An iterative boundary element method for Cauchy inverse problems

被引：26
|
作者：
Delvare, F
Cimetière, A
Pons, F
机构：
[1] ENSI Bourges, Lab Encerget Explos Structures, F-18020 Bourges, France
[2] Appl Univ Poitiers, Lab Modelisat Mecan & Math, F-86962 Futuroscope, France
[3] ENSMA, F-86962 Futuroscope, France
来源：
COMPUTATIONAL MECHANICS | 2002年 / 28卷 / 3-4期
关键词：
inverse problems; boundary element method;
D O I：
10.1007/S00466-001-0292-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are interested in this paper in recovering an harmonic function from the knowledge of Cauchy data on some part of the boundary. A new inversion method is introduced. It reduces the Cauchy problem resolution to the determination of the resolution of a sequence of well-posed problems. The sequence of these solutions is proved to converge to the Cauchy problem solution. The algorithm is implemented in the framework of boundary elements. Displayed numerical results highlight its accuracy, as well as its robustness to noisy data.
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页码：291 / 302
页数：12
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