Finite element approximation for some quasilinear elliptic problems

被引：5
|
作者：
Matsuzawa, Y [1 ]
机构：
[1] Care Of Suzuki T, Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 560, Japan
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 96卷 / 01期
关键词：
quasilinear elliptic boundary value problem; finite element method;
D O I：
10.1016/S0377-0427(98)00085-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the finite element approximation of the boundary value problem - del . (A(u)del u) = f in Omega, u=0 on partial derivative Omega, where Omega is a two- or three-dimensional polyhedral domain and A(u) is a Lipschitz continuous function satisfying A(u) greater than or equal to delta > 0. Under the assumption of the uniqueness of the weak solution, we can show the L-infinity convergence of the approximate solution. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：13 / 25
页数：13
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