Keywords: Rotating Navier–Stokes equations Exterior domain Boundary integral method Finite element approximation a b s t r a c t In this paper, we apply the boundary integral method to the linearized rotating Navier– Stokes equations in exterior domain. Introducing some open ball which decomposes the exterior domain into a finite domain and an infinite domain, we obtain a coupled problem by the...

The convergence analysis of multigrid methods for boundary element equations arising from negative-order pseudo-differential operators is quite different from the usual finite element multigrid analysis for elliptic partial differential equations. In this paper, we study the convergence of geometric multigrid methods for solving large-scale, data-sparse boundary element equations arising from t...

In this paper, the focused wave and current interaction with a moored JIP Spar platform are investigated using a time-domain higher order boundary element method (THOBEM). Embodied by a linear superposition of finite cosine waves, the focused wave can be efficiently simulated through adjusting the initial phase of cosine wave and adding corrected wave. The finite element method is used to simul...

In this paper we present a new a posteriori error estimate for the boundary element method applied to an integral equation of the first kind. The estimate is local and sharp for quasi-uniform meshes and so improves earlier work of ours. The mesh-dependence of the constants is analyzed and shown to be weaker than expected from our previous work. Besides the Galerkin boundary element method, the ...

Electrical machines commonly consist of moving and stationary parts. The field simulation of such devices can be very demanding if the underlying numerical scheme is solely based on a domain discretization, such as in case of the Finite Element Method (FEM). Here, a coupling scheme based on FEM together with Boundary Element Methods (BEM) is presented that neither hinges on re-meshing technique...

In several problems of interest in computational modeling there is a media that is either infinite or semi-infinite. Some examples include: modeling the ocean when doing ship analysis, modeling the soil underneath a footing, and modeling the air around an airplane. However, every finite element model must be terminated at some finite boundary. Unfortunately, for problems involving wave propagat...

Recently, a refined finite element analysis for highly indefinite Helmholtz problems was introduced by the second author. We generalise the analysis to the Galerkin method applied to an abstract, highly indefinite variational problem. In the refined analysis, the condition for stability and a quasi-optimal error estimate is expressed in terms of approximation properties T (S) ≈ S and T (u + S) ...

The paper presents the results of research on the effectiveness of the PIES method developed by the authors, applied to modeling and solving complex 3D problems of elasticity. The results were compared with those obtained using classical element methods FEM and BEM. For the calculation in mentioned methods we have used professional programs ANSYS (FEM), BEASY (BEM) and our own software in the c...

Accurate and eecient extraction of parasitic resistance is gaining more and more importance to achieve a high-speed high-performance digital system. In this paper , we proposed a superconvergence accelerated boundary element method (SA-BEM) to calculate parasitic resistances. Experimental results show that the SA-BEM can achieve up to two orders of magnitude speed up over the traditional BEM an...

This paper describes the application of a two-parameters crack growth model, based on the usage of two threshold material parameters (DKth and Kmax,th) and on the allowance for residual stresses, introduced at the crack tip by a fatigue load spectrum or by material plastic deformations. The coupled usage of finite element method (FEM) and dual boundary element method (DBEM) is proposed in order...