234 citations · 697 across the 29 of their papers we have counts for
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math.NA2022★ 2 cited
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…
math.NA2021★ 2 cited
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…