An optimal finite element mesh for elastostatic structural analysis problems

An Optimal Finite Element Mesh for Linear Elastic

This paper investigates the adaptive solution of linear elastic structural analysis problems through re-positioning of the nite element nodal points (r-renement) using an approach known as the Moving Finite Element method. After a brief introduction to the Moving Finite Element method it is proved that this technique can yield optimal nite element solutions on optimal meshes in the energy norm ...

An Adaptive Finite Element Method for Nonlinear Optimal Control Problems

Finite Element Analysis of an Exponentially Graded Mesh for Singularly Perturbed Problems

We present the mathematical analysis for the convergence of an h version Finite Element Method (FEM) with piecewise polynomials of degree p ≥ 1, de ned on an exponentially graded mesh. The analysis is presented for a singularly perturbed reaction-di usion and a convection-di usion equation in one dimension. We prove convergence of optimal order and independent of the singular perturbation param...

An Object-Oriented Smartphone Application for Structural Finite Element Analysis

Smartphones are becoming increasingly ubiquitous both in general society and the workplace. Recent increases in mobile processing power have shown the current generation of smartphones has equivalent processing power to a supercomputer from the early 1990s. Many industries have abandoned desktop computing and are now entirely reliant on mobile devices. Given these facts it is logical that smart...

Fast Finite Element Method Using Multi-Step Mesh Process

This paper introduces a new method for accelerating current sluggish FEM and improving memory demand in FEM problems with high node resolution or bulky structures. Like most of the numerical methods, FEM results to a matrix equation which normally has huge dimension. Breaking the main matrix equation into several smaller size matrices, the solving procedure can be accelerated. For implementing ...