14 citations · 14 across the 3 of their papers we have counts for
6 papers
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 -like hybrid spaces spanned by polynomials…
Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches
Claire Chainais-Hillairet, Maxime Herda, Simon Lemaire +1
We are interested in the long-time behaviour of approximate solutions to heterogeneous and anisotropic linear advection-diffusion equations in the framework of hybrid finite volume…
Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods
T. Chaumont-Frelet, A. Ern, S. Lemaire +1
We establish the equivalence between the Multiscale Hybrid-Mixed (MHM) and the Multiscale Hybrid High-Order (MsHHO) methods for a variable diffusion problem with piecewise polynomi…
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics
Florent Chave, Daniele A. Di Pietro, Simon Lemaire
We prove a discrete version of the first Weber inequality on three-dimensional hybrid spaces spanned by vectors of polynomials attached to the elements and faces of a polyhedral me…
A Hybrid High-Order method for highly oscillatory elliptic problems
Matteo Cicuttin, Alexandre Ern, Simon Lemaire
We devise a Hybrid High-Order (HHO) method for highly oscillatory elliptic problems that is capable of handling general meshes. The method hinges on discrete unknowns that are poly…
On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators
Claude Le Bris, Frederic Legoll, Simon Lemaire
We approximate an elliptic problem with oscillatory coefficients using a problem of the same type, but with constant coefficients. We deliberately take an engineering perspective,…