Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Combinations of the method of fundamental solutions for general inverse source identification problems

Language

English

Abstract

In this paper, a new general scheme, based on the method of fundamental solutions, is presented for inverse source identification problems. This is fulfilled by coupling a linear combination of fundamental solutions and radial basis functions associated with particular solutions. Under this scheme, we can determine harmonic and nonharmonic source terms from partially accessible boundary measurements. Numerical results for several general inverse source identification problems show that the proposed numerical algorithm is simple, accurate, stable and computationally efficient. © 2012 Elsevier Inc. All rights reserved.

Keywords

Dual reciprocity method, Laplace equation, Method of fundamental solutions, Nonharmonic source function, Nonhomogeneous Cauchy problem

Publication Date

2012

Source Publication Title

Applied Mathematics and Computation

Volume

219

Issue

3

Start Page

1173

End Page

1182

Publisher

Elsevier

DOI

10.1016/j.amc.2012.07.027

Link to Publisher's Edition

http://dx.doi.org/10.1016/j.amc.2012.07.027

ISSN (print)

00963003

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