A first order method for the Cauchy problem for the Laplace equation using BEM

被引：14
作者：
Delvare, Franck [1 ,2 ]
Cimetiere, Alain [3 ]
机构：
[1] Univ Orleans, Lab Energet Explos Struct, F-18020 Bourges, France
[2] ENSI Bourges, F-18020 Bourges, France
[3] Univ Poitiers, LMP, F-86962 Futuroscope, France
来源：
COMPUTATIONAL MECHANICS | 2008年 / 41卷 / 06期
关键词：
Cauchy problem; inverse problem; boundary values; boundary element method; regularization;
D O I：
10.1007/s00466-007-0157-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose is to propose an improved method for inverse boundary value problems. This method is presented on a model problem. It introduces a higher order problem. BEM numerical simulations highlight the efficiency, the improved accuracy, the robustness to noisy data of this new approach, as well as its ability to deblur noisy data.
引用
收藏
页码：789 / 796
页数：8
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