In this paper we formulate and analyze two non-conforming high order strategies for the
approximation of elastic wave problems in heterogeneous media, namely the Mortar …

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

We present a comprehensive review of Discontinuous Galerkin Spectral Element (DGSE)
methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground …

We propose an hp-version discontinuous Galerkin finite element method for fully nonlinear
second-order elliptic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The …

We propose and analyze a high-order Discontinuous Galerkin Finite Element Method for the
approximate solution of wave propagation problems modeled by the elastodynamics …

In order to perform electroencephalography (EEG) source reconstruction, ie, to localize the
sources underlying a measured EEG, the electric potential distribution at the electrodes …

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

In this paper we present a unified framework for constructing spectrally equivalent low-order-
refined discretizations for the high-order finite element de Rham complex. This theory covers …

In this paper we present a 3-D dispersion and dissipation analysis for both the semi-discrete
and the fully discrete approximation of the elastodynamics equation based on the plane …

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 …