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 …

In this paper, we will develop a class of high order asymptotic preserving (AP) discontinuous
Galerkin (DG) methods for nonlinear time-dependent gray radiative transfer equations …

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 develop a fully discrete scheme to solve the well-known Allen–Cahn
equation, where space is discretized by the hybridizable discontinuous Galerkin method …

In this work, we extend the energy stable discontinuous Galerkin (DG) schemes proposed in
Bokil et al.(J Comput Phys 350: 420–452, 2017), for the time domain Maxwell's equations …

In this paper, a multilevel Monte Carlo ensemble hybridizable discontinuous Galerkin
(MLMCE-HDG) method is proposed to solve the convection diffusion equation with random …

We continue our effort in Li et al.(2024) to explore an interpolated coefficients stabilizer-free
weak Galerkin finite element method (IC SFWG-FEM) to solve a one-dimensional semilinear …

In this article, we develop a linear, fully discrete numerical scheme for solving the fourth-
order Cahn-Hilliard equation with the general type nonlinear potential, where spatial …

This paper presents an energy-stable hybridizable interior penalty discontinuous Galerkin
method for the Allen–Cahn equation. To obtain an unconditionally energy stable scheme …

We use Monte Carlo, ensemble and hybrid discontinuous Galerkin method (EMC-HDG) to
numerically solve parabolic partial differential equations (PDEs) with random coefficients …