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.
Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:39044 |
Date | 17 April 2020 |
Creators | Ahmed, Naveed, Matthies, Gunar |
Publisher | Cambridge University Press |
Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
Language | English |
Detected Language | English |
Type | info:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text |
Rights | info:eu-repo/semantics/openAccess |
Relation | 0764-583X, 1290-3841, 10.1051/m2an/2015019 |
Page generated in 0.0012 seconds