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

Srivastava, Shweta and Ganesan, Sashikumaar (2019) Local projection stabilization with discontinuous Galerkin method in time applied to convection dominated problems in time-dependent domains. In: BIT NUMERICAL MATHEMATICS .

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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.

Item Type:	Journal Article
Publication:	BIT NUMERICAL MATHEMATICS
Publisher:	SPRINGER
Additional Information:	Copyright of this article belongs to SPRINGER, VAN GODEWIJCKSTRAAT 30
Keywords:	Convection-diffusion-reaction equation; Local projection stabilization; Discontinuous Galerkin method in time; Arbitrary Lagrangian Eulerian formulations
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	12 Feb 2020 10:21
Last Modified:	12 Feb 2020 10:21
URI:	http://eprints.iisc.ac.in/id/eprint/64101

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