001     151267
005     20230310131358.0
037 _ _ |a FZJ-2014-01258
100 1 _ |a Ruprecht, Daniel
|0 P:(DE-HGF)0
|b 0
|e Corresponding author
245 _ _ |a Parareal for diffusion problems with space- and time-dependent coefficients
260 _ _ |c 2014
336 7 _ |a Preprint
|b preprint
|m preprint
|0 PUB:(DE-HGF)25
|s 1412863005_26712
|2 PUB:(DE-HGF)
336 7 _ |a WORKING_PAPER
|2 ORCID
336 7 _ |a preprint
|2 DRIVER
336 7 _ |a Output Types/Working Paper
|2 DataCite
336 7 _ |a Electronic Article
|0 28
|2 EndNote
336 7 _ |a ARTICLE
|2 BibTeX
520 _ _ |a For the time-parallel Parareal method, there exists both numerical and analytical proof that it converges very well for diffusive problems like the heat equation. Many applications, however, do not lead to simple homogeneous diffusive scenarios but feature strongly inhomogeneous and possibly anisotropic coefficients. The paper presents results from a numerical study of how space- and time-dependent coefficients in a diffusion setup affect Parareal's convergence behaviour. It is shown that, for the presented examples, non-constant diffusion coefficients have only marginal influence on how fast Parareal converges. Furthermore, an example is shown that illustrates how for linear problems the maximum singular value of the Parareal iteration matrix can be used to estimate convergence rates.
536 _ _ |a 411 - Computational Science and Mathematical Methods (POF2-411)
|0 G:(DE-HGF)POF2-411
|c POF2-411
|x 0
|f POF II
536 _ _ |a DFG project 450829162 - Raum-Zeit-parallele Simulation multimodale Energiesystemen (450829162)
|0 G:(GEPRIS)450829162
|c 450829162
|x 1
588 _ _ |a Dataset connected to arXivarXiv
700 1 _ |a Speck, Robert
|0 P:(DE-Juel1)132268
|b 1
|u fzj
700 1 _ |a Krause, Rolf
|0 P:(DE-HGF)0
|b 2
856 4 _ |u http://arxiv.org/abs/1401.7829
909 C O |o oai:juser.fz-juelich.de:151267
|p VDB
910 1 _ |a Forschungszentrum Jülich GmbH
|0 I:(DE-588b)5008462-8
|k FZJ
|b 1
|6 P:(DE-Juel1)132268
913 2 _ |a DE-HGF
|b POF III
|l Key Technologies
|1 G:(DE-HGF)POF3-510
|0 G:(DE-HGF)POF3-511
|2 G:(DE-HGF)POF3-500
|v Supercomputing & Big Data
|x 0
913 1 _ |a DE-HGF
|b Schlüsseltechnologien
|l Supercomputing
|1 G:(DE-HGF)POF2-410
|0 G:(DE-HGF)POF2-411
|2 G:(DE-HGF)POF2-400
|v Computational Science and Mathematical Methods
|x 0
|4 G:(DE-HGF)POF
|3 G:(DE-HGF)POF2
914 1 _ |y 2014
920 1 _ |0 I:(DE-Juel1)JSC-20090406
|k JSC
|l Jülich Supercomputing Center
|x 0
980 _ _ |a preprint
980 _ _ |a VDB
980 _ _ |a I:(DE-Juel1)JSC-20090406
980 _ _ |a UNRESTRICTED


LibraryCollectionCLSMajorCLSMinorLanguageAuthor
Marc 21