The finite element methods (FEM) are important techniques in engineering for solving partial differential equations, but they depend heavily on element shape quality for stability and good performance. In this paper, we introduce the Adaptive Extended Stencil Finite Element Method (AES-FEM) as a means for overcoming this dependence on element shape quality. Our method replaces the traditional b...

The use of the Finite Element Method (FE) is an appropriate way to study occlusal forces and tooth movement. The purpose of this study was to evaluate the effects of different occlusal contact patterns on tooth displacement in an adult dentition using a three-dimensional FE model of a human maxilla and mandible. Initially, images of a computerized tomography scan were redrawn in a computer prog...

Transition metal fluorides (such as FeF3 or CoF2) promise significantly higher theoretical capacities (>571 mAh g(-1)) than the cathode materials currently used in Li-ion batteries. However, their practical application faces major challenges that include poor electrochemical reversibility induced by the repeated bond-breaking and formation and the accompanied volume changes and the difficulty o...

In the context of substrate resistance modeling a combined BEM/FEM method is compared to a 3DFEM method. The combined BEM/FEM method is applicable in substrate modeling problems which involve layout-dependent doping patterns for which a standalone BEM would not be accurate enough and for which a standalone FEM would be too slow. The method captures local couplings within the doping pattern with...

1. Background/Problem In real-time surgery simulation and planning, the Finite Element Method (FEM) is often used to simulate small and large deformation of human tissue for applications such as laparoscopy training [4], needle insertion planning [1], and image registration [2]. In using FEM, assumptions must be made about material properties and the scale of deformation of human tissues in and...

Updating the structural model of complex structures is time-consuming due to the large size of the finite element model (FEM). Using conventional methods for these cases is computationally expensive or even impossible. A two-level method, which combined the Kriging predictor and the component mode synthesis (CMS) technique, was proposed to ensure the successful implementing of FEM updating of l...

A node-based smoothed finite element method (NS-FEM-T3) using triangular elements and a n-sided polygonal edge-based smoothed FEM (nES-FEM) using polygonal elements is combined to give the smoothed coupled NS/nES-FEM for dynamic analysis of twodimensional (2D) fluid–solid interaction problems based on the pressure–displacement formulation. In the present method, the NS-FEM-T3 is used for the fl...

A 3-D finite element method (FEM) formulation for the prediction of unknown boundary conditions in linear steady thermoelastic continuum problems is presented. The present FEM formulation is capable of determining displacements, surface stresses, temperatures, and heat fluxes on the boundaries where such quantities are unknown or inaccessible, provided such quantities are sufficiently over-spec...

In this paper, we first review the impact of the powerful finite element method (FEM) in structural engineering, and then address the shortcomings of FEM as a tool for riskbased decision making and incomplete-data-based failure analysis. To illustrate the main shortcoming of FEM, i.e., the computational results are point estimates based on “deterministic” models with equations containing mean v...

In this study, a hp-version of Finite Element Method (FEM) was applied for forward modeling in image reconstruction of Electrical Impedance Tomography (EIT). The EIT forward solver is normally based on the conventional Finite Element Method (h-FEM). In h-FEM, the polynomial order (p) of the element shape functions is constant and the element size (h) is decreasing. To have an accurate simulatio...