$$\begin{align*} -\Delta \mathbf{u} + \nabla p &= \mathbf{f},\quad \mathrm{in\ } \Omega\\\ \nabla \cdot \mathbf{u} &= 0,\quad \mathrm{in\ } \Omega\\\ \mathbf{u ...

Abstract: We present our results regarding the modeling and simulation of nano-photonic elements using Discontinuous Galerkin Finite-Element techniques. Just like ordinary finite-element approaches, ...

Abstract: The discontinuous Galerkin finite element method (DGM) is a promising algorithm for modelling wave propagation in fractured media. It allows for discontinuities in the displacement field to ...

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 ...

ABSTRACT: The quasi-static explicit finite element method (FEM) and element free Galerkin (EFG) method are applied to trace the post-buckling equilibrium path of thin-walled members in this paper. The ...

PolyDEAL is an open source library which aims to provide building blocks for the developement of Polytopal Discontinuous Galerkin methods, using the Finite Element library deal.II in 2D and 3D. It is ...