Universität zu Köln

Kopriva, David A. and Gassner, Gregor J. (2014). AN ENERGY STABLE DISCONTINUOUS GALERKIN SPECTRAL ELEMENT DISCRETIZATION FOR VARIABLE COEFFICIENT ADVECTION PROBLEMS. SIAM J. Sci. Comput., 36 (4). S. A2076 - 24. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

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Abstract

We develop a stable split-form discontinuous Galerkin spectral element method for the solution of variable coefficient linear hyperbolic systems of conservation laws. In our presentation, we start with the simplest problem and introduce complexity as we progress. We begin with the approximation of scalar conservation laws in one space dimension. We then extend the derivation to hyperbolic systems. Finally, we approximate the two-dimensional problem. Numerical experiments are performed to compare the approximations.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kopriva, David A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Gassner, Gregor J. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-449405
DOI:	10.1137/130928650
Journal or Publication Title:	SIAM J. Sci. Comput.
Volume:	36
Number:	4
Page Range:	S. A2076 - 24
Date:	2014
Publisher:	SIAM PUBLICATIONS
Place of Publication:	PHILADELPHIA
ISSN:	1095-7197
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LIGHT-PROPAGATION; APPROXIMATION; EQUATIONS Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/44940