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

共 50 条

[31] 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
[32] A computational framework for boundary-value problem based simulations
Adomaitis, RA
Lin, YH
Chang, HN
SIMULATION, 2000, 74 (01) : 28 - 38
[33] Inverse spectral problem for Dirac operator with discontinuous coefficient and polynomials in boundary condition
Col, Aynur
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2016, 24 (02) : 234 - 246
[34] An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
Ismailov, Mansur I.
Kanca, Fatma
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (06) : 692 - 702
[35] On the boundary value problem for the Sturm-Liouville equation with the discontinuous coefficient
Nabiev, A. Adiloglu
Amirov, R. Kh.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (13) : 1685 - 1700
[36] An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle
Mehraliyev, Yashar T.
Kanca, Fatma
MATHEMATICAL MODELLING AND ANALYSIS, 2014, 19 (02) : 241 - 256
[37] Increasing Stability in an Inverse Boundary Value Problem-Bayesian Viewpoint
Kow, Pu-Zhao
Wang, Jenn-Nan
TAIWANESE JOURNAL OF MATHEMATICS, 2025, 29 (01): : 89 - 128
[38] Stably numerical solving inverse boundary value problem for data assimilation
Mu, Xiyu
Cheng, Hao
Xu, Qi
Liu, Guoqing
APPLIED MATHEMATICAL MODELLING, 2020, 82 : 825 - 835
[39] A total variation regularization method for an inverse problem of recovering an unknown diffusion coefficient in a parabolic equation
Li, Zhaoxing
Deng, Zhiliang
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2020, 28 (10) : 1453 - 1473
[40] Inverse natural convection problem of simultaneous estimation of two boundary heat fluxes in irregular cavities
Colaço, MJ
Orlande, HRB
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2004, 47 (6-7) : 1201 - 1215

← 1 2 3 4 5 →