An inverse method with vanishing regularisation

被引:21
作者
Cimetiere, A
Delvare, F
Pons, F
机构
[1] Univ Poitiers, F-86962 Chasseneuil Futuroscope, France
[2] ENSMA, Lab Modelisat Mecan & Math Appl, F-86962 Chasseneuil Futuroscope, France
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE | 2000年 / 328卷 / 09期
关键词
inverse problems; Laplace's equation; finite element method; regularisation;
D O I
10.1016/S1620-7742(00)01236-8
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A new resolution method for inverse Cauchy problems is persented. The proposed method is literative. It possess the advantage to not perturbe the problem neither by an operator modification nor by introduction of an priori information on the solution. The presentation is made on a model problem for the Laplace's equation. Numerical simulations prove the method efficacy. (C) Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:639 / 644
页数:6
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