A remark on the regularity of the coefficient matrix appearing in the charge simulation method

被引：0

作者：

Watanabe, K ^{[1
]}

Yamada, T ^{[1
]}

Kataoka, S ^{[1
]}

机构：

[1] Natl Def Acad, Dept Comp Sci, Yokosuka, Kanagawa 2398656, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2003年 / 20卷 / 03期

关键词：

charge simulation method; regularity of the matrix; Murota's invariant scheme;

D O I：

10.1007/BF03167423

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The charge simulation method (CSM) is an effective technique for solving the boundary value problem of the Laplace operator numerically. In this note, we first present an alternative proof for Theorem 1 of Katsurada-Okamoto [3] which is the necessary and sufficient condition for the regularity of the matrix appearing in CSM when the domain is a two dimensional disk. In a similar way, we prove the regularity of the corresponding matrix when the domain is a three dimensional open ball.

引用

页码：279 / 284

页数：6

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