SIAM Journal on Applied Mathematics, Vol. 70, No. 4 (2009), pp. 1305-1329 (25 pages) A set of equilibrium equations for a biphasic polymer gel are considered with the end purpose of studying stress ...

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 ...

Finite element modelling is widely used in industry to solve an endless number of practical problems, often involving non-linearity and dynamic loading. This module will teach how to robustly develop ...

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 ...

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 ...

This is a preview. Log in through your library . Abstract In this work we study the stability and the convergence rates of the finite element approximation of elliptic problems involving Dirac ...

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 ...