Non-conforming high order approximations of the elastodynamics equation
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 …
approximation of elastic wave problems in heterogeneous media, namely the Mortar …
hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes
A Cangiani, EH Georgoulis… - Mathematical Models and …, 2014 - World Scientific
An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …
solution of second-order elliptic partial differential equations on general computational …
Numerical modeling of seismic waves by discontinuous spectral element methods
PF Antonietti, A Ferroni, I Mazzieri… - ESAIM: Proceedings …, 2018 - esaim-proc.org
We present a comprehensive review of Discontinuous Galerkin Spectral Element (DGSE)
methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground …
methods on hybrid hexahedral/tetrahedral grids for the numerical modeling of the ground …
Discontinuous Galerkin finite element approximation of Hamilton--Jacobi--Bellman equations with Cordes coefficients
We propose an hp-version discontinuous Galerkin finite element method for fully nonlinear
second-order elliptic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The …
second-order elliptic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The …
High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes
PF Antonietti, I Mazzieri - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
We propose and analyze a high-order Discontinuous Galerkin Finite Element Method for the
approximate solution of wave propagation problems modeled by the elastodynamics …
approximate solution of wave propagation problems modeled by the elastodynamics …
A discontinuous Galerkin method to solve the EEG forward problem using the subtraction approach
In order to perform electroencephalography (EEG) source reconstruction, ie, to localize the
sources underlying a measured EEG, the electric potential distribution at the electrodes …
sources underlying a measured EEG, the electric potential distribution at the electrodes …
hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
We consider the hp-version interior penalty discontinuous Galerkin finite element method
(DGFEM) for the numerical approximation of the advection-diffusion-reaction equation on …
(DGFEM) for the numerical approximation of the advection-diffusion-reaction equation on …
Low-order preconditioning for the high-order finite element de Rham complex
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 …
refined discretizations for the high-order finite element de Rham complex. This theory covers …
Dispersion-dissipation analysis of 3-D continuous and discontinuous spectral element methods for the elastodynamics equation
A Ferroni, PF Antonietti, I Mazzieri… - Geophysical Journal …, 2017 - academic.oup.com
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 …
and the fully discrete approximation of the elastodynamics equation based on the plane …
V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes
PF Antonietti, G Pennesi - Journal of Scientific Computing, 2019 - Springer
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 …
numerical solution of the linear system of equations stemming from discontinuous Galerkin …