Universität zu Köln

Kopriva, David A. and Gassner, Gregor J. (2016). Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. Appl. Math. Comput., 272. S. 274 - 291. NEW YORK: ELSEVIER SCIENCE INC. ISSN 1873-5649

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Abstract

We investigate three effects of the variable geometric terms that arise when approximating linear conservation laws On curved elements with a provably stable skew-symmetric variant of the discontinuous Galerkin spectral element method (DGSEM). We show for a constant coefficient system that the non-constant coefficient problem generated by mapping a curved element to the reference element is stable and has energy bounded by the initial value as long as the discrete metric identities are satisfied. Under those same conditions, the skew-symmetric approximation is also constant state preserving and discretely conservative, just like the original DGSEM. (C) 2015 Elseviel Inc. All rights reseived.

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:38-293620
DOI:	10.1016/j.amc.2015.08.047
Journal or Publication Title:	Appl. Math. Comput.
Volume:	272
Page Range:	S. 274 - 291
Date:	2016
Publisher:	ELSEVIER SCIENCE INC
Place of Publication:	NEW YORK
ISSN:	1873-5649
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LIGHT-PROPAGATION; DISCRETIZATION; EQUATIONS Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/29362