doi.org/10.1016/j.cma.2007.03.008}
}
-% ------------------------------------
+
+%-------------------------------------------------------------------------------
% Step 50
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{karakashian2003posteriori,
author = {O.A. Karakashian and F. Pascal},
url = {https://doi.org/10.1137/S0036142902405217}
}
-% ------------------------------------
+
+%-------------------------------------------------------------------------------
% Step 51
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article {Ngu2012,
AUTHOR = {N.C. Nguyen and J. Peraire},
URL = {https://doi.org/10.1137/070706616}
}
-% ------------------------------------
+
+%-------------------------------------------------------------------------------
% Step 55
-% ------------------------------------
+%-------------------------------------------------------------------------------
@book{elman2005,
Author = {H.C. Elman and D.J. Silvester and A.J. Wathen},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 57
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{Benzi2006,
author = { Benzi, Michele and Olshanskii, Maxim A. },
url = {http://doi.org/10.1002/fld.3654},
}
-
@article{Ghia1982,
author = { Ghia, U and Ghia, K.N and Shin, C.T },
title = { High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method },
}
-
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 58
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{Fraysse2005,
author = { Frayss\'e, Val\'erie and Giraud, Luc and Gratton, Serge and Langou, Julien },
url = {http://doi.org/10.1145/1067967.1067970},
}
-
@article{Day2001,
author = { Day, David and Heroux, Michael A. },
title = { Solving Complex-Valued Linear Systems via Equivalent Real Formulations },
@article{Liao2016,
author = { Liao, Li-Dan and Zhang, Guo-Feng },
title = { Preconditioning of complex linear systems from the Helmholtz equation },
- journal = { Computers \& Mathematics with Applications },
+ journal = { Computers \& Mathematics with Applications },
year = { 2016 },
volume = { 72 },
issue = { 9 },
url = {http://doi.org/10.1016/j.camwa.2016.09.004},
}
-% ------------------------------------
+
+%-------------------------------------------------------------------------------
% Step 59
-% ------------------------------------
+%-------------------------------------------------------------------------------
+
@article{Lynch1964,
-author = {Lynch, Robert E. and Rice, John R. and Thomas, Donald H.},
-title = {Direct Solution of Partial Difference Equations by Tensor Product Methods},
-year = {1964},
-issue_date = {December 1964},
-publisher = {Springer-Verlag},
-address = {Berlin, Heidelberg},
-volume = {6},
-number = {1},
-issn = {0029-599X},
-url = {https://doi.org/10.1007/BF01386067},
-doi = {10.1007/BF01386067},
-journal = {Numer. Math.},
-month = {dec},
-pages = {185–199},
-numpages = {15}
-}
-% ------------------------------------
+ author = {Lynch, Robert E. and Rice, John R. and Thomas, Donald H.},
+ title = {Direct Solution of Partial Difference Equations by Tensor Product Methods},
+ year = {1964},
+ issue_date = {December 1964},
+ publisher = {Springer-Verlag},
+ address = {Berlin, Heidelberg},
+ volume = {6},
+ number = {1},
+ issn = {0029-599X},
+ url = {https://doi.org/10.1007/BF01386067},
+ doi = {10.1007/BF01386067},
+ journal = {Numer. Math.},
+ month = {dec},
+ pages = {185--199},
+ numpages = {15}
+}
+
+
+%-------------------------------------------------------------------------------
% Step 61
-% ------------------------------------
+%-------------------------------------------------------------------------------
@incollection{Wang2019,
author = {Z. Wang and G. Harper and P. O'Leary and J. Liu and S. Tavener},
url = {https://doi.org/10.1007/978-3-030-22747-0_37}
}
-% ------------------------------------
+
+%-------------------------------------------------------------------------------
% Step 63
-% ------------------------------------
+%-------------------------------------------------------------------------------
@incollection{john2006discontinuity,
