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

页码：13 / 25

页数：13

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