Year: 1999
Author: Che Sun, Shu-Jie Qin
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 1 : pp. 97–112
Abstract
In this paper, the full discrete discontinuous Galerkin finite element method to solve 2-dimensional first-order linear hyperbolic problem is considered. Two practical schemes, Euler scheme and Crank-Nicolson scheme, are constructed. For each of them, the stability and error estimation with optimal order approximation is established in the norm stronger than $L^2$-norm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9085
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 1 : pp. 97–112
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Hyperbolic equation Discontinuous F.E.M. Euler scheme.