Numerical implementations of dynamical probe method for non-stationary heat equation

被引：10

作者：

Daido, Y. ^{[2
]}

Lei, Y. ^{[3
]}

Liu, J. ^{[1
]}

Nakamura, G. ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

[3] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 211卷 / 02期

关键词：

Inverse problem; Heat conduction; Probe method; Numerics; INVERSE SCATTERING PROBLEMS; SHAPE;

D O I：

10.1016/j.amc.2009.01.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamical probe method for non-stationary heat equation is developed recently, which aims to detect an unknown inclusion of conductive material from the boundary measurement data. The Runge approximation is used to de. ne some indicator function for this method, which is a mathematical testing machine to detect the inclusion. A numerical realization of the Runge approximation is the key to this method. By using a regularizing method, a realization scheme is given for the Runge approximation, and numerical examples are given to show the validity of the dynamical probe method. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：510 / 521

页数：12

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