FAST SOLUTIONS OF NON-LINEAR ELLIPTIC EQUATIONS

被引:25
作者
HACKBUSCH, W
机构
[1] Mathematisches Institut, Universität Köln, Köln 41, D-5000
关键词
Subject Classification: AMS(MOS): primary: 65N20; 65L10; secondary:; 65H10; CR:; 5.17; 5.15;
D O I
10.1007/BF01397652
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In a recent paper we described a multi-grid algorithm for the numerical solution of Fredholm's integral equation of the second kind. This multi-grid iteration of the second kind" has important applications to elliptic boundary value problems. Here we study the treatment of nonlinear boundary value problems. The required amount of computational work is proportional to the work needed for a sequence of linear equations. No derivatives are required since these linear problems are not the linearized equations. © 1979 Springer-Verlag."
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页码:83 / 95
页数:13
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