The finite element method for semilinear parabolic equations with discontinuous coefficients

被引：0
|
作者：
Feng, H
Shen, LJ
机构：
[1] Shenzhen Univ Normal Coll, Shenzhen 518060, Peoples R China
[2] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 1999年 / 17卷 / 02期
关键词：
finite element; semilinear parabolic equation; discontinuous coefficients;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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, 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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页码：191 / 198
页数：8
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