Universität zu Köln

Kopriva, David A., Nordstrom, Jan ORCID: 0000-0002-7972-6183 and Gassner, Gregor J. (2017). Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. J. Sci. Comput., 72 (1). S. 314 - 331. NEW YORK: SPRINGER/PLENUM PUBLISHERS. ISSN 1573-7691

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kopriva, David A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Nordstrom, Jan UNSPECIFIED orcid.org/0000-0002-7972-6183 UNSPECIFIED Gassner, Gregor J. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-226938
DOI:	10.1007/s10915-017-0358-2
Journal or Publication Title:	J. Sci. Comput.
Volume:	72
Number:	1
Page Range:	S. 314 - 331
Date:	2017
Publisher:	SPRINGER/PLENUM PUBLISHERS
Place of Publication:	NEW YORK
ISSN:	1573-7691
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FINITE-DIFFERENCE SCHEMES; MAXWELLS EQUATIONS; ORDER Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/22693