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
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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.

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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.
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