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 ...

This paper presents a novel approach for simulating 3D muscle deformations with complex architectures. The approach consists in choosing the best model formulation in terms of computation cost and accuracy, that mixes a volumetric-tissue model based on finite element method (3D FEM), a muscle fiber model (Hill contractile 1D element) and a membrane model accounting for aponeurosis tissue (2D FE...

The first part of our paper presents a composite programmable graph grammar model for the self-adaptive two dimensional hp Finite Element Method algorithms (2D hp-FEM) with mixed triangular and rectangular finite elements. The two dimensional model is a starting point for the three dimensional model of self-adaptive hp-FEM presented in the second part of this paper. A computational mesh is repr...

An implementation of a parallel 2D Lagrangian{Eulerian model solving the shallow water and salinity transport equations on a massively parallel Multiple Instruction Multiple Data (MIMD) machine (nCUBE 2) is presented. Operator splitting in the basic equations leads to a coupling of the Method of Characteristics with the Finite-Element Method (FEM). The set of linear equations in the FEM are sol...

Consider the Poisson equation −∆u = f in a planar exterior domain of a bounded domain O. Assume that f = 0 in the outside of a disc with sufficiently large diameter. The solution u is assumed to be bounded at infinity. Discretizing the problem, we employ the finite element method (FEM, in short) inside the disc, and the charge simulation method (CSM, in short) outside the disc. A result of math...

Article history: Received: 5.1.2016. Received in revised form: 15.3.2016. Accepted: 15.3.2016. With finite element method (FEM) using ANSYS finite element (FE) package, an electromagneticstructural simulation model is introduced for the switched reluctance motor (SRM). Since the main reason of noise and vibration in the SRM is a radial force applied to stator poles, the 2D FE transient analysis...

Finite element method (FEM) is a fundamental numerical analysis technique widely used in engineering applications. Although state-ofthe-art hardware has reduced the solving time, which accounts for a small portion of the overall FEM analysis time, the relative time needed to build mesh models has been increasing. In particular, mesh models that must model stiffeners, those features that are att...

Real-time simulation and animation of global deformation of 3D objects, using finite element method (FEM), is difficult due to the following 3 fundamental problems: (1) The linear elastic model is inappropriate for simulating large motion and large deformations (unacceptable distortion will occur); (2) The time step for dynamic integration has to be drastically reduced to simulate collisions; (...

Active cooling technologies such as heat pipes, loop heat pipes (LHPs), thermosyphons, loop thermosyphons (LTSs), and pumped singleor two-phase coolant loops require specialized modeling treatment. However, these 1D ducted systems are largely overlooked in 3D thermal modeling tools. The increasing popularity of CFD and FEM models and generation of analysis data from 3D CAD data are strong trend...

A new nite element method for elliptic problems with locally periodic microstructure of length " > 0 is developed and analyzed. It is shown that the method converges, as " ! 0, to the solution of the homogenized problem with optimal order in " and exponentially in the number of degrees of freedom independent of " > 0. The computational work of the method is bounded independently of ". Numerical...