This paper designs, analyzes, and implements a finite element analysis for the simulation of
the nonlinear advection-diffusion model. The key feature of the proposed work is to provide …

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 …

This monograph requires basic knowledge of the variational theory of elliptic PDE and the
techniques used for the analysis of the Finite Element Method. However, all the tools for the …

In this paper, we design and analyze an interior penalty hybridized discontinuous Galerkin
(IP-HDG) method for the Darcy flow in the two-and three-dimensional fractured porous …

We introduce and analyze a hybridizable discontinuous Galerkin method for the gradient-
velocity-pressure formulation of the Brinkman problem. We present an a priori error analysis …

We present and analyze an a posteriori error estimator for a space-time hybridizable
discontinuous Galerkin discretization of the time-dependent advection-diffusion problem …

This paper investigates adaptive hybridizable discontinuous Galerkin methods for the
gradient-velocity–pressure formulation of Brinkman equations. We use piecewise …

We derive a posteriori error estimates for the hybridizable discontinuous Galerkin (HDG)
methods, including both the primal and mixed formulations, for the approximation of a linear …

In this paper we introduce and analyze a hybridizable discontinuous Galerkin (HDG) method
for the linear Brinkman model of porous media flow in two and three dimensions and with …

In a recent work we developed a new hybridizable discontinuous Galerkin (HDG) method for
a class of nonlinear Stokes models arising in quasi-Newtonian fluids. The approach there …