The Kacanov method for some nonlinear problems

被引：15

作者：

Han, WM ^{[1
]}

Jensen, S ^{[1
]}

Shimansky, I ^{[1
]}

机构：

[1] UNIV MARYLAND BALTIMORE CTY,DEPT MATH,BALTIMORE,MD 21228

来源：

APPLIED NUMERICAL MATHEMATICS | 1997年 / 24卷 / 01期

关键词：

D O I：

10.1016/S0168-9274(97)00009-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Kacanov method is an iteration method for solving some nonlinear partial differential equation problems. In each iteration, a linear problem is solved. In this paper, we discuss the use of the Kacanov method in the context of two model problems. We show the convergence of the Kacanov iteration sequences, and derive a posteriori error estimates for the Kacanov iterates. Numerical examples are given showing the convergence of the method and the effectiveness of the a posteriori error estimates. (C) 1997 Elsevier Science B.V.

引用

页码：57 / 79

页数：23

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