In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an
attractive approach for numerical simulations of compressible flows. This paper presents an …

This paper presents an overview of the functionalities and applications of Exasim, an open-
source code for generating high-order discontinuous Galerkin codes to numerically solve …

We introduce an adaptive viscosity regularization approach for the numerical solution of
systems of nonlinear conservation laws with shock waves. The approach seeks to solve a …

High-order spectral element methods (SEM) for large-eddy simulation (LES) are still very
limited in industry. One of the main reasons behind this is the lack of robustness of SEM for …

We present an optimal transport approach for mesh adaptivity and shock capturing of
compressible flows. Shock capturing is based on a viscosity regularization of the governing …

This paper presents HDGlab, an open source MATLAB implementation of the hybridisable
discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of …

The solution of conservation laws with parametrised shock waves presents challenges for
both high-order numerical methods and model reduction techniques. We introduce an r …

We introduce two hybridizable discontinuous Galerkin (HDG) methods for numerically
solving the two-dimensional Monge–Ampère equation. The first HDG method is devised to …

We present a 3D hybridizable discontinuous Galerkin (HDG) method for nonlinear elasticity
which can be efficiently used for thin structures with large deformation. The HDG method is …

High-order discontinuous Galerkin (DG) methods have emerged as an attractive approach
for large eddy simulation of turbulent flows owing to their high accuracy and implicit …