A computational procedure for estimation of an unknown coefficient in an inverse boundary value problem

被引：4

作者：

Fakhraie, M. ^{[1
]}

Shidfar, A. ^{[1
]}

Garshasbi, M. ^{[1
]}

机构：

[1] Islamic Azad Univ, Lahijan Branch, Lahijan, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 02期

关键词：

inverse problem; conjugate gradient method; adjoint equation; boundary value problems;

D O I：

10.1016/j.amc.2006.09.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study deals with the use of conjugate gradient method in conjunction with an adjoint problem formulation for the estimation of an unknown coefficient in a boundary value problem (BVP) of second-order. in the present approach, no a priori assumption is required regarding the functional form of the unknown. The accuracy of the inverse analysis is examined by simulated exact and inexact data. The numerical results show that good estimation on unknown coefficient can be obtained for all the test cases considered in this study. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1120 / 1125

页数：6

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