Adaptive Structural Analysis Using Boundary Element Method.

A Regular Indirect Boundary Element Method for Thermal Analysis

A Regular Indirect Boundary Element Method for Thermal Analysis

Computer-aided Magnetic Field Analysis Using the Boundary Element Method

Efficient design of electromagnetic devices requires the analysis of electric and magnetic field distributions. To this end, the boundary element method (BEM) has been shown to be a powerful technique. This paper presents the use of BEM in computer-aided magnetic field analysis. The advantages of BEM over the finite element method (FEM) are stated. The recent introduction of BEM in a generalize...

Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method

For the simple layer potential V that is associated with the 3D Laplacian, we consider the weakly singular integral equation V φ = f . This equation is discretized by the lowest order Galerkin boundary element method. We prove convergence of an h-adaptive algorithm that is driven by a weighted residual error estimator. Moreover, we identify the approximation class for which the adaptive algorit...

Adaptive nite element–boundary element solution of boundary value problems

An adaptive nite element–boundary element algorithm is proposed to compute an approximate solution of a given boundary value problem. The convergence in H ( ) is controlled by a boundary element based a-posteriori error estimator from which an adaptive re nement strategy is derived. Corresponding error estimates are given based on appropriate boundary element error estimates in negative Sobolev...