author = {V. John and P. Knobloch},
url = {https://doi.org/10.1007/b137868}
}
-% ------------------------------------
+
+%-------------------------------------------------------------------------------
% Step 66
-% ------------------------------------
+%-------------------------------------------------------------------------------
@book{bebernes1989mathematical,
author = {J. Bebernes and D. Eberly},
url = {https://doi.org/10.5445/IR/1000141249}
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 67
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{KennedyCarpenterLewis2000,
author = {C.A. Kennedy and M.H. Carpenter and R.M. Lewis},
url = {https://doi.org/10.1137/120890144}
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 68
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{Blais2013,
author = {B. Blais and J.-P. Braeunig and D. Chauveheid and J.-M. Ghidaglia and R. Loub{\`e}re},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 69
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article {GuermondPopov2016,
AUTHOR = {J.-L. Guermond and B. Popov},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 70
-% ------------------------------------
-
+%-------------------------------------------------------------------------------
@inproceedings{Freund1995,
author = {J. Freund and R. Stenberg},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 71
-% ------------------------------------
-
+%-------------------------------------------------------------------------------
@book{Pelteret2019a,
author = {J.-P. Pelteret and P. Steinmann},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 74
-% ------------------------------------
+%-------------------------------------------------------------------------------
@book{di2011mathematical,
author = {D.A. Di Pietro and A. Ern},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 75
-% ------------------------------------
+%-------------------------------------------------------------------------------
@book{brenner2008,
author = {S. Brenner and R. Scott},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 76
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{munch2020hyperdeal,
doi = {10.1145/3469720},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 77
-% ------------------------------------
-
+%-------------------------------------------------------------------------------
@article{eiwa96,
author = {C.E. Stanley and F.W. Homer},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 78
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{black1973pricing,
author = {F. Black and M. Scholes},
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 79
-% ------------------------------------
+%-------------------------------------------------------------------------------
@book{Bendse2004,
author = {M.P. Bends{\o}e and O. Sigmund},
url = {https://doi.org/10.1023/a:1020533003783}
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 81
-% ------------------------------------
+%-------------------------------------------------------------------------------
@BOOK{Schwartz1972,
AUTHOR={M. Schwartz},
@ARTICLE{berenger1994,
AUTHOR={Jean-Pierre Bérenger},
- TITLE={A Perfectly Matched Layer for the Absorption of Electromagnetic
- Waves},
+ TITLE={A Perfectly Matched Layer for the Absorption of Electromagnetic Waves},
JOURNAL={Journal of Computational Physics},
VOLUME={114},
PAGES={185-200},
@ARTICLE{Gopalakrishnan2003,
AUTHOR={J. Gopalakrishnan and Pasciak, J. E.},
- TITLE={Overlapping Schwarz preconditioners for indefinite time harmonic
- {M}axwell equations},
+ TITLE={Overlapping Schwarz preconditioners for indefinite time harmonic {M}axwell equations},
JOURNAL={Math. Comput.},
VOLUME={72},
PAGES={1-15},
}
@ARTICLE{Maier2017,
- author = {M. Maier and D. Margetis and M. Luskin},
- journal = {Journal of Computational Physics},
- pages = {126--145},
- title = {Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation},
- volume = {339},
- year = {2017}
+ author = {M. Maier and D. Margetis and M. Luskin},
+ journal = {Journal of Computational Physics},
+ pages = {126--145},
