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

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813158516.pdf (806.84 KB)

Date

2014

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1990

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WIAS Preprints

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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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Abstract

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.

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Transient convection-diffusion-reaction problem, local projection stabilization, continuous Galerkin-Petrov method, discontinuous Galerkin method

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Report

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publishedVersion

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https://doi.org/10.34657/2482
 https://oa.tib.eu/renate/handle/123456789/2875

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Mathematik
WIAS Preprints

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