Higher-order, large-domain electromagnetic simulations are presented based on the finite element method (FEM), method of moments (MoM), and physical optics (PO). The simulations combine higher order geometrical modeling and higher order field/current modeling, which is referred to as double-higher-order modeling. The examples demonstrate that accurate and efficient FEM, MoM, and PO simulations ...

A novel element with arbitrary domain shape by using decoupled scaled boundary finite element (DSBFEM) is proposed for eigenvalue analysis of 2D vibrating rods with different boundary conditions. Within the proposed element scheme, the mode shapes of vibrating rods with variable boundary conditions are modelled and results are plotted. All possible conditions for the rods ends are incorporated ...

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...