Numerical method for solving a class of nonlinear elliptic inverse problems

被引：22

作者：

Essaouini, M

Nachaoui, A

El Hajji, S

机构：

[1] Univ Mohammed 5, Fac Sci, Dept Math & Informat, Rabat, Morocco

[2] Univ Nantes, CNRS, UMR 6629, Lab Math Jean Leray, F-44322 Nantes, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 162卷 / 01期

关键词：

nonlinear inverse problem; ill-posed problem; iterative method; boundary element method;

D O I：

10.1016/j.cam.2003.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses a method to solve a family of nonlinear inverse problems with Cauchy conditions on a part of the boundary and no condition at all on another part. An iterative boundary element procedure is proposed. The scheme uses a dynamically estimated relaxation parameter on the under-specified boundary. Various types of convergence, boundary condition formulations and effects of added small perturbations into the input data are investigated. The numerical results show that the method produces a stable reasonably approximate solution. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：165 / 181

页数：17

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