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BIT Numerical Mathematics

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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

verfasst von: Shweta Srivastava, Sashikumaar Ganesan

Erschienen in: BIT Numerical Mathematics | Ausgabe 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.

Vorheriger Artikel Orthogonality constrained gradient reconstruction for superconvergent linear functionals

Nächster Artikel New high order symplectic integrators via generating functions with its application in many-body problem

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Titel: Local projection stabilization with discontinuous Galerkin method in time applied to convection dominated problems in time-dependent domains
verfasst von: Shweta Srivastava
Sashikumaar Ganesan
Publikationsdatum: 29.11.2019
Verlag: Springer Netherlands
Erschienen in: BIT Numerical Mathematics / Ausgabe 2/2020
Print ISSN: 0006-3835
Elektronische ISSN: 1572-9125
DOI: https://doi.org/10.1007/s10543-019-00783-2

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