hp Discontinuous Galerkin Time Stepping for Parabolic Problems
dc.contributor.author
Werder, T.
dc.contributor.author
Gerdes, K.
dc.contributor.author
Schötzau, Dominik
dc.contributor.author
Schwab, Christoph
dc.date.accessioned
2022-08-29T14:44:04Z
dc.date.available
2017-06-13T03:28:27Z
dc.date.available
2022-08-29T14:44:04Z
dc.date.issued
2000-04
dc.identifier.uri
http://hdl.handle.net/20.500.11850/145930
dc.identifier.doi
10.3929/ethz-a-004289435
dc.description.abstract
The algorithmic pattern of the hp Discontinuous Galerkin Finite Element Method (DGFEM) for the time semidiscretization of abstract parabolic evolution equations is presented. In combination with a continuous $hp$ discretization in space we present a fully discrete hp-scheme for the numerical solution of parabolic problems. Numerical examples for the heat equation in a two dimensional domain confirm the exponential convergence rates which are predicted by theoretical results, under realistic assumptions on the initial condition and the data. Different methods to reduce the computational cost of the DGFEM are compared.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Seminar for Applied Mathematics, ETH Zurich
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.title
hp Discontinuous Galerkin Time Stepping for Parabolic Problems
en_US
dc.type
Report
dc.rights.license
In Copyright - Non-Commercial Use Permitted
ethz.journal.title
SAM Research Report
ethz.journal.volume
2000-01
en_US
ethz.size
26 p.
en_US
ethz.code.ddc
DDC - DDC::5 - Science::510 - Mathematics
en_US
ethz.publication.place
Zurich
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03435 - Schwab, Christoph / Schwab, Christoph
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03435 - Schwab, Christoph / Schwab, Christoph
en_US
ethz.identifier.url
https://math.ethz.ch/sam/research/reports.html?id=260
ethz.date.deposited
2017-06-13T03:29:36Z
ethz.source
ECOL
ethz.identifier.importid
imp59366a4cac6a941745
ethz.ecolpid
eth:24864
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-31T13:29:25Z
ethz.rosetta.lastUpdated
2024-02-02T17:57:33Z
ethz.rosetta.versionExported
true
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