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iLU Preconditioning of the Anisotropic-Finite-Difference Based Solution for the EEG Forward Problem

机译:脑电正向问题基于各向异性有限差分法的iLU预处理

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We investigate the use of the iLU preconditioning within the framework of the Anisotropic-Finite-Difference based Solution for the EEG Forward Problem. Provided the minimal error of representation, comparison of the convergence rate and computational cost is carried out for several competitive numerical solver combinations. From the testing on real data, we obtain that combination of the biconjugate gradient solver and incomplete LU factorization results in a numerical solution that outperforms the other considered approaches in terms of accuracy and computational cost. We validate this numerical solution combination against analytical spherical mode. Also, testing on realistic head models (with high anisotropic areas and heterogeneous tissue conductivities) shows high accuracy and low computational cost.
机译:我们研究了在基于各向异性-有限差分的EEG正向问题解决方案的框架内使用iLU预处理的情况。在最小表示误差的情况下,对几种竞争性数值求解器组合进行了收敛速度和计算成本的比较。从对实际数据的测试中,我们获得了双共轭梯度求解器和不完全LU分解的组合产生的数值解决方案在准确性和计算成本方面优于其他考虑的方法。我们针对解析球形模式验证了此数值解组合。而且,在现实的头部模型(具有高各向异性区域和异质组织电导率)上进行测试显示出高精度和低计算量。

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