Minimum residual adaptive multilevel finite element procedure for the solution of nonlinear stationary problems

被引：10

作者：

Axelsson, O ^{[1
]}

Kaporin, IE

机构：

[1] Univ Nijmegen, Fac Math & Informat, Nijmegen, Netherlands

[2] Russian Acad Sci, Ctr Computat, Ctr Supercomp & Massively Parallel Applicat, Moscow 117967, Russia

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1998年 / 35卷 / 03期

关键词：

nonlinear boundary value problems; inexact Newton methods; least squares FE methods; adaptive FE space refinement;

D O I：

10.1137/S0036142995286428

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A multilevel minimum residual-type procedure for an adaptive finite element (FE) solution of a general nonlinear differential problem is analyzed with respect to linearization and adaptive FE approximation errors. Simple sufficient conditions for the linear and quadratic convergence to the exact solution of the original problem with increasing number of levels are established. A nontrivial numerical example illustrates the efficiency of the method.

引用

页码：1213 / 1229

页数：17

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