Department of Mathematics
Combinations of the method of fundamental solutions for general inverse source identification problems
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.
Dual reciprocity method, Laplace equation, Method of fundamental solutions, Nonharmonic source function, Nonhomogeneous Cauchy problem
Source Publication Title
Applied Mathematics and Computation
Link to Publisher's Edition
Wang, F., Chen, W., & Ling, L. (2012). Combinations of the method of fundamental solutions for general inverse source identification problems. Applied Mathematics and Computation, 219 (3), 1173-1182. https://doi.org/10.1016/j.amc.2012.07.027