A Trilinear Immersed Finite Element Method for Solving the Electroencephalography Forward Problem

Authors:
Sylvain Vallaghé;Théodore Papadopoulo
Affiliations:
Sylvain.Vallaghe@gmail.com and papadop@sophia.inria.fr;-
Venue:
SIAM Journal on Scientific Computing
Year:
2010

Citing 6
Cited 1

Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Journal of Computational Physics
Special finite element methods for a class of second order elliptic problems with rough coefficients

SIAM Journal on Numerical Analysis
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources

SIAM Journal on Numerical Analysis
The immersed interface method using a finite element formulation

Applied Numerical Mathematics
Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models

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

Applied Numerical Mathematics

Linear and bilinear immersed finite elements for planar elasticity interface problems

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

This article describes a trilinear immersed finite element method for solving the electroencephalography forward problem, which is a three-dimensional elliptic interface problem in the head geometry. The method uses hexahedral Cartesian meshes independent of the interfaces between head tissues, thus avoiding the sometimes difficult task of generating geometry fitting meshes. The interfaces are represented with level sets, and the finite element space is locally modified to better approximate the discontinuities of the solution. Numerical results show that this method achieves the same accuracy as the standard linear finite element method with geometry fitting mesh.