Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations

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Date
2014
Volume
1945
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

Higher order variational time stepping schemes allow an efficient post-processing for computing a higher order solution. This paper presents an adaptive algorithm whose time step control utilizes the post-processed solution. The algorithm is applied to convection-dominated convection-diffusion equations. It is shown that the length of the time step properly reflects the dynamics of the solution. The numerical costs of the adaptive algorithm are discussed.

Description
Keywords
Continuous Galerkin-Petrov method, discontinuous Galerkin method, post-processed solution, adaptive step length control, SUPG stabilization
Citation
Ahmed, N., & John, V. (2014). Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations (Vol. 1945). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
License
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