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 ...

Adaptive finite element methods (AFEM) represent a pivotal advancement in numerical analysis by dynamically refining computational meshes to achieve greater solution accuracy. These methods are ...

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 ...

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.

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 ...

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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 ...