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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
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…