Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …

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

In this paper we develop and analyze some interior penalty $ hp $-discontinuous Galerkin ($
hp $-DG) methods for the Helmholtz equation with first order absorbing boundary condition …

We design an adaptive unfitted finite element method on the Cartesian mesh with hanging
nodes. We derive an hp-reliable and efficient residual type a posteriori error estimate on K …

We present W-cycle h-, p-, and hp-multigrid algorithms for the solution of the linear system of
equations arising from a wide class of hp-version discontinuous Galerkin discretizations of …

In this article, we consider a discontinuous Galerkin method for the discretization of the
Stokes problem. We use-conforming finite elements, as they provide major benefits such as …

The present work is the second part of a pair of papers, considering Hybrid Discontinuous
Galerkin methods with relaxed H (div)-conformity. The first part mainly dealt with presenting …

We are studying the efficient solution of the system of linear equations stemming from the
mass conserving stress‐yielding (MCS) discretization of the Stokes equations. We perform …

In this paper we design and analyze a uniform preconditioner for a class of high-order
Discontinuous Galerkin schemes. The preconditioner is based on a space splitting involving …

In this work, we introduce and analyze an hp-hybrid high-order (hp-HHO) method for a
variable diffusion problem. The proposed method is valid in arbitrary space dimension and …