4.7 Article

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

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 219, 期 3, 页码 1173-1182

出版社

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

关键词

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

资金

  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

向作者/读者索取更多资源

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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