Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems

被引：16

作者：

Karageorghis, A. ^{[1
]}

Lesnic, D. ^{[2
]}

Marin, L. ^{[3
,4
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, Nicosia, Cyprus

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

[3] Romanian Acad, Inst Solid Mech, Bucharest, Romania

[4] Univ Bucharest, Ctr Continuum Mech, Fac Math & Comp Sci, Bucharest, Romania

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2014年 / 22卷 / 03期

关键词：

void detection; inverse problem; Trefftz method; collocation; Primary; 65N35; Secondary; 65N21; 65N38; BOUNDARY IDENTIFICATION PROBLEM; SHAPE RECONSTRUCTION; INTEGRAL-EQUATIONS; LAPLACE EQUATION; ALGORITHM; CAVITIES; MFS;

D O I：

10.1080/17415977.2013.788172

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose the use of the collocation Trefftz method for the solution of inverse geometric problems and, in particular, the determination of the boundary of a void. As was the case in the solution of such problems using the method of fundamental solutions, the algorithm for imaging the interior of the medium also makes use of radial polar parametrization of the unknown void shape in two dimensions. The centre of this radial polar parametrization is considered to be unknown. The feasibility of this new method is illustrated by several numerical examples highlighting its advantages and shortcomings.

引用

页码：395 / 418

页数：24

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