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...

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...

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...

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...

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...

In this paper we prove the L2 convergence rates for a fully discrete finite element procedure for approximating minimal, possibly unstable, surfaces. Originally this problem was studied by G. Dziuk and J. Hutchinson. First they provided convergence rates in the H1 and L2 norms for the boundary integral method. Subsequently they obtained the H1 convergence estimates using a fully discrete finite...

This paper analyzes the limits of applicability of the time domain surface impedance concept. Numerical results obtained by the boundary element formulation employing time domain surface impedance boundary conditions (SIBCs) of different orders of approximation are compared with experimental data and numerical results obtained using the finite element method. An analytical formula for evaluatio...

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...