About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …

We present an implicit high-order hybridizable discontinuous Galerkin method for the steady-
state and time-dependent incompressible Navier–Stokes equations. The method is devised …

Computational methods to approximate the solution of differential equations play a crucial
role in science, engineering, mathematics, and technology. Indeed, the key processes which …

We provide a short overview of our recent work on the devising of hybridizable
discontinuous Galerkin (HDG) methods for the Stokes equations of incompressible flow …

In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically
solving the Stokes equations. The method uses polynomials of degree $ k $ for all the …

This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear
elasticity on general polyhedral meshes, based on a strong symmetric stress formulation …

We study the a priori error analysis of finite element methods for Biot's consolidation model.
We consider a formulation which has the stress tensor, the fluid flux, the solid displacement …

In this paper, we compare hybridizable discontinuous Galerkin (HDG) methods for
numerically solving the velocity-pressure-gradient, velocity-pressure-stress, and velocity …

A family of stable mixed finite elements for the linear elasticity on tetrahedral grids are
constructed, where the stress is approximated by symmetric H (div)-P k polynomial tensors …

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