Year: 2001
Author: Jin-Chao Xu, Lung-An Ying
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 87–100
Abstract
An explicit upwind finite element method is given for the numerical computation to multi-dimensional scalar conservation laws. It is proved that this scheme is consistent to the equation and monotone, and the approximate solution satisfies discrete entropy inequality. To guarantee the limit of approximate solutions to be a measure valued solution, we prove an energy estimate. Then the $L^p$ strong convergence of this scheme is proved.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8960
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 87–100
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Conservation law Finite element method Convergence.