One of the common classes of equations that is encountered in several branches of science is partial differential equations. So in this article, I look at a software package called FreeFem++ that is ...

Course Description: This course provides a practical introduction to the Finite Element Method (FEM), with an emphasis on hands-on implementation using Python. It covers the basic theoretical concepts ...

Optimal control problems are mathematical formulations used to determine control strategies that yield a desired outcome while minimising a prescribed cost function. In many applications, these ...

The finite element method is a powerful numerical technique that is used in all major engineering industries - in this video we'll explore how it works. We'll look at why it's useful to split the body ...

The Helmholtz equation is a fundamental partial differential equation that underpins the analysis of wave propagation, acoustic scattering and electromagnetic phenomena. Its numerical solution is ...

Mathematics of Computation, Vol. 59, No. 200 (Oct., 1992), pp. 383-401 (19 pages) In this paper a new explicit finite element method for numerically solving the drift-diffusion semiconductor device ...

This is a preview. Log in through your library . Abstract We discuss a moving finite element method for solving vector systems of time dependent partial differential equations in one space dimension.

Methods for treating material and geometric nonlinearities by finite elements; transient analysis: explicit and implicit time integration, partitioned methods, and stability; hybrid and mixed elements ...

Professor of Mechanics, Washington University, St. Louis, Mo. It's easy to construct finite-element models with errors. And it's just as easy to correct them, when you know how. The first step in a ...

Using novel theoretical and modeling tools such as finite element analysis can greatly accelerate widespread applications in many areas of nanotechnology. Polymer reinforcement using fillers is a ...