Finite element methods (FEM) have emerged as a pivotal class of numerical techniques for solving the Navier–Stokes equations, the mathematical foundation for modelling fluid flow. These methods ...

SIAM Journal on Numerical Analysis, Vol. 44, No. 6 (2006), pp. 2408-2431 (24 pages) The symmetric interior penalty discontinuous Galerkin finite element method is presented for the numerical ...

Finite Element Methods (FEM) have emerged as a pivotal computational tool in the simulation of incompressible flows and the Navier-Stokes equations. By discretising the domain, these techniques offer ...

This is a preview. Log in through your library . Abstract A finite element method is derived for solving equations of the following type $-(p(x)u'(x, \omega))' + (q(x ...

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 ...

Artificial intelligence (AI) is increasingly transforming computational mechanics, yet many AI-driven models remain limited by poor interpretability, ...