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 ...

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 ...

SIAM Journal on Numerical Analysis, Vol. 38, No. 3 (2001), pp. 770-798 (29 pages) The lowest order Raviart-Thomas rectangular element is considered for solving the singular perturbation problem -div(a ...

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 ...

Uniform $\mathscr{O}(h^2)$ convergence is proved for the El-Mistikawy-Werle discretization of the problem $-\varepsilon u'' + au' + bu = f$ on (0, 1), $u(0) = A, u(1 ...

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 ...