Silvano Pitassi

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math.NA2025

Hybrid high-order approximations of div-curl systems on domains with general topology

Jérémy Dalphin, Jean-Pierre Ducreux, Simon Lemaire +1

We devise and analyze hybrid polyhedral methods of arbitrary order for the approximation of div-curl systems on three-dimensional domains featuring non-trivial topology. The div-cu…

math.NA2025

Generators of $H^{1} (Γ, \partial Γ^{c})$ with $\partial Γ^{c} \subset \partial Γ$ for Triangulated Surfaces $Γ$ : Construction and Classification of Global Loops

Silvano Pitassi

Given a compact surface $Γ$ embedded in $R^{3}$ with boundary $\partial Γ$ , our goal is to construct a set of representatives for a basis of the relative cohomology group $H^…

math.NA2023

Discrete Weber inequalities and related Maxwell compactness for hybrid spaces over polyhedral partitions of domains with general topology

Simon Lemaire, Silvano Pitassi

We prove discrete versions of the first and second Weber inequalities on $H (curl) \cap H (div_{η})$ -like hybrid spaces spanned by polynomials…

Hybrid high-order approximations of div-curl systems on domains with general topology

Generators of H1(Γ,∂Γc) with ∂Γc⊂∂Γ for Triangulated Surfaces Γ: Construction and Classification of Global Loops

Discrete Weber inequalities and related Maxwell compactness for hybrid spaces over polyhedral partitions of domains with general topology

Generators of $H^{1} (Γ, \partial Γ^{c})$ with $\partial Γ^{c} \subset \partial Γ$ for Triangulated Surfaces $Γ$ : Construction and Classification of Global Loops