Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions

被引：17

作者：

Bin-Mohsin, B. ^{[1
,2
]}

Lesnic, D. ^{[1
]}

机构：

[1] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England

[2] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2012年 / 82卷 / 08期

关键词：

Modified Helmholtz's equation; Inverse problem; Method of fundamental solutions; Regularisation; MFS; IDENTIFICATION; RECONSTRUCTION; SCATTERING;

D O I：

10.1016/j.matcom.2012.02.002

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, an inverse geometric problem for the modified Helmholtz equation arising in heat conduction in a fin, which consists of determining an unknown inner boundary (rigid inclusion or cavity) of an annular domain from a single pair of boundary Cauchy data is solved numerically using the method of fundamental solutions (MFS). A nonlinear minimisation of the objective function is regularised when noise is added into the input boundary data. The stability of numerical results is investigated for several test examples. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1445 / 1458

页数：14

共 23 条

[1] THE DIRECT METHOD OF FUNDAMENTAL SOLUTIONS AND THE INVERSE KIRSCH-KRESS METHOD FOR THE RECONSTRUCTION OF ELASTIC INCLUSIONS OR CAVITIES [J].