3 citations · 3 across the 9 of their papers we have counts for
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Analytical properties of polygonal Stokes and BGG Hessian complexes with application to Kirchhoff--Love plates
Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu +1
We develop and analyse a new arbitrary-order method for the Kirchhoff--Love plate problem on general polygonal meshes. The construction relies on a discrete Hessian complex obtaine…
Key challenges and bridges among convergence analysis techniques for polytopal methods
Lourenço Beirão da Veiga, Daniele Antonio Di Pietro, Jérôme Droniou
Polytopal methods provide a flexible framework for the numerical approximation of partial differential equations on general meshes. Their convergence analysis raises specific chall…
A Reynolds- and Hartmann-semirobust hybrid method for magnetohydrodynamics
Daniele A. Di Pietro, Jerome Droniou, Vito Patierno
We propose and analyze a new method for the unsteady incompressible magnetohydrodynamics equations on convex domains with hybrid approximations of both vector-valued and scalar-val…
A low-order hybrid method for the variable-density incompressible Navier-Stokes equations
Mathias Dauphin, Daniele A. Di Pietro, Jérôme Droniou +1
In this work we introduce and analyse a new low-order method for the variable-density incompressible Navier-Stokes equations. The main novelty of the proposed method lies in the su…