We develop LNG FEM, a software package for graded mesh generation and for solving elliptic equations. LNG FEM generates user-specified graded meshes on arbitrary two-dimensional domains with straight edges, for different boundary conditions, once initial information is passed to the program by appropriately filling out some source files. We focus on a detailed instruction on the implementation ...

Polynomial extensions play a vital role in the analysis of the p and h-p FEM and the spectral element method. We construct explicitly polynomial extensions on standard elements: cubes, triangular prisms and pyramids, which together with the extension on tetrahedrons are used by the p and h-p FEM in three dimensions. These extensions are proved to be stable and compatible with FEM subspaces on t...

A. Śliwa, M. Bonek, Silesian University of Technology, Institute of Engineering Materials and Biomaterials, Gliwice, Poland Investigations include FEM simulation model of alloying the PMHSS6-5-3 steel surface layer with the carbides and ceramic powders, especially WC, VC, TiC, SiC, Si3N4 and Al2O3 particles using the high power diode laser (HPDL). The FEM computations were performed using ANSYS...

1. Abstract This paper introduces h-Adaptive eXtended Finite Element Method (X-FEM) which is used for level set based structural optimization. Compared to X-FEM with uniform meshes, meshes of h-adaptive X-FEM are adequately adjusted so that meshes of higher resolution at the vicinity of the structural boundaries while meshes of relatively lower resolution in the regions far away from boundaries...

in this study, focuses on applying the hp-version for forward modeling. the eit forward solver is normally based on the conventional finite element method (hfem). in h-fem, the polynomial order p of the element shape functions is constant and the element size h, is decreased. to accurately simulate the forward solution with the hfem, a mesh with large number of nodes and elements is usually need...

This paper presents an approach which is based on the use of supervised feed forward neural network, namely multilayer perceptron (MLP) neural network and finite element method (FEM) to solve the inverse problem of parameters identification. The approach is used to identify unknown parameters of ferromagnetic materials. The methodology used in this study consists in the simulation of a large nu...

This paper introduces a new weak Galerkin (WG) finite element method for second order elliptic equations on polytopal meshes. This method, called WG-FEM, is designed by using a discrete weak gradient operator applied to discontinuous piecewise polynomials on finite element partitions of arbitrary polytopes with certain shape regularity. The paper explains how the numerical schemes are designed ...

This work demonstrates with numerical simulations, the feasibility of a wide frequency range and high pressure level piezoresistive microphone based on MEMS technology. An accurate lumped-element model was used to optimize the microphone dynamic response. Mechanical lumped parameters were extracted from structural finite element method (FEM) simulations, while squeeze film fluid parameters were...

Uncertainty modeling applied at different stages of the virtual prototyping process enhances the quality of the of the design in terms of physical validity. The Fuzzy FEM is a widely accepted numerical simulation tool to model imprecise data in early design stages. The Interval FEM, which forms the basis of the Fuzzy FEM, is based on the interval arithmetic approach or on black-box approaches s...

The paper discusses the application of the Wave Based Method (WBM) for the steady-state acoustic response prediction of a car cavity up towards the mid-frequency range. After explaining the need for new prediction tools, the mathematical background of the WBM is given. The prediction results are compared with the results obtained by the Finite Element Method (FEM). For validation purposes, both...