This paper presents the results of numerical modeling using the finite element method of three implants. Geometric models of individual parts of the analyzed system (implant, abutment and screw) and the standard models of the bone and the crown were built in the Ideas NX environment. On the basis of real geometric models the fully three-dimensional numerical models were built. The calculations ...

We present a finite-element simulation tool for calculating light fields in 3D nano-optical devices. This allows to solve challenging problems on a standard personal computer. We present solutions to eigenvalue problems, like Bloch-type eigenvalues in photonic crystals and photonic crystal waveguides, and to scattering problems, like the transmission through finite photonic crystals. The discre...

When calculating the state of stress in a structure caused by relative strain of landscape which is a result of undermining, the structure is often deformed in order to create the specific situation. Each part of the structure resists the strain in a difference way. This depends on places where the structure is in contact with soil environment. When calculating the 3D foundation structures by m...

Flow configurations in the low-Mach number regime usually lead locally to large gradients in the velocity field as well as in the temperature variable. Such structures including boundary layers are typical in the study of e.g. heat transfer problems or more generally in situations where compression effects are mainly due to thermodynamical effects (see e.g. [1]). We propose a method based on hp...

The Gauge-Uzawa FEM is a new first order fully discrete projection method which combines advantages of both the Gauge and Uzawa methods within a variational framework. A time step consists of a sequence of d+1 Poisson problems, d being the space dimension, thereby avoiding both the incompressibility constraint as well as dealing with boundary tangential derivatives as in the Gauge Method. This ...

A 3D parallel overlapping scheme for viscous incompressible flow problems is presented that combines the finite element method, which is best suited for analysing flow in any arbitrarily shaped flow geometry, with the finite difference method, which is advantageous in terms of both computing time and computer storage. A modified ABMAC method is used as the solution algorithm, to which a sophist...

Use of a thermoelectric component (TEC) for an LED module cooling will be studied. The issue will be approached by revealing the operation of a thermoelectric component known also as Peltier element, and the main equations describing its behaviour. An experimental setup including an LED module, a TEC, an heatsink and a fan will be build. Heat dissipation and the electrical performance measureme...

In this paper we present a parallel algorithm of the goal-oriented self-adaptive hp Finite Element Method (hp-FEM) with shared data structures and with parallel multi-frontal direct solver. The algorithm generates in a fully automatic mode (without any user interaction) a sequence of meshes delivering exponential convergence of the prescribed quantity of interest with respect to the mesh size (...