One- and Two-Level Domain Decomposition Methods for Nonlinear Problems

被引：0
|
作者：
Badea, L. [1 ]
机构：
[1] Romanian Acad, Inst Math, Bucharest, Romania
来源：
PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED AND GRID COMPUTING FOR ENGINEERING | 2009年 / 90期
关键词：
domain decomposition methods; nonlinear variational inequalities; fixed-point problems; quasi-variational inequalities; multigrid and multilevel methods; contact problems with friction; nonlinear obstacle problems; SCHWARZ ALTERNATING METHODS; MONOTONE MULTIGRID METHODS; VARIATIONAL-INEQUALITIES; CONVERGENCE;
D O I：
暂无
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we synthesize the results in [1] - [6] concerning the convergence rate of the one- and two-level methods for some nonlinear problems: nonlinear variational inequalities, inequalities with contraction operators, variational inequalities of the second kind and quasi-variational inequalities. Also, we verify that the convergence rates obtained by numerical tests are really in concordance with the theoretical ones. We comparatively illustrate the convergence rates of the one- and two-level methods by numerical experiments for the solution of the two-obstacle problem of a nonlinear elastic membrane.
引用
收藏
页码：71 / 88
页数：18
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