34 citations · 269 across the 80 of their papers we have counts for
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Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
Paola F. Antonietti, Lorenzo Mascotto, Marco Verani +1
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 inf-…
A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids
Paola F. Antonietti, Michele Botti, Ilario Mazzieri +1
The aim of this work is to introduce and analyze a finite element discontinuous Galerkin method on polygonal meshes for the numerical discretization of acoustic waves propagation t…
Polytopic Discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures
Paola Francesca Antonietti, Chiara Facciolà, Marco Verani
We present a numerical approximation of Darcy's flow through a porous medium that incorporates networks of fractures with non empty intersection. Our scheme employs PolyDG methods,…
Anisotropic a posteriori error estimate for the Virtual Element Method
Paola Francesca Antonietti, Stefano Berrone, Andrea Borio +3
We derive an anisotropic a posteriori error estimate for the adaptive conforming Virtual Element approximation of a paradigmatic two-dimensional elliptic problem. In particular, we…