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
收藏
页码：1120 / 1125
页数：6
相关论文
共 50 条
  • [21] Estimation of an unknown distributed heat source in the inverse heat conduction problem
    Char, Ming-I
    Chang, Fu-Ping
    Tai, Bo-Chen
    JOURNAL OF THE CHINESE SOCIETY OF MECHANICAL ENGINEERS, 2007, 28 (04): : 397 - 404
  • [22] On an inverse boundary-value problem for the pseudohyperbolic equation with nonclassical boundary conditions
    Azizbayov, Elvin I.
    Mehraliyev, Yashar T.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2025, 54 (01): : 142 - 158
  • [23] AN INVERSE BOUNDARY-VALUE PROBLEM FOR SEMILINEAR ELLIPTIC EQUATIONS
    Sun, Ziqi
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
  • [24] Adjoint method for inverse boundary value problem of heat conduction
    Onishi, K
    Ohura, Y
    COMPUTATIONAL MECHANICS, VOLS 1 AND 2, PROCEEDINGS: NEW FRONTIERS FOR THE NEW MILLENNIUM, 2001, : 1095 - 1100
  • [25] An Interior Inverse Problem for Discontinuous Boundary-Value Problems
    Yang, Chuan-Fu
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2009, 65 (04) : 593 - 604
  • [26] To the Identification of an Inverse Boundary-Value Problem for the Biharmonic Equation
    Voloshko, Lyubov
    Kiselyova, Olena
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 2191 - 2194
  • [27] Inverse boundary value problem for the heat equation with discontinuous coefficients
    Nakamura, Gen
    Sasayama, Satoshi
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2013, 21 (02): : 217 - 232
  • [28] An Interior Inverse Problem for Discontinuous Boundary-Value Problems
    Chuan-Fu Yang
    Integral Equations and Operator Theory, 2009, 65
  • [29] Inverse Boundary Value Problem for Maxwell Equations with Local Data
    Caro, Pedro
    Ola, Petri
    Salo, Mikko
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2009, 34 (11) : 1425 - 1464
  • [30] Inverse Boundary Value Problem Solution for Deflected Beams Joined Together by Elastic Medium
    Alomari, Omar
    Dubovski, B. Pavel
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (02): : 1140 - 1153
12345