4.7 Article

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

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 219, Issue 3, Pages 1173-1182

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.07.027

Keywords

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

Funding

  1. Huaibei Normal University [2012xq44]
  2. National Basic Research Program of China [2010CB832702]
  3. CERG of Hong Kong Research Grant Council
  4. FRG of Hong Kong Baptist University

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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. (C) 2012 Elsevier Inc. All rights reserved.

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