TY - JOUR
T1 - Combinations of the method of fundamental solutions for general inverse source identification problems
AU - Wang, Fuzhang
AU - Chen, Wen
AU - Ling, Leevan
N1 - Funding Information:
The work was supported by a research project funded by Huaibei Normal University (Project No. 2012xq44) and a research project funded by the National Basic Research Program of China (Project No. 2010CB832702). This project was also supported by the CERG Grant of Hong Kong Research Grant Council and the FRG Grant of Hong Kong Baptist University.
PY - 2012/10/15
Y1 - 2012/10/15
N2 - 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.
AB - 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.
KW - Dual reciprocity method
KW - Laplace equation
KW - Method of fundamental solutions
KW - Nonharmonic source function
KW - Nonhomogeneous Cauchy problem
UR - http://www.scopus.com/inward/record.url?scp=84867333631&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2012.07.027
DO - 10.1016/j.amc.2012.07.027
M3 - Journal article
AN - SCOPUS:84867333631
SN - 0096-3003
VL - 219
SP - 1173
EP - 1182
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 3
ER -