An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …

This paper provides brief review on polygonal/polyhedral finite elements. Various
techniques, together with their advantages and disadvantages, are listed. A comparison of …

A comprehensive mathematical model of the multiphysics flow of blood and Cerebrospinal
Fluid (CSF) in the brain can be expressed as the coupling of a poromechanics system and …

In recent years, polygonal and polyhedral finite elements have gained much interest from
researchers as an alternative approach for discretizing complicated domains. Findings to …

We consider the hp-version interior penalty discontinuous Galerkin finite element method
(DGFEM) for the numerical approximation of the advection-diffusion-reaction equation on …

We present a novel high-order discontinuous Galerkin discretization for the spherical
shallow water equations, able to handle wetting/drying and non-conforming, curved meshes …

In this paper we analyze the convergence properties of V-cycle multigrid algorithms for the
numerical solution of the linear system of equations stemming from discontinuous Galerkin …

We consider the two-dimensional numerical approximation of the fluid-structure interaction
problem over unfitted fluid and structure meshes. In particular, we consider a method where …

We present a stability analysis of the Discontinuous Galerkin method on polygonal and
polyhedral meshes (PolyDG) for the Stokes problem. In particular, we analyze the discrete …

We propose an arbitrary-order discontinuous Galerkin method for second-order elliptic
problem on general polygonal mesh with only one degree of freedom per element. This is …