Numerical reconstruction of internal states by boundary measurements for the Laplace equation

被引：0

作者：

Wang, QC ^{[1
]}

Onishi, K ^{[1
]}

机构：

[1] Ibaraki Univ, Grad Sch, Dept Math Sci, Mito, Ibaraki 310, Japan

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2001年 / 22卷 / 3-4期

关键词：

inverse problem; direct variational approach; Laplace equation;

D O I：

10.1081/NFA-100105112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the paper is to present a unified numerical method for problems consisting of the conventional boundary value problem. Cauchy problem, under-determined problem, and over-determined problem. The method is based on the direct variational approach, which paraphrases the problems into the primary and adjoint boundary value problems that can be tackled by commonly used computer programs for the numerical solution of the Laplace equation.

引用

页码：441 / 453

页数：13

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