Year: 1999
Author: Hui Feng, Long-Jun Shen
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 2 : pp. 191–198
Abstract
In this paper we investigate the existence, uniqueness and regularity of the solution of semilinear parabolic equations with coefficients that are discontinuous across the interface, and some prior estimates are obtained. A net shape of the finite elements around the singular points was designed in [7] to solve the linear elliptic problems, by means of that net, we prove that the approximate solution has the same convergence rate as that without singularity.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9093
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 2 : pp. 191–198
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Finite element Semilinear parabolic equation Discontinuous coefficients.