Präambel aufräumen, unbenutzte Literatur entfernen

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. Bastian and M. Blatt and A. Dedner and C. Engwer and R. Kl\"ofkorn and M. Ohlberger and O. 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. Math.},
- year = {1979},
- volume = {33},
- pages = {211--224}
-}
-
-@Article{rivara:1984,
- author = {M. Cecilia Rivara},
- title = {Mesh Refinement Processes Based on the Generalized Bisection of Simplices},
- journal = {SIAM J. Numer. Anal.},
- year = {1984},
- volume = {21},
- number = {3},
- pages = {604--613}
-}
-
-@Article{doerfler:1996,
- author = {Willy D\"orfler},
- title = {A Convergent Adaptive Algorithm for {P}oisson's Equation},
- journal = {SIAM J. Numer. Anal.},
- year = {1996},
- volume = {33},
- number = {3},
- pages = {1106--1124},
-}
-
-@InCollection{nochetto_siebert_veeser:2009,
- author = {Ricardo H. Nochetto and Kunibert G. 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}
-}

skript-mehrgitter-sander.tex

 % 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}