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
Full text not available from this repository.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: |
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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 | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/22693 |
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