A time-simultaneous multigrid method for parabolic evolution equations

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dc.contributor.authorDünnebacke, Jonas
dc.contributor.authorTurek, Stefan
dc.contributor.authorZajac, Peter
dc.contributor.authorSokolov, Andriy
dc.date.accessioned2019-12-20T11:57:25Z
dc.date.available2019-12-20T11:57:25Z
dc.date.issued2019-12
dc.description.abstractWe present a time-simultaneous multigrid scheme for parabolic equations that is motivated by blocking multiple time steps together. The resulting method is closely related to multigrid waveform relaxation and is robust with respect to the spatial and temporal grid size and the number of simultaneously computed time steps. We give an intuitive understanding of the convergence behavior and briefly discuss how the theory for multigrid waveform relaxation can be applied in some special cases. Finally, some numerical results for linear and also nonlinear test cases are shown.en
dc.identifier.issn2190-1767
dc.identifier.urihttp://hdl.handle.net/2003/38463
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-20382
dc.language.isoen
dc.relation.ispartofseriesErgebnisberichte des Instituts für Angewandte Mathematik;619de
dc.subject.ddc610
dc.titleA time-simultaneous multigrid method for parabolic evolution equationsen
dc.typeText
dc.type.publicationtypepreprint
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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