Technical Terms Finite Element Method: A numerical technique that approximates solutions to partial differential equations by partitioning the domain into a finite number of simpler subdomains.

In this paper, we develop a new discontinuous Galerkin (DG) finite element method for solving time dependent partial differential equations (PDEs) with higher order spatial derivatives. Unlike the ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Tze-Chien Sun, A Finite Element Method for Random Differential Equations with Random Coefficients, SIAM Journal on Numerical Analysis, Vol. 16, No. 6 (Dec., 1979), pp. 1019-1035 ...

Mathematicians have developed numerical techniques such as finite difference or finite-element methods to solve more complex PDEs. However, these numerical techniques require a lot of conventional ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

The finite element method (FEM) has evolved into a robust and flexible tool for solving partial differential equations (PDEs) defined on surfaces.