We reformulate the discretization of the Johnson–Nedelec method [11] of coupling boundary elements and finite elements for an exterior bidimensional Laplacian. This new formulation leads to optimal error estimates and allows the use of simple quadrature formulas for calculation of the boundary element matrix. We show that if the parameter of discretization is sufficiently small, the fully discr...

The scaled boundary finite element method (SBFEM) is capable of generating polyhedral elements with an arbitrary number surfaces. This salient feature significantly alleviates the meshing burden being a bottleneck in analysis pipeline standard (FEM). In this paper, we implement based on SBFEM into commercial software ABAQUS. To end, user are provided through subroutine UEL. Detailed explanation...

This paper deals with the coupled procedure of the boundary element method (BEM) and the finite element method (FEM) for the exterior boundary value problems for the Helmholtz equation. A circle is selected as the common boundary on which the integral equation is set up with Fourier expansion. As a result, the exterior problems are transformed into nonlocal boundary value problems in a bounded ...

In this work we study the numerical solution of the Dirichlet problem for the Stokes equation by overlapping boundary and finite elements. The domain where we state our problem is the intersection of a polyhedron with the exterior of a strictly contained obstacle with smooth boundary. The solution is then decoupled as a sum of an incident flow, defined on the polyhedron domain plus the response...

In this paper, we describe a new hybrid method which combines the boundary element method (BEM) and the nite element method (FEM) to calculate the circuit models for layout dependent capacitances in VLSI circuits. The hybrid method which we present does more than solving a particular eld problem, it produces a good physical circuit model for the interface between the regions where the BEM and t...

The vector Boundary Element Method (vBEM) is used for the calculation of a matrix that links the tangential components of the current density on the cortical and scalp surface. This so-called transfer matrix is compared to the transfer matrix that links the potential distribution on both surfaces. Forward and inverse calculations are performed to evaluate both types of transfer matrices. Keywor...

A Regular Indirect Boundary Element formulation is developed following a weighted residual approach. In this formulation, the fictitious source density, which appears in the integral equations of the method, is distributed on a surface which is exteriorly separated from the physical field boundary of the problem. This approach does not require the evaluation of singular integrals and produces u...