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Coupling of point collocation meshfree method and FEM for EEG forward solver. (English) Zbl 1244.94013

Summary: For solving electroencephalographic forward problem, coupled method of finite element method (FEM) and fast moving least square reproducing kernel method (FMLSRKM) which is a kind of meshfree method is proposed. Current source modeling for FEM is complicated, so source region is analyzed using meshfree method. First order of shape function is used for FEM and second order for FMLSRKM because FMLSRKM adopts point collocation scheme. Suggested method is tested using simple equation using 1-, 2-, and 3-dimensional models, and error tendency according to node distance is studied. In addition, electroencephalographic forward problem is solved using spherical head model. Proposed hybrid method can produce well-approximated solution.

MSC:

94A12 Signal theory (characterization, reconstruction, filtering, etc.)
92-08 Computational methods for problems pertaining to biology
78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
92C50 Medical applications (general)
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