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Coupling of point collocation meshfree method and FEM for EEG forward solver

机译:点配置无网格法与有限元法的脑电正解算耦合

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摘要

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.
机译:为了解决脑电图正向问题,提出了一种有限元法和快速移动最小二乘再现核法(FMLSRKM)相结合的无网格法。用于有限元的电流源建模很复杂,因此使用无网格方法分析源区域。形状函数的一阶用于FEM,二阶用于FMLSRKM,因为FMLSRKM采用点配置方案。使用一维,二维和三维模型,通过简单的方程对建议的方法进行了测试,并研究了根据节点距离的误差趋势。另外,使用球形头部模型解决了脑电图正向问题。提出的混合方法可以产生近似的解。

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