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29-11-2019

Local projection stabilization with discontinuous Galerkin method in time applied to convection dominated problems in time-dependent domains

Authors: Shweta Srivastava, Sashikumaar Ganesan

Published in: BIT Numerical Mathematics | Issue 2/2020

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Abstract

This paper presents the numerical analysis of a stabilized finite element scheme with discontinuous Galerkin (dG) discretization in time for the solution of a transient convection–diffusion–reaction equation in time-dependent domains. In particular, the local projection stabilization and the higher order dG time stepping scheme are used for convection dominated problems. Further, an arbitrary Lagrangian–Eulerian formulation is used to handle the time-dependent domain. The stability and error estimates are given for the proposed numerical scheme. The validation of the proposed local projection stabilization scheme with higher order dG time discretization is demonstrated with appropriate numerical examples.

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Title: Local projection stabilization with discontinuous Galerkin method in time applied to convection dominated problems in time-dependent domains
Authors: Shweta Srivastava
Sashikumaar Ganesan
Publication date: 29-11-2019
Publisher: Springer Netherlands
Published in: BIT Numerical Mathematics / Issue 2/2020
Print ISSN: 0006-3835
Electronic ISSN: 1572-9125
DOI: https://doi.org/10.1007/s10543-019-00783-2

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