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PDELab
dune-pdelab-tutorials
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b1fcaed4
Commit
b1fcaed4
authored
9 years ago
by
Peter Bastian
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abstractions paper
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TUTORIALLIST
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TUTORIALLIST
overview/abstractions.bib
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This is what you get:
00: Poisson equation, P1 conforming FE on simplicial meshes
01: Nonlinear Poisson equation with conforming FE, various orders, simplicial and quad meshes
02: Nonlinear Poisson equation solved with cell-centered FV method
03: Instationary nonlinear Poisson equation based on tutorial 01
04: Wave equation solved as a system of two equations
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overview/abstractions.bib
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@Article
{
shu:88
,
author
=
{{C. W.} Shu}
,
title
=
{Total-variation-diminishing time discretizations}
,
journal
=
{SIAM J. Sci. Stat. Comput.}
,
year
=
{1988}
,
volume
=
{9}
,
pages
=
{1073}
,
}
@Book
{
Eriksson
,
author
=
{K. Eriksson and D. Estep and P. Hansbo and C. Johnson}
,
title
=
{Computational Differential Equations}
,
publisher
=
{Cambridge University Press}
,
note
=
{{\small\url{http://www.csc.kth.se/~jjan/private/cde.pdf}} }
,
year
=
{1996}
,
}
@Book
{
LeVeque
,
author
=
{{R. J.} Leveque}
,
title
=
{Finite Volume Methods for Hyperbolic Problems}
,
publisher
=
{Cambridge University Press}
,
year
=
{2002}
,
}
@Article
{
alexander:77
,
title
=
{Diagonally Implicit {R}unge-{K}utta Methods for Stiff {O. D. E.'s}}
,
author
=
{R. Alexander}
,
journal
=
{SIAM Journal on Numerical Analysis}
,
year
=
{1977}
,
volume
=
{14}
,
number
=
{6}
,
pages
=
{1006--1021}
}
@Book
{
Ern
,
author
=
{A. Ern and {J.-L.} Guermond}
,
title
=
{Theory and practice of finite element methods}
,
publisher
=
{Springer}
,
year
=
{2004}
,
}
@Book
{
Elman2005
,
author
=
{H.~Elman and D.~Silvester and A.~Wathen}
,
title
=
{Finite Elements and Fast Iterative Solvers}
,
publisher
=
{Oxford University Press}
,
year
=
{2005}
,
}
@Book
{
BrennerScott
,
author
=
{{S. C.} Brenner and {L. R.} Scott}
,
title
=
{The Mathematical Theory of Finite Element Methods}
,
publisher
=
{Springer}
,
year
=
{1994}
,
OPTkey
=
{}
,
OPTvolume
=
{}
,
OPTnumber
=
{}
,
OPTseries
=
{}
,
OPTaddress
=
{}
,
OPTedition
=
{}
,
OPTmonth
=
{}
,
OPTnote
=
{}
,
OPTannote
=
{}
}
@Book
{
TosWid05
,
author
=
{A. Toselli and O. Widlund}
,
title
=
{Domain Decomposition Methods -- {A}lgorithms and Theory}
,
address
=
{Berlin Heidelberg}
,
publisher
=
{Springer}
,
year
=
2005
,
}
@article
{
Xu:1992:IMS:146428.146431
,
author
=
{Xu, Jinchao}
,
title
=
{Iterative Methods by Space Decomposition and Subspace Correction}
,
journal
=
{SIAM Rev.}
,
issue_date
=
{Dec., 1992}
,
volume
=
{34}
,
number
=
{4}
,
month
=
dec
,
year
=
{1992}
,
issn
=
{0036-1445}
,
pages
=
{581--613}
,
numpages
=
{33}
,
url
=
{http://dx.doi.org/10.1137/1034116}
,
doi
=
{10.1137/1034116}
,
acmid
=
{146431}
,
publisher
=
{Society for Industrial and Applied Mathematics}
,
address
=
{Philadelphia, PA, USA}
,
}
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overview/abstractions.tex
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b1fcaed4
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