Abstract We define and analyze hybridizable discontinuous Galerkin methods for the Laplace-Beltrami problem on implicitly defined surfaces. We show that the methods can retain the same convergence and ...

Discontinuous Petrov-Galerkin (DPG) methods have emerged as a robust class of finite element techniques designed to enhance stability and accuracy in numerical simulations. By employing discontinuous ...

The discontinuous Galerkin finite element method (DGFEM) for the time discretization of parabolic problems is analyzed in the context of the hp-version of the ...

Discontinuous Galerkin methods represent a powerful and flexible class of finite element techniques that have gained prominence in the simulation of wave propagation phenomena governed by the ...

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 ...