Commit cd417a8e authored by Sander, Oliver's avatar Sander, Oliver
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Präambel aufräumen, unbenutzte Literatur entfernen

parent 85d165df
......@@ -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}
}
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......@@ -19,8 +19,8 @@
\usepackage{amsfonts}
\usepackage{lmodern}
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\usepackage{amsmath}
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......@@ -51,7 +51,6 @@
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\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}
......
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