We describe, in the framework of steady-state diffusion problems, the history of the
development of the so-called hybridizable discontinuous Galerkin (HDG) methods, since …

A unified study is presented in this paper for the design and analysis of different finite
element methods (FEMs), including conforming and nonconforming FEMs, mixed FEMs …

In this paper, we review and refine the main ideas for devising the so-called hybridizable
discontinuous Galerkin (HDG) methods; we do that in the framework of steady-state diffusion …

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

The discontinuous Galerkin methods are locally conservative, high‐order accurate, and
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …

A balancing domain decomposition by constraints (BDDC) algorithm with enriched coarse
spaces is developed and analyzed for two-dimensional elliptic problems with oscillatory and …

We introduce and analyze the first energy-conservative hybridizable discontinuous Galerkin
method for the semidiscretization in space of the acoustic wave equation. We prove optimal …

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 …

A face-centred finite volume (FCFV) method is proposed for linear elastostatic problems. The
FCFV is a mixed hybrid formulation, featuring a system of first-order equations, that defines …

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 …