THE FINITE-ELEMENT METHOD FOR NONLINEAR ELLIPTIC-EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

被引：36

作者：

ZENISEK, A

机构：

[1] Department of Mathematics, Technical University Brno, Brno, 61669

来源：

NUMERISCHE MATHEMATIK | 1990年 / 58卷 / 01期

关键词：

Subject classifications: AMS(MOS); 65N30; CR; G1.8;

D O I：

10.1007/BF01385610

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The study of the finite element approximation to nonlinear second order elliptic boundary value problems with discontinuous coefficients is presented in the case of mixed Dirichlet-Neumann boundary conditions. The change in domain and numerical integration are taken into account. With the assumptions which guarantee that the corresponding operator is strongly monotone and Lipschitz-continuous the following convergence results are proved: 1. the rate of convergence O(hε) if the exact solution u∈H1 (Ω) is piecewise of class H1+ε (0<ε≦1);2. the convergence without any rate of convergence if u∈H1 (Ω) only. © 1990 Springer-Verlag.

引用

页码：51 / 77

页数：27

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