+ title = {Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation},
+ volume = {339},
+ year = {2017}
}
@ARTICLE{Ying2012,
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 82
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{Pryer2014,
- author = {T. Pryer},
- title = {Discontinuous {G}alerkin methods for the p-biharmonic equation from a discrete variational perspective},
- journal = {Electronic Transactions of Numerical Analysis},
- volume = {41},
- pages = {328--349},
- year = {2014}
+ author = {T. Pryer},
+ title = {Discontinuous {G}alerkin methods for the p-biharmonic equation from a discrete variational perspective},
+ journal = {Electronic Transactions of Numerical Analysis},
+ volume = {41},
+ pages = {328--349},
+ year = {2014}
}
@article{Bonito2021,
journal = {{IMA} Journal of Numerical Analysis}
}
-% ------------------------------------
+%-------------------------------------------------------------------------------
% Step 85
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{saye_2015,
- title = {High-{Order} {Quadrature} {Methods} for {Implicitly} {Defined} {Surfaces} and {Volumes} in {Hyperrectangles}},
- volume = {37},
- issn = {1064-8275, 1095-7197},
- url = {http://epubs.siam.org/doi/10.1137/140966290},
- doi = {10.1137/140966290},
- language = {en},
- number = {2},
- urldate = {2016-01-27},
- journal = {SIAM Journal on Scientific Computing},
- author = {Saye, R. I.},
- month = jan,
- year = {2015},
- pages = {A993--A1019}
+ title = {High-{Order} {Quadrature} {Methods} for {Implicitly} {Defined} {Surfaces} and {Volumes} in {Hyperrectangles}},
+ volume = {37},
+ issn = {1064-8275, 1095-7197},
+ url = {http://epubs.siam.org/doi/10.1137/140966290},
+ doi = {10.1137/140966290},
+ language = {en},
+ number = {2},
+ urldate = {2016-01-27},
+ journal = {SIAM Journal on Scientific Computing},
+ author = {Saye, R. I.},
+ month = jan,
+ year = {2015},
+ pages = {A993--A1019}
}
@article{burman_hansbo_2012,
- title = {Fictitious domain finite element methods using cut elements: {II}. {A} stabilized {Nitsche} method},
- volume = {62},
- issn = {01689274},
- url = {http://linkinghub.elsevier.com/retrieve/pii/S0168927411000298},
- doi = {10.1016/j.apnum.2011.01.008},
- language = {en},
- number = {4},
- urldate = {2015-12-17},
- journal = {Applied Numerical Mathematics},
- author = {Burman, Erik and Hansbo, Peter},
- month = apr,
- year = {2012},
- pages = {328--341}
+ title = {Fictitious domain finite element methods using cut elements: {II}. {A} stabilized {Nitsche} method},
+ volume = {62},
+ issn = {01689274},
+ url = {http://linkinghub.elsevier.com/retrieve/pii/S0168927411000298},
+ doi = {10.1016/j.apnum.2011.01.008},
+ language = {en},
+ number = {4},
+ urldate = {2015-12-17},
+ journal = {Applied Numerical Mathematics},
+ author = {Burman, Erik and Hansbo, Peter},
+ month = apr,
+ year = {2012},
+ pages = {328--341}
}
@article{cutfem_2015,
- title = {{CutFEM}: {Discretizing} geometry and partial differential equations},
- volume = {104},
- issn = {00295981},
- url = {http://doi.wiley.com/10.1002/nme.4823},
- doi = {10.1002/nme.4823},
- language = {en},
- number = {7},
- urldate = {2016-01-27},
- journal = {International Journal for Numerical Methods in Engineering},
- author = {Burman, Erik and Claus, Susanne and Hansbo, Peter and Larson, Mats G. and Massing, André},
- month = nov,
- year = {2015},
- pages = {472--501}
-}
-
-
-% ------------------------------------
+ title = {{CutFEM}: {Discretizing} geometry and partial differential equations},
+ volume = {104},
+ issn = {00295981},
+ url = {http://doi.wiley.com/10.1002/nme.4823},
+ doi = {10.1002/nme.4823},
+ language = {en},
+ number = {7},
+ urldate = {2016-01-27},
+ journal = {International Journal for Numerical Methods in Engineering},
+ author = {Burman, Erik and Claus, Susanne and Hansbo, Peter and Larson, Mats G. and Massing, André},
+ month = nov,
+ year = {2015},
+ pages = {472--501}
+}
+
+
+%-------------------------------------------------------------------------------
% References used elsewhere
-% ------------------------------------
+%-------------------------------------------------------------------------------
@article{KGZB83,
author = {D.W. Kelly and J.P. De S. R. Gago and O.C. Zienkiewicz and I. Babu\v{s}ka},
}
@article{park2003p,
- 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},
- doi = {10.1137/S0036142902404923},
- url = {https://doi.org/10.1137/S0036142902404923}
+ 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},
+ doi = {10.1137/S0036142902404923},
+ url = {https://doi.org/10.1137/S0036142902404923}
}
@article{GLHPW2018,
}
@article{Comellas_2023,
- doi = {10.1016/j.euromechsol.2022.104845},
- url = {https://doi.org/10.1016/j.euromechsol.2022.104845},
- year = 2023,
- month = {jan},
- publisher = {Elsevier {BV}},
- volume = {97},
- pages = {104845},
- author = {E. Comellas and J.-P. Pelteret and W. Bangerth},
- title = {I'm stuck! How to efficiently debug computational solid mechanics models so you can enjoy the beauty of simulations},
- journal = {European Journal of Mechanics - A/Solids}
+ doi = {10.1016/j.euromechsol.2022.104845},
+ url = {https://doi.org/10.1016/j.euromechsol.2022.104845},
+ year = 2023,
+ month = {jan},
+ publisher = {Elsevier {BV}},
+ volume = {97},
+ pages = {104845},
+ author = {E. Comellas and J.-P. Pelteret and W. Bangerth},
+ title = {I'm stuck! How to efficiently debug computational solid mechanics models so you can enjoy the beauty of simulations},
+ journal = {European Journal of Mechanics - A/Solids}
}
-
@article{gottlieb2001strong,
author = {S. Gottlieb and C.-W. Shu and E. Tadmor},
title = {Strong stability-preserving high-order time discretization methods},
}
@article{Taylor73,
-title={{A numerical solution of the Navier-Stokes equations using the finite element technique}},
-author={C. Taylor and P. Hood},
-journal={Comput. Fluids},
-volume={1},
-number={1},
-pages={73--100},
-year={1973},
-doi = {10.1016/0045-7930(73)90027-3},
-url = {https://doi.org/10.1016/0045-7930(73)90027-3}
+ title={{A numerical solution of the Navier-Stokes equations using the finite element technique}},
+ author={C. Taylor and P. Hood},
+ journal={Comput. Fluids},
+ volume={1},
+ number={1},
+ pages={73--100},
+ year={1973},
+ doi = {10.1016/0045-7930(73)90027-3},
+ url = {https://doi.org/10.1016/0045-7930(73)90027-3}
}
@article{Bercovier1979,
@InProceedings{munch2022hn,
author = {Peter Munch and Karl Ljungkvist and Martin Kronbichler},
- title = {Efficient Application of~Hanging-Node Constraints for~Matrix-Free High-Order {FEM} Computations on~{CPU} and~{GPU}},
+ title = {Efficient Application of Hanging-Node Constraints for Matrix-Free High-Order {FEM} Computations on {CPU} and {GPU}},
booktitle = {Lecture Notes in Computer Science},
year = {2022},
publisher = {Springer International Publishing},
}
@article{zhang2022petscsf,
-author = {J. Zhang and J. Brown and S. Balay and J. Faibussowitsch and M. Knepley and O. Marin and R. Mills and T. Munson and B. F. Smith and S. Zampini},
-journal = {IEEE Transactions on Parallel and Distributed Systems},
-title = {The {PetscSF} Scalable Communication Layer},
-year = {2022},
-volume = {33},
-number = {04},
-issn = {1558-2183},
-pages = {842-853},
-keywords = {libraries;programming;graphics processing units;forestry;electronics packaging;arrays;scalability},
-doi = {10.1109/TPDS.2021.3084070},
-publisher = {IEEE Computer Society},
-address = {Los Alamitos, CA, USA},
-month = {apr}
+ author = {J. Zhang and J. Brown and S. Balay and J. Faibussowitsch and M. Knepley and O. Marin and R. Mills and T. Munson and B. F. Smith and S. Zampini},
+ journal = {IEEE Transactions on Parallel and Distributed Systems},
+ title = {The {PetscSF} Scalable Communication Layer},
+ year = {2022},
+ volume = {33},
+ number = {04},
+ issn = {1558-2183},
+ pages = {842-853},
+ keywords = {libraries;programming;graphics processing units;forestry;electronics packaging;arrays;scalability},
+ doi = {10.1109/TPDS.2021.3084070},
+ publisher = {IEEE Computer Society},
+ address = {Los Alamitos, CA, USA},
+ month = {apr}
}
@article{zampini2016pcbddc,
projects / dealii.git / commitdiff