2 citations · 4 across the 3 of their papers we have counts for
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The curved Mimetic Finite Difference method: allowing grids with curved faces
Silvano Pitassi, Riccardo Ghiloni, Igor Petretti +2
We present a new mimetic finite difference method for diffusion problems that converges on grids with \textit{curved} (i.e., non-planar) faces. Crucially, it gives a symmetric disc…
Inverting the discrete curl operator: a novel graph algorithm to find a vector potential of a given vector field
Silvano Pitassi, Riccardo Ghiloni, Ruben Specogna
We provide a novel framework to compute a discrete vector potential of a given discrete vector field on arbitrary polyhedral meshes. The framework exploits the concept of acyclic m…
Explicit geometric construction of sparse inverse mass matrices for arbitrary tetrahedral grids
Silvano Pitassi, Francesco Trevisan, Ruben Specogna
The geometric reinterpretation of the Finite Element Method (FEM) shows that Raviart Thomas and Nedelec mass matrices map from degrees of freedoms (DoFs) attached to geometric elem…