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math.NA2025
Trace inequalities for piecewise functions over general polytopic meshes
Michele Botti, Lorenzo Mascotto
Trace inequalities are crucial tools to derive the stability of partial differential equations with inhomogeneous, natural boundary conditions. In the analysis of corresponding Gal…
math.NA2025
Sobolev-Poincaré inequalities for piecewise functions over general polytopic meshes
Michele Botti, Lorenzo Mascotto
We establish Sobolev-Poincaré inequalities for piecewise functions over families of fairly general polytopic (thence also shape-regular simplicial and Cartesian) meshes i…
math.NA2025
Stability and interpolation estimates of Hellinger-Reissner virtual element spaces
Michele Botti, Lorenzo Mascotto, Giuseppe Vacca +1
We prove stability and interpolation estimates for Hellinger-Reissner virtual elements; the constants appearing in such estimates only depend on the aspect ratio of the polytope un…