20 citations · 80 across the 33 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-…
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…