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Journal of Scientific Computing

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11-01-2017

Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems

Authors: David A. Kopriva, Jan Nordström, Gregor J. Gassner

Published in: Journal of Scientific Computing | Issue 1/2017

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Abstract

We examine the long time error behavior of discontinuous Galerkin spectral element approximations to hyperbolic equations. We show that the choice of numerical flux at interior element boundaries affects the growth rate and asymptotic value of the error. Using the upwind flux, the error reaches the asymptotic value faster, and to a lower value than a central flux gives, especially for low resolution computations. The differences in the error caused by the numerical flux choice decrease as the solution becomes better resolved.

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Title: Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems
Authors: David A. Kopriva
Jan Nordström
Gregor J. Gassner
Publication date: 11-01-2017
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 1/2017
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0358-2

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