Year: 2014
Author: C. Agrell, N. H. Risebro
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 1 : pp. 148–171
Abstract
We study relaxation approximations to solutions of a 2 × 2 triangular system of conservation laws. We show that smooth relaxation approximations exist for all time. A finite difference approximation of the relaxation system gives rise to a relaxation scheme of the Jin and Xin type. In both cases we show that a sequence of approximate solutions is produced where the limit is a weak solution of the triangular system. Compensated compactness is used to establish convergence.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-519
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 1 : pp. 148–171
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: triangular systems of conservation laws relaxation compensated compactness.