Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver
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 meshf...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/840593 |
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| _version_ | 1832568094167400448 |
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| author | Chany Lee Jong-Ho Choi Ki-Young Jung Hyun-Kyo Jung |
| author_facet | Chany Lee Jong-Ho Choi Ki-Young Jung Hyun-Kyo Jung |
| author_sort | Chany Lee |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9eea7592561941db8868940645df050e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9eea7592561941db8868940645df050e2025-02-03T00:59:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/840593840593Coupling of Point Collocation Meshfree Method and FEM for EEG Forward SolverChany Lee0Jong-Ho Choi1Ki-Young Jung2Hyun-Kyo Jung3College of Medicine, Korea University, 126-1 Anam-dong, Sungbuk-gu, Seoul 136-705, Republic of KoreaSchool of Electrical Engineering and Computer Science, Seoul National University, Seoul 151-742, Republic of KoreaCollege of Medicine, Korea University, 126-1 Anam-dong, Sungbuk-gu, Seoul 136-705, Republic of KoreaCollege of Medicine, Korea University, 126-1 Anam-dong, Sungbuk-gu, Seoul 136-705, Republic of KoreaFor 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.http://dx.doi.org/10.1155/2012/840593 |
| spellingShingle | Chany Lee Jong-Ho Choi Ki-Young Jung Hyun-Kyo Jung Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver Journal of Applied Mathematics |
| title | Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver |
| title_full | Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver |
| title_fullStr | Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver |
| title_full_unstemmed | Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver |
| title_short | Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver |
| title_sort | coupling of point collocation meshfree method and fem for eeg forward solver |
| url | http://dx.doi.org/10.1155/2012/840593 |
| work_keys_str_mv | AT chanylee couplingofpointcollocationmeshfreemethodandfemforeegforwardsolver AT jonghochoi couplingofpointcollocationmeshfreemethodandfemforeegforwardsolver AT kiyoungjung couplingofpointcollocationmeshfreemethodandfemforeegforwardsolver AT hyunkyojung couplingofpointcollocationmeshfreemethodandfemforeegforwardsolver |