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Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations

We present the analysis for the higher order continuous Galerkin−Petrov (cGP) time discretization schemes in combination with the one-level local projection stabilization in space applied to time-dependent convection-diffusion-reaction problems. Optimal a priori error estimates will be proved. Numerical studies support the theoretical results. Furthermore, a numerical comparison between continuous Galerkin−Petrov and discontinuous Galerkin time discretization schemes will be given.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:39044
Date17 April 2020
CreatorsAhmed, Naveed, Matthies, Gunar
PublisherCambridge University Press
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess
Relation0764-583X, 1290-3841, 10.1051/m2an/2015019

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