CONVERGENCE PROPERTIES OF THE NUMERICAL-SOLUTION OF BOUNDARY-VALUE PROBLEMS BY MEANS OF DOUBLE-LAYER POTENTIALS

被引：1

作者：

STILLER, S

机构：

[1] Rechenzentrum Universität Münster, Münster, D-4400

来源：

COMPUTING | 1979年 / 21卷 / 03期

关键词：

D O I：

10.1007/BF02253056

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

To solve boundary value problems in ℝ2 numerically one may use the representation of its solution by means of double layer potentials resp. the 3rd Green's formula. The resulting integral equations of the second kind are treated by discretization. In this note we establish existence and uniqueness of the numerical solution for convex domains and derive the order of convergence for the Dirichlet-problem if the domain is strictly convex and has a smooth boundary. © 1979 Springer-Verlag.

引用

页码：233 / 243

页数：11

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