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

Guido Ala, Elisa Francomano, Salvatore Ganci, Michael J. Mccourt, Fasshauer

Risultato della ricerca: Article

23 Citazioni (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)B570-B590
Numero di pagine21
RivistaSIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume37
Stato di pubblicazionePublished - 2015

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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