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Journal of Applied Mathematics
Volume 2012, Article ID 840593, 9 pages
Research Article

Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver

1College of Medicine, Korea University, 126-1 Anam-dong, Sungbuk-gu, Seoul 136-705, Republic of Korea
2School of Electrical Engineering and Computer Science, Seoul National University, Seoul 151-742, Republic of Korea

Received 15 November 2011; Accepted 28 December 2011

Academic Editor: Chang-Hwan Im

Copyright © 2012 Chany Lee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.