diff --git a/skript-mehrgitter-sander.bib b/skript-mehrgitter-sander.bib index 7e541f8ee1e35cb324ac885d2944fa43265ecf0c..11931ab6b5eae40db46f2ca9c7c94ee67aab4d50 100644 --- a/skript-mehrgitter-sander.bib +++ b/skript-mehrgitter-sander.bib @@ -5,160 +5,3 @@ publisher = {Springer Verlag}, note = {(English translation available)}, year = {2013} } - -@Book{dahmen_reusken:2008, - title = {Numerik für Ingenieure und Naturwissenschaftler}, - publisher = {Springer}, - year = {2008}, - author = {Wolfgang Dahmen and Arnold Reusken} -} - -@Book{hackbusch:1994, - title = {Iterative Solution of Large Sparse Systems of Equations}, - publisher = {Springer}, - year = {1994}, - author = {Wolfgang Hackbusch} -} - -@Book{ern_guermond:2004, - title = {Theory and Practice of Finite Elements}, - publisher = {Springer}, - year = {2004}, - author = {Alexandre Ern and Jean-Luc Guermond} -} - -@book{werner:2011, - title = {Funktionalanalysis}, - publisher = {Springer}, - year = {2011}, - author = {Dirk Werner}, - edition = {7.\ Auflage} -} - -@book{yosida:1980, - title = {Functional Analysis}, - publisher = {Springer}, - year = {1980}, - author = {K\bar{o}saku Yosida}, - edition = {6.\ Auflage} -} - -@article{bastian_et_al_I:2008, - author = {P. 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Sander}, - title = {A Generic Interface for Parallel and Adaptive Scientific Computing. {Part~I}: Abstract Framework}, - journal = {Computing}, - year = {2008}, - volume = {82}, - number = {2-3}, - pages = {103--119} -} - -@TechReport{verfuerth:2019, - author = {Rüdiger Verfürth}, - title = {Finite Element Methoden für Navier-Stokes Gleichungen}, - institution = {Fakultät für Mathematik, Ruhr-Universität Bochum}, - year = {2019}, - type = {Vorlesungsskriptum}, -} - -@Article{verfuerth:1984, - author = {Rüdiger Verfürth}, - title = {Error estimates for a mixed finite element approximation of the {S}tokes equations}, - journal = {RAIRO -- Analyse numérique}, - year = {1984}, - volume = {18}, - number = {2}, - pages = {175--182} -} - -@Article{bercovier_pironneau:1979, - author = {Michel Bercovier and Olivier Pironneau}, - title = {Error Estimates for Finite Element Method Solution of the {S}tokes Problem in the Primitive Variables}, - journal = {Numer. 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Siebert and Andreas Veeser}, - title = {Theory of adaptive finite element methods: {A}n introduction}, - booktitle = {Multiscale, Nonlinear and Adaptive Approximation}, - pages = {409--542}, - publisher = {Springer}, - year = {2009}, - editor = {Ronald DeVore and Angela Kunoth}, - doi = {10.1007/978-3-642-03413-8_12}, -} - -@Book{deuflhard_weiser:2020, - title = {Numerische Mathematik 3 --- Adaptive Lösung partieller Differentialgleichungen}, - publisher = {De Gruyter}, - year = {2020}, - author = {Peter Deuflhard and Martin Weiser}, - OPTdoi = {10.1515/9783110689655}, -} - -@InCollection{bank_sherman_weiser:1983, - author = {Randolph E. Bank and Andrew H. Sherman and Alan Weiser}, - title = {Some Refinement Algorithms and Data Structures for Regular Local Mesh Refinement}, - booktitle = {Scientific Computing. Applications of Mathematics and Computing to the Physical Sciences}, - pages = {3--17}, - publisher = {North-Holland}, - year = {1983}, - editor = {R.S. Stepleman} -} - -@Article{freudenthal:1942, - author = {Hans Freudenthal}, - title = {Simplizialzerlegungen von beschr\"ankter {F}lachheit}, - journal = {Ann. Math.}, - year = {1942}, - volume = {43}, - number = {3}, - pages = {580--582} -} - -@Article{bey:1995, - author = {J\"urgen Bey}, - title = {Tetrahedral Grid Refinement}, - journal = {Computing}, - year = {1995}, - volume = {55}, - number = {4}, - pages = {355--378} -} - -@inproceedings{fvca6_bench:2011, - author = {Eymard, R. and Henry, G. and Herbin, R. and Hubert, F. and Kl{\"o}fkorn, R. and Manzini, G.}, - affiliation = {Université Paris-Est, Paris, France}, - title = {{3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids}}, - booktitle = {Finite Volumes for Complex Applications VI Problems \& Perspectives}, - series = {Springer Proceedings in Mathematics}, - editor = {Fort, J. and F{\"u}rst, J. and Halama, J. and Herbin, R. and Hubert, F.}, - publisher = {Springer}, - pages = {895--930}, - volume = {4}, - doi = {10.1007/978-3-642-20671-9_89}, - year = {2011} -} diff --git a/skript-mehrgitter-sander.tex b/skript-mehrgitter-sander.tex index fcd36e4cfc38daf9e817eb8b523e2c856f96c8df..b9048f01895983a6822721983263bd0b86e086b0 100644 --- a/skript-mehrgitter-sander.tex +++ b/skript-mehrgitter-sander.tex @@ -1,12 +1,12 @@ % The following line selects the page layout for printing -%\documentclass{scrbook} +\documentclass{scrbook} % The following lines select a page layout without vertical margins, % and a very large right margin. This is much better for online teaching. -\documentclass[paper=310mm:297mm]{scrbook} -\KOMAoptions{twoside=false} - -\usepackage[width=12cm, left=3cm, top=0.2cm, bottom=0.5cm]{geometry} +% \documentclass[paper=310mm:297mm]{scrbook} +% \KOMAoptions{twoside=false} +% +% \usepackage[width=12cm, left=3cm, top=0.2cm, bottom=0.5cm]{geometry} \usepackage[utf8]{inputenc} @@ -19,8 +19,8 @@ \usepackage{amsfonts} \usepackage{lmodern} -\usepackage{color} \usepackage[ngerman]{babel} +\usepackage{csquotes} \usepackage{amsmath} \usepackage{amssymb} \usepackage{amsthm} @@ -51,7 +51,6 @@ \renewcommand{\div}{\operatorname{div}} \newcommand{\tr}{\operatorname{tr}} \DeclareMathOperator*{\argmin}{arg\,min} -\newcommand{\CR}{\text{CR}} % The Crouzeix-Raviart finite element space % Bold letters \newcommand{\bn}{\mathbf{n}} @@ -86,7 +85,7 @@ \vspace*{0.3\textheight} -{\Huge Numerik partieller Differentialgleichungen} +{\Huge Mehrgitterverfahren} \vspace*{0.05\textheight} {\Large Oliver Sander}