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The method of fundamental solutions in solving coupled boundary value problems for M/EEG

  • Authors: Ala, G.; Fasshauer, G.; Francomano, E.; Ganci, S.; Mccourt, M.
  • Publication year: 2015
  • Type: Articolo in rivista (Articolo in rivista)
  • OA Link:


The estimation of neuronal activity in the human brain from electroencephalography (EEG) and magnetoencephalography (MEG) signals is a typical inverse problem whose solution pro- cess requires an accurate and fast forward solver. In this paper the method of fundamental solutions is, for the first time, proposed as a meshfree, boundary-type, and easy-to-implement alternative to the boundary element method (BEM) for solving the M/EEG forward problem. The solution of the forward problem is obtained by numerically solving a set of coupled boundary value problems for the three-dimensional Laplace equation. Numerical accuracy, convergence, and computational load are investigated. The proposed method is shown to be a competitive alternative to the state-of-the-art BEM for M/EEG forward solving.