In present-day IC’s, substrate noise can have a significant impact on performance. Thus, modeling the noise-propagation characteristics of the substrate is becoming ever more important. Two ways of obtaining such a model are the Finite Element Method (FEM) and the Boundary Element Method (BEM). The FEM makes a full 3D discretization of the entire substrate and is very accurate and flexible, but...

The Boundary Element Method (BEM) is a well-established numerical method for simulation of physical phenomena including structural, fluid flow and heat transfer analysis. It is particularly interesting in electromagnetics because of its handling of open region problems and its accuracy in computing the fields where gradients are high. Classical BEM, however, does not inherently contain a facili...

Preconditioned iterative solution methods are compared with the direct Gaussian elimination method to solve dense linear systems Ax = b which originate from crack propagation problems, modeled and discretized by boundary element (BEM) techniques. Numerical experiments are presented and compared with the direct solution method available in a commercial BEM package. The experiments show that the ...

The objective is to construct and discretize (to fourth-order accuracy) a hybrid model for waveguide problems, where a finite difference method for inhomogeneous layers is coupled to a boundary element method (BEM) for a set of homogeneous layers. Such a hybrid model is adequate for underwater acoustics in complicated environments. Waveguides with either plane or axial symmetry are treated, whi...

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...

Some recent developments in the modeling of composite materials using the boundary element method (BEM) are presented in this paper. The boundary integral equation for 3D multi-domain elasticity problems is reviewed. Difficulties in dealing with nearly-singular integrals, which arise in the BEM modeling of composite materials with closely packed fillers or of thin films, are discussed. New and ...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In both the real variable and Complex Variable Boundary Element Methods (CVBEM), nodal points are typically ...

The boundary element method (BEM) for linear elasticity in its curent usage is based on the boundary integral equation for displacements. The stress field in the interior of the body is computed by differentiating the displacement field at the source point in the BEM formulation, via the strain field. However, at the boundary, this method gives rise to a hypersingular integral relation which be...

The Galerkin boundary element discretisations of the electric eld integral equation (EFIE) on Lipschitz polyhedral surfaces su er slow convergence rates when the underlying surface meshes are quasi-uniform and shape-regular. This is due to singular behaviour of the solution to this problem in neighbourhoods of vertices and edges of the surface. Aiming to improve convergence rates of the Galerki...