To explore the relationship between transcranial current stimulation (tCS) and the electroencephalography (EEG) forward problem, we investigate and compare accuracy and efficiency of a reciprocal and a direct EEG forward approach for dipolar primary current sources both based on the finite element method (FEM), namely the adjoint approach (AA) and the partial integration approach in conjunction...

Even when we look at stationary objects, involuntarily our eyes perform miniature movements and do not stand perfectly still. Such fixational eye movements (FEM) can be decomposed into at least two components: rapid microsaccades and slow (physiological) drift. Despite the general agreement that microsaccades have a central generating mechanism, the origin of drift is less clear. A direct appro...

This paper focuses on the study of the filament based lamellipodium model (FBLM) and the corresponding finite element method (FEM) from a numerical point of view. We study fundamental numerical properties of the FEM and justify the further use of the FBLM. We exhibit that the FEM satisfies a timestep stability condition that is consistent with the nature of the problem. We propose a particular ...

The finite element method (FEM) is a widely employed numerical technique for approximating the solution of partial differential equations (PDEs) in various science and engineering applications. Many of these applications benefit from fast execution of the FEM pipeline. One way to accelerate the FEM pipeline is by exploiting advances in modern computational hardware, such as the many-core stream...

In this paper we describe a hybrid element method which combines the boundary element method (BEM) and the finite element method (FEM) to calculate circuit models for layout dependent capacitances. The method can handle irregularities in the stratification of the layout of the integrated circuits (IC’s). We present a stand-alone extraction program which we developed for validation and testing p...

1. Abstract In this paper, we implement the extended finite element method (X-FEM) combined with the level set method to solve structural shape and topology optimization problems. Numerical comparisons with the conventional finite element method in a fixed grid show that the X-FEM leads to more accurate results without increasing the mesh density and the degrees of freedom. Furthermore, the mes...

A numerical implementation of the eXtended Finite Element Method (X-FEM) to analyze crack propagation in a structure under dynamic loading is presented in this paper. The arbitrary crack is treated by the X-FEM method without re-meshing but using an enrichment of the classical displacement-based finite element approximation in the framework of the partition of unity method. Several algorithms h...

The paper examines three selective schemes for the smoothed finite element method (SFEM) which was formulated by incorporating a cell-wise strain smoothing operation into the standard compatible finite element method (FEM). These selective SFEM schemes were formulated based on three selective integration FEM schemes with similar properties found between the number of smoothing cells in the SFEM...

Finite Element Method(FEM), which is based upon continuum mechanics and the physics of materials, is one of the most widely used deformation method in digital biomedical area. Unlike other light-weighted deformation models (Mass-Spring, Free Form, Chainmail, BEM, etc)using in other areas, FEM gets the most accurate deforming results in the cost of large scale of computation. In this paper, we p...

The wave based method (WBM) is considered for the steady-state dynamic analysis of acoustic problems as an alternative for the finite element method (FEM). The WBM exhibits better convergence properties with respect to model sizes, but the computation (CPU) times obtained by the current MATLAB implementation are large compared to commercially available FEM codes. Recently, a high performance FO...