MISSING BOUNDARY DATA RECONSTRUCTION VIA AN APPROXIMATE OPTIMAL CONTROL

被引：17

作者：

Aboulaich, Rajae ^{[1
]}

Ben Abda, Amel ^{[2
]}

Kallel, Moez ^{[3
,4
]}

机构：

[1] LERMA, Ecole Mohammadia Ingn, Rabat, Morocco

[2] LAMSIN, Ecole Natl Ingn Tunis, Tunis 1002, Tunisia

[3] LAMSIN, ENIT, Tunis 1002, Tunisia

[4] Inst Preparatoire Etud Ingn Tunis, Tunis 1002, Tunisia

来源：

INVERSE PROBLEMS AND IMAGING | 2008年 / 2卷 / 04期

关键词：

inverse problem; Cauchy problem; optimal control; regularization;

D O I：

10.3934/ipi.2008.2.411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An approximate optimal control formulation of the Cauchy problem for elliptic equations is considered. A cost functional adding a fading through the iterations regularizing term borrowed from the domain decomposition communauty is proposed. Convergence of the descretized finite elements solution to the continuous one is proved. Numerical experiments involving smooth, non-smooth geometries as well as anisotropy highlight the capability of the present missing boundary data recovering process.

引用

页码：411 / 426

页数：16

共 19 条

[1] Solving Cauchy problems by minimizing an energy-like functional [J].