One challenge to predict output performance characteristics of switched reluctance machines (SRM) is the accurate estimation of the minimum inductance of the stator phase at unaligned position of the rotor. In this paper, boundary element method (BEM) is used for this purpose while avoiding time-consuming numerical integrations. So, the method is investigated in terms of accuracy and computatio...

In the last ten years we have seen fast development in the computational methods used in all fields of engineering. The possibility of getting rapid and accurate models of High Voltage (H.V.) Switchgear can reduce considerably the high cost of development testing. In this paper the Boundary Element Method (BEM) is discussed from an industrial user point of view. First we analyse the advantages ...

Polygonal meshes show up in more and more applications and the BEMbased Finite Element Method turned out to be a forward-looking approach. The method uses implicitly defined trial functions, which are treated locally by means of Boundary Element Methods (BEM). Due to this choice the BEM-based FEM is applicable on a variety of meshes including hanging nodes. The aim of this presentation is to gi...

A hybrid finite element method/boundary element method (FEM/BEM) is a standard approach for calculating the magnetostatic potential within Micromagnetics [1]. This involves dealing with a dense N ×N -matrix Bij , N being the number of mesh surface nodes. In order to apply the method to ferromagnetic structures with a large surface one needs to apply matrix compression techniques on Bij . An eff...

We consider time-harmonic scattering by penetrable polygonal obstacles in 2D. We present a boundary element method (BEM) based on a hybrid numerical-asymptotic (HNA) approximation space built from oscillatory basis functions. The basis functions are carefully chosen to capture the leading order terms in the highfrequency asymptotic behaviour of the boundary solution. Numerical experiments sugge...

The BEM-based finite element method is reviewed and extended with higher order basis functions on general polygonal meshes. These functions are defined implicitly as local solutions of the underlying homogeneous problem with constant coefficients. They are treated by means of boundary integral formulations and are approximated using the boundary element method in the numerics. To obtain higher ...

In the context of the adaptive finite element method (FEM), ZZ-error estimators named after Zienkiewicz and Zhu (1987) [52] are mathematically well-established and widely used in practice. In this work, we propose and analyze ZZ-type error estimators for the adaptive boundary element method (BEM). We consider weakly singular and hyper-singular integral equations and prove, in particular, conver...

We present a hybrid boundary element method (BEM)/Brownian dynamics (BD) algorithm for simulating DNA electrophoresis in an inhomogeneous electric field. The accuracy of the method is demonstrated by studying the collision with a finitesized cylindrical post, where the exact solution of the electric field is known.

In the analysis of an acoustic radiation mode of a baffled plate, Rayleigh integral with free space Green’s function is involved. The boundary element method (BEM) is one of the approaches to compute its modes and radiation efficiencies. In this paper a fast multipole BEM in conjunction with an iterative solver based on the implicit restart Arnold method is proposed to efficiently and accuratel...