On the Numerical Solution of Some Semilinear Elliptic Problems – II

被引：0
作者：
K. Atkinson
A. Sommariva
机构：
[1] The University of Iowa,Departments of Mathematics and Computer Science
[2] University of Padua,Department of Pure and Applied Mathematics
来源：
Computing | 2005年 / 74卷
关键词：
65R20; 65N99; 35J65; Elliptic; nonlinear; integral equation; Galerkin method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the earlier paper [6], a Galerkin method was proposed and analyzed for the numerical solution of a Dirichlet problem for a semi-linear elliptic boundary value problem of the form −ΔU=F(·,U). This was converted to a problem on a standard domain and then converted to an equivalent integral equation. Galerkin’s method was used to solve the integral equation, with the eigenfunctions of the Laplacian operator on the standard domain D as the basis functions. In this paper we consider the implementing of this scheme, and we illustrate it for some standard domains D.
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页码：159 / 175
页数：16
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