SIAM Journal on Numerical Analysis, Vol. 35, No. 2 (Apr., 1998), pp. 560-571 (12 pages) A new mixed finite element method is formulated for the Stokes equations, in which the two components of the ...
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 ...
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 ...
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 ...
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 ...
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 ...
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