Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 219, Issue 3, Pages 1173-1182Publisher
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
Categories
Funding
- Huaibei Normal University [2012xq44]
- National Basic Research Program of China [2010CB832702]
- CERG of Hong Kong Research Grant Council
- 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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