ANALYSIS OF A FULLY DISCRETE FINITE-ELEMENT METHOD FOR A NONLINEAR MAGNETIC-FIELD PROBLEM

被引：46

作者：

HEISE, B ^{[1
]}

机构：

[1] TECH UNIV CHEMNITZ,FACHBEREICH MATH,D-09009 CHEMNITZ,GERMANY

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1994年 / 31卷 / 03期

关键词：

NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHODS; ERROR ESTIMATES; MONOTONE INTERPOLANT;

D O I：

10.1137/0731040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper nonlinear stationary magnetic field problems and their approximation by finite elements are studied. As a new aspect estimates for the error caused by the approximation of the material function are given. A technique for the interpolation of a pointwise given material function that preserves monotonicity is described and error estimates are presented.

引用

页码：745 / 759

页数：15

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