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Error Boundedness o...
Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems
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- Kopriva, David A. (author)
- Department of Mathematics, The Florida State University
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- Nordström, Jan (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Gassner, Gregor J. (author)
- Mathematisches Institut, Universität zu Köln
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(creator_code:org_t)
- 2017-01-11
- 2017
- English.
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In: Journal of Scientific Computing. - : Springer Science and Business Media LLC. - 0885-7474 .- 1573-7691. ; 72:1, s. 314-330
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Discontinuous Galerkin spectral element method
- Energy stability
- Error growth
- Error bound
- Hyperbolic problems
Publication and Content Type
- ref (subject category)
- art (subject category)
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