A cascadic multigrid method for a kind of semilinear elliptic problem

被引：0
|
作者：
Haixiong Yu
Jinping Zeng
机构：
[1] Hunan University,College of Mathematics and Econometrics
[2] Dongguan University of Technology,College of Computer
来源：
Numerical Algorithms | 2011年 / 58卷
关键词：
Semilinear elliptic problem; Hölder continuous; Cascadic multigrid method; 65N12; 65N30; 65N55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we analyze a cascadic multigrid method for semilinear elliptic problems in which the derivative of the semilinear term is Hölder continuous. We first investigate the standard finite element error estimates of this kind of problem. We then solve the corresponding discrete problems using the cascadic multigrid method. We prove that the algorithm has an optimal order of convergence in energy norm and quasi-optimal computational complexity. We also report some numerical results to support the theory.
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页码：143 / 162
页数：19
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