Abstract A Problem Solving Environment for the finite element method (FEM-PSE) is an application system to support users pursuing a career in the finite element analysis (FEA). There are two types of users associated with the FEA. One is analysis-user who uses application software of the FEM and the other is development-user who develops application software of the FEM. We used an abstraction t...

Finite size scaling for the Schrödinger equation is a systematic approach to calculate the quantum critical parameters for a given Hamiltonian. This approach has been shown to give very accurate results for critical parameters by using a systematic expansion with global basis-type functions. Recently, the finite-element method was shown to be a powerful numerical method for ab initio electronic...

A nonlinear formulation of the Meshless Local Petrov-Galerkin (MLPG) finite-volume mixed method is developed for the large deformation analysis of static and dynamic problems. In the present MLPG large deformation formulation, the velocity gradients are interpolated independently, to avoid the time consuming differentiations of the shape functions at all integration points. The nodal values of ...

This article provides a review of the achievements and advancements in dental technology brought about by computer-aided design and the all powerful finite element method (FEM) of analysis. The scope of the review covers dental implants, jawbone surrounding the implant and the biomechanical implant and jawbone interaction. Prevailing assumptions made in the published finite element analysis (FE...

A program to automate the finite element method (FEM) using various soft-computing techniques is presented. The overall program is discussed, and the implementations of three specific sub-problems (mesh placement, node numbering, and adaptive meshing) are described. It is also argued that the overall architecture of an “intelligent finite element package” can serve as a “test-bed” for many soft...

This paper presents an overview on applications of hybrid finite element method to thermal analysis of heterogeneous materials. Recent developments on the hybrid fundamental solution based finite element model (FEM) of heat transfer in nonlinear functionally graded materials (FGMs) and composite materials are described. Formulations for all cases are derived by means of modified variational fun...

In this paper, a generalized particle system (GPS) method, a general method to describe multiple strong form representation based particle methods is described. Gradient, divergence, and Laplacian operators used in various strong form based particle method such as moving particle semi-implicit (MPS) method, smooth particle hydrodynamics (SPH), and peridynamics, can be described by the GPS metho...

We have recently introduced the Boundary Element Tearing and Interconnecting (BETI) methods as boundary element counterparts of the wellestablished Finite Element Tearing and Interconnecting (FETI) methods. Since Finite Element Methods (FEM) and Boundary Element Methods (BEM) have certain complementary properties, it is sometimes very useful to couple these discretization techniques and to bene...

The anisotropic and active properties of the perfectly matched layer (PML) absorbers significantly deteriorate the finite-element method (FEM) system condition and as a result, convergence of the iterative solver is substantially affected. To address this issue, we examine the generalized minimal residual (GMRES) solver for solving finite-element systems terminated with PML. A strong approximat...