A DISCREPANCY PRINCIPLE FOR THE SOURCE POINTS LOCATION IN USING THE MFS FOR SOLVING THE BHCP

被引：54

作者：

Hon, Y. C. ^{[1
]}

Li, M. ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2009年 / 6卷 / 02期

关键词：

Method of fundamental solutions; backward heat conduction problem; FUNDAMENTAL-SOLUTIONS; L-CURVE; REGULARIZATION;

D O I：

10.1142/S0219876209001759

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Based on the discrepancy principle, we develop in this paper a new method of choosing the location of source points to solve the backward heat conduction problem (BHCP) by using the method of fundamental solutions (MFS). The standard Tikhonov regularization technique with the L curve method for an optimal regularized parameter is adopted for solving the resultant highly ill-conditioned system of linear equations. Numerical verifications of the proposed computational method are presented for both the one-dimensional and the two-dimensional BHCP.

引用

页码：181 / 197

页数：17

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