3 papers
math.NA2026
An arbitrary-order BGG-based discrete scheme for the Reissner--Mindlin plate problem on polygonal meshes
Arax Leroy
We design and analyse an arbitrary-order numerical scheme for the Reissner--Mindlin plate problem on general polygonal meshes. The scheme is derived from the Hodge--Laplacian assoc…
math.NA2026
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…
math.NA2025
Design and homological analysis of twisted and BGG Stokes-de Rham complexes on polygonal meshes
Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu +1
We design a discrete Bernstein--Gelfand--Gelfand (BGG) diagram in a two-dimensional setting on polygonal meshes based on the DDR framework; the diagram is made of a discrete Stokes…