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PIER PIER B PIER C PIER M PIER Letters
2015-10-12
FEM Method for the EEG Forward Problem and Improvement Based on Modification of the Saint Venant's Method
By
Takfarinas Medani,

    Dr. Takfarinas Medani

    The Electronics and Electromagnetism Laboratory

    UPMC Univ. Paris 06

    France

    Homepage

David Lautru,

    Dr. David Lautru

    Université Paris Ouest Nanterre La Défense 50 rue de Sèvres

    France

    Homepage

Denis Schwartz,

    Dr. Denis Schwartz

    The Brain & Spine Institute (ICM)

    France

    Homepage

Zhuoxiang Ren,

    Prof. Zhuoxiang Ren

    Institute of Microelectronics, Chinese Academy of Sciences

    China

    Homepage

Gerard Sou

    Dr. Gerard Sou

    UPMC Univ. Paris 06

    France

    Homepage

Progress In Electromagnetics Research, Vol. 153, 11-22, 2015
doi:10.2528/PIER15050102
Abstract
The 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.
Citation
Takfarinas Medani, David Lautru, Denis Schwartz, Zhuoxiang Ren, and Gerard Sou, "FEM Method for the EEG Forward Problem and Improvement Based on Modification of the Saint Venant's Method," Progress In Electromagnetics Research, Vol. 153, 11-22, 2015.
doi:10.2528/PIER15050102
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