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 ...

In this paper, we consider lower order rectangular finite element methods for the singularly perturbed Stokes problem. The model problem reduces to a linear Stokes problem when the perturbation ...

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 ...

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 ...

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 ...

Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...

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 ...