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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

SIAM Journal on Numerical Analysis, Vol. 54, No. 2 (2016), pp. 1193-1228 (36 pages) In this paper we propose and study a finite element method for a curlcurl-graddiv eigenvalue interface problem. Its ...