227 citations · 335 across the 18 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.NA2023
Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity
J Droniou, R Eymard, T Gallouët +2
We consider a general linear parabolic problem with extended time boundary conditions (including initial value problems and periodic ones), and approximate it by the implicit Euler…
math.NA2023
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
We first give a general error estimate for the nonconforming approximation of a problem for which a Banach-Ne{\v c}as-Babu{\v s}ka (BNB) inequality holds. This framework covers par…
math.NA2023
Convergence of the incremental projection method using conforming approximations
Robert Eymard, David Maltese
We prove the convergence of an incremental projection numerical scheme for the time-dependent incompressible Navier--Stokes equations, without any regularity assumption on the weak…