The symmetric BEM: bringing in more variables for better accuracy

The symmetric BEM: bringing in more variables for better accuracy

Electrophysiological modeling of Magnetoand Electro-encephalography (MEG and EEG) rely on accurate forward solvers that relate source activities to sensor measurements. In comparing a Boundary Element (BEM) and a Finite Element Method (FEM) for forward electroencephalography, in our early numerical experiments, we found the FEM to have a better accuracy than the BEM. This triggered a quest to i...

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

Symmetric BEM Formulation for the M/EEG Forward Problem

The forward M/EEG problem consists in simulating the electric potential and the magnetic field produced outside the head by currents in the brain related to neural activity. All previously proposed solutions using the Boundary Element Method (BEM) were based on a double-layer integral formulation. We have developed an alternative symmetric BEM formulation, achieving a significantly higher accur...

A Time - Domain Symmetric Galerkin BEM for Viscoelastodynamics

The numerical solution of elliptic or hyperbolic boundary value problems via the Boundary Element Method has a long tradition and is well developed nowadays. The two most popular discretization schemes of the underlying boundary integral equations are the Collocation method and the Galerkin method. While the first one has been adopted to both types of boundary value problems the latter one has ...

Bringing accuracy to PET reconstruction