FEM METHOD FOR THE EEG FORWARD PROBLEM AND IMPROVEMENT BASED ON MODIFICATION OF THE SAINT VENANT'S METHOD
Author(s) -
Takfarinas Medani,
David Lautru,
Denis Schwartz,
Zhuoxiang Ren,
G. Sou
Publication year - 2015
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier15050102
Subject(s) - singularity , finite element method , numerical analysis , computer science , subtraction , interface (matter) , dipole , mathematics , algorithm , calculus (dental) , mathematical analysis , physics , structural engineering , engineering , arithmetic , parallel computing , medicine , bubble , dentistry , quantum mechanics , maximum bubble pressure method
International audienceThe finite-element method (FEM) is applied to solve the EEG forward problem. Two issues related to the implementation of this method are investigated. The first is the singularity due to the punctual dipole sources and the second is the numerical errors observed near the interface of different tissues. To deal with the singularity of the punctual dipole sources, three source modeling methods, namely, the direct, the subtraction and the Saint Venant's methods, are examined. To solve the problem of numerical instability near the interface of different tissues, a modification on the Saint Venant's method is introduced. The numerical results are compared with analytical solution in the case of the multilayer spherical head models. The advantages of the proposed method are highlighted
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