Combinations of the method of fundamental solutions for general inverse source identification problems. (English) Zbl 1287.35103

Summary: In this paper, a new general scheme, based on the method of fundamental solutions, is presented for inverse source identification problems. This is achieved 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.


35R30 Inverse problems for PDEs
65N21 Numerical methods for inverse problems for boundary value problems involving PDEs
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