From: Adam Lee Date: Mon, 5 Aug 2019 15:23:56 +0000 (-0600) Subject: Bibtex references for steps-1,6,18 X-Git-Tag: v9.2.0-rc1~1312^2~2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=d39ef59c0d3d7ddc3fae0f47048a72057315e317;p=dealii.git Bibtex references for steps-1,6,18 --- diff --git a/doc/doxygen/references.bib b/doc/doxygen/references.bib index da2d3086ea..de548a5431 100644 --- a/doc/doxygen/references.bib +++ b/doc/doxygen/references.bib @@ -1,3 +1,35 @@ +%------------------------------------------------------------------------------- +% Step 1 +%------------------------------------------------------------------------------- + +@article{Mu05, + author = {Mo Mu}, + title = {{PDE.M}art: A Network-based Problem-solving Environment for {PDE}s}, + journal = {ACM Trans. Math. Software.}, + year = 2005, + volume = 31, + number = 4, + pages = {508--531} +} + +%------------------------------------------------------------------------------- +% Step 6 +%------------------------------------------------------------------------------- + +@article{Kel74, + author = {R. Bruce Kellogg}, + title = {On the {P}oisson equation with intersecting interfaces}, + journal = {Applicable Analysis}, + year = 1974, + volume = 4, + number = 2, + pages = {101--129} +} + +%------------------------------------------------------------------------------- +% Step 14 +%------------------------------------------------------------------------------- + @inproceedings{Ban00w, author = {Wolfgang Bangerth}, title = {Mesh Adaptivity and Error Control for a Finite Element @@ -5,11 +37,11 @@ booktitle = {Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves2000), Santiago de Compostela, Spain, 2000}, - pages = {725--729}, year = 2000, editor = {Alfredo Berm\'udez and Dolores G\'omez and Christophe Hazard and Patrick Joly and Jean E. Roberts}, - publisher = {SIAM} + publisher = {SIAM}, + pages = {725--729} } @phdthesis{Ban02, @@ -184,3 +216,17 @@ type = {Dissertation}, year = 1996 } + +%------------------------------------------------------------------------------- +% Step 18 +%------------------------------------------------------------------------------- + +@article{CTZ04, + author = {Stéphane Commend and Andrzej Truty and Thomas Zimmermann}, + title = {Stabilized finite elements applied to elastoplasticity: I. Mixed displacement–pressure formulation}, + journal = {Computer Methods in Applied Mechanics and Engineering}, + year = 2004, + volume = 193, + number = 33, + pages = {3559--3586} +} diff --git a/examples/step-1/doc/results.dox b/examples/step-1/doc/results.dox index c2ce47ff7b..518493175c 100644 --- a/examples/step-1/doc/results.dox +++ b/examples/step-1/doc/results.dox @@ -28,9 +28,7 @@ refined the same number of times. (While the second mesh is entirely artificial and made-up, and certainly not very practical in applications, to everyone's surprise it -has found its way into the literature: see the paper by M. Mu -titled "PDE.MART: A network-based problem-solving environment", ACM -Trans. Math. Software, vol. 31, pp. 508-531, 2005. Apparently it is +has found its way into the literature: see @cite Mu05. Apparently it is good for some things at least.) diff --git a/examples/step-18/doc/results.dox b/examples/step-18/doc/results.dox index f1dcee42a8..5aa35ffe48 100644 --- a/examples/step-18/doc/results.dox +++ b/examples/step-18/doc/results.dox @@ -441,11 +441,7 @@ Without going into further details of this model, we refer to the excellent book by Simo and Hughes on “Computational Inelasticity” for a comprehensive overview of computational strategies for solving plastic models. Alternatively, a brief but concise description of an algorithm for -plasticity is given in an article by S. Commend, A. Truty, and Th. Zimmermann, -titled “Stabilized finite elements applied to -elastoplasticity: I. Mixed displacement-pressure formulation” -(Computer Methods in Applied Mechanics and Engineering, vol. 193, -pp. 3559-3586, 2004). +plasticity is given in @cite CTZ04.
Stabilization issues
diff --git a/examples/step-6/doc/results.dox b/examples/step-6/doc/results.dox index 9d4f1b3274..74716c1d51 100644 --- a/examples/step-6/doc/results.dox +++ b/examples/step-6/doc/results.dox @@ -504,14 +504,13 @@ methods because the mesh will have to resolve the singularity that causes the solution to not be in $W^{1,\infty}$ any more. The typical example one uses for this is called the Kellogg problem -(referring to the paper "On the Poisson equation with intersecting interfaces" -by R. B. Kellogg, Applicable Analysis, vol. 4, pp. 101-129, 1974), which -in the commonly used form has a coefficient $a(\mathbf x)$ that has different values -in the four quadrants of the plane (or eight different values in the octants -of ${\mathbb R}^3$). The exact degree of regularity (the $s$ in the -index of the Sobolev space above) depends on the values of $a(\mathbf x)$ coming -together at the origin, and by choosing the jumps large enough, the -regularity of the solution can be made as close as desired to $H^1$. +(referring to @cite Kel74), which in the commonly used form has a coefficient +$a(\mathbf x)$ that has different values in the four quadrants of the plane +(or eight different values in the octants of ${\mathbb R}^3$). The exact degree +of regularity (the $s$ in the index of the Sobolev space above) depends on the +values of $a(\mathbf x)$ coming together at the origin, and by choosing the +jumps large enough, the regularity of the solution can be made as close as +desired to $H^1$. To implement something like this, one could replace the coefficient function by the following (shown here only for the 2d case):