A new approach to analyticity of Dirichlet-Neumann operators

被引：103

作者：

Nicholls, DP ^{[1
]}

Reitich, F ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2001年 / 131卷

关键词：

D O I：

10.1017/S0308210500001463

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper outlines the theoretical background of a new approach towards an accurate and well-conditioned perturbative calculation of Dirichlet-Neumann operators (DNOs) on domains that are perturbations of simple geometries. Previous work on the analyticity of DNOs has produced formulae that, as we have found, are very ill-conditioned. We show how a simple change of variables can lead to recursions that satisfy analyticity estimates without relying on subtle cancellation properties at the heart of previous formulae.

引用

页码：1411 / 1433

页数：23

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