High–order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations
We present a comprehensive review of the current development of discontinuous Galerkin
methods on polytopic grids (PolyDG) methods for geophysical applications, addressing as …
methods on polytopic grids (PolyDG) methods for geophysical applications, addressing as …
Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods
We introduce and analyze a discontinuous Galerkin method for the numerical modeling of
the equations of Multiple-Network Poroelastic Theory (MPET) in the dynamic formulation …
the equations of Multiple-Network Poroelastic Theory (MPET) in the dynamic formulation …
On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review
In this work we review discontinuous Galerkin finite element methods on polytopal grids
(PolydG) for the numerical simulation of multiphysics wave propagation phenomena in …
(PolydG) for the numerical simulation of multiphysics wave propagation phenomena in …
A high-order discontinuous Galerkin method for nonlinear sound waves
We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on
polytopic meshes. To model sound propagation with losses through homogeneous media …
polytopic meshes. To model sound propagation with losses through homogeneous media …
The arbitrary‐order virtual element method for linear elastodynamics models: convergence, stability and dispersion‐dissipation analysis
We design the conforming virtual element method for the numerical approximation of the two‐
dimensional elastodynamics problem. We prove stability and convergence of the …
dimensional elastodynamics problem. We prove stability and convergence of the …
Numerical solution of fluid-structure interaction problems by means of a high order Discontinuous Galerkin method on polygonal grids
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 …
problem over unfitted fluid and structure meshes. In particular, we consider a method where …
Discontinuous Galerkin discretization of coupled poroelasticity–elasticity problems
This work is concerned with the analysis of a space–time finite element discontinuous
Galerkin method on polytopal meshes (XT-PolydG) for the numerical discretization of wave …
Galerkin method on polytopal meshes (XT-PolydG) for the numerical discretization of wave …
An agglomeration-based massively parallel non-overlap** additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids
In this article we design and analyze a class of two-level non-overlap** additive Schwarz
preconditioners for the solution of the linear system of equations stemming from …
preconditioners for the solution of the linear system of equations stemming from …
A virtual element method for the wave equation on curved edges in two dimensions
In this work we present an extension of the Virtual Element Method with curved edges for the
numerical approximation of the second order wave equation in a bidimensional setting …
numerical approximation of the second order wave equation in a bidimensional setting …
Discontinuous Galerkin approximation of the fully coupled thermo-poroelastic problem
We present and analyze a discontinuous Galerkin method for the numerical modeling of the
nonlinear fully coupled thermo-poroelastic problem. For the spatial discretization, we design …
nonlinear fully coupled thermo-poroelastic problem. For the spatial discretization, we design …