A 3D Vector-Additive Iterative Solver for the Anisotropic Inhomogeneous Poisson Equation in the Forward EEG problem

被引:0
|
作者
Volkov, Vasily [1 ]
Zherdetsky, Aleksei [1 ]
Turovets, Sergei [2 ]
Malony, Allen [2 ]
机构
[1] Belarusian State Univ, Dept Math & Mech, 4 Independence Ave, Minsk 220050, BELARUS
[2] Univ Oregon, NeuroInformat Ctr, Eugene, OR 97403 USA
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中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We describe a novel 3D finite difference method for solving the anisotropic inhomogeneous Poisson equation based on it multi-component additive implicit method with a 13-point stencil. The serial performance is found to be comparable to the most efficient solvers from the family of preconditioned conjugate gradient (PCG) algorithms. The proposed multi-component additive algorithm is unconditionally stable in 3D and amenable for transparent domain decomposition parallelization Lip to one eighth of the total grid points in the initial computational domain. Some validation and numerical examples are given.
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页码:511 / +
页数:3
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