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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
A MUSCL-like finite volumes approximation of the momentum convection operator for low-order nonconforming face-centred discretizations
Aubin Brunel, Raphaele Herbin, Jean