Skip to content
Snippets Groups Projects
Commit b1fcaed4 authored by Peter Bastian's avatar Peter Bastian
Browse files

abstractions paper

parent 76e90319
No related branches found
No related tags found
No related merge requests found
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
@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},
}
This diff is collapsed.
0% Loading or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment