Accuracy and run-time comparison for different potential approaches and iterative solvers in finite element method based EEG source analysis

DOI10.1016/j.apnum.2009.02.006zbMath1165.92029OpenAlexW2113685459WikidataQ41832675 ScholiaQ41832675MaRDI QIDQ1030681

J. Blot

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc2791331

zbMATH Keywords

finite element methodpreconditioned conjugate gradient methodelectroencephalographyconstrained Delaunay tetrahedralizationsource reconstructionJacobi preconditioneralgebraic multi-grid preconditioneranisotropic four-layer sphere modeldipole singularityfull subtraction potential approachincomplete Cholesky preconditionerpartial integration potential approachVenant potential approach

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

A posteriori error estimates for the problem of electrostatics with a dipole source ⋮ A computational investigation of preconditioning strategies and iterative methods for finite element based neurostimulation simulations ⋮ Solving an electrostatics-like problem with a current dipole source by means of the duality method ⋮ Review on mathematical modelling of electroencephalography (EEG)

Uses Software

• TetGen
• Simbio

Cites Work

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• Zur Methode der finiten Elemente
• Applications of multilevel methods to practical problems
• Iterative solution of large sparse systems of equations. Transl. from the German
• Adaptive tetrahedral mesh generation by constrained Delaunay refinement
• Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models
• Parallel Algebraic Multigrid Methods on Distributed Memory Computers
• Efficient computation of lead field bases and influence matrix for the FEM-based EEG and MEG inverse problem
• Cache Issues of Algebraic Multigrid Methods for Linear Systems with Multiple Right-Hand Sides

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