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.

引用

页码：159 / 175

页数：16