3 papers
math.NA2026
Equivalence of mixed and nonconforming methods on general polytopal partitions. Part I: Multiscale and projection methods
Simon Lemaire
We study equivalence, in the context of a variable diffusion problem, between (conforming) mixed methods and (primal) nonconforming methods defined on potentially general polytopal…
math.NA2025
Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex
Théophile Chaumont-Frelet, Jérôme Droniou, Simon Lemaire
We establish Maxwell compactness results for the Discrete De Rham (DDR) polytopal complex: sequences in this polytopal complex with bounded discrete …
math.NA2023
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches
Simon Lemaire, Julien Moatti
We are interested in the high-order approximation of anisotropic, potential-driven advection-diffusion models on general polytopal partitions. We study two hybrid schemes, both bui…