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

Fuzhang Wang*, Wen Chen, Leevan LING

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1173-1182
Number of pages10
JournalApplied Mathematics and Computation
Volume219
Issue number3
DOIs
Publication statusPublished - 15 Oct 2012

Scopus Subject Areas

  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

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

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