Name
Title | ||
|---|---|---|
A 3D Vector-Additive Iterative Solver for the Anisotropic Inhomogeneous Poisson Equation in the Forward EEG problem |
Abstract | ||
|---|---|---|
We describe a novel 3D finite difference method for solving the anisotropic inhomogeneous Poisson equation based on a 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 up to one eighth of the total grid points in the initial computational domain. Some validation and numerical examples are given. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/978-3-642-01970-8_50 | ICCS (1) |
Keywords | Field | DocType |
13-point stencil,proposed multi-component additive algorithm,transparent domain,initial computational domain,anisotropic inhomogeneous poisson equation,multi-component additive implicit method,vector-additive iterative solver,forward eeg problem,efficient solvers,preconditioned conjugate gradient,numerical example,finite difference method,domain decomposition,poisson equation | Conjugate gradient method,Euclidean vector,Mathematical optimization,Poisson's equation,Mathematical analysis,Stencil,Finite difference method,Solver,Domain decomposition methods,Mathematics,Grid | Conference |
Volume | ISSN | Citations |
5544 | 0302-9743 | 4 |
PageRank | References | Authors |
0.46 | 2 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vasily Volkov | 1 | 735 | 65.85 |
| Aleksej Zherdetsky | 2 | 5 | 0.81 |
| Sergei Turovets | 3 | 35 | 6.71 |
| Allen Malony | 4 | 94 | 8.29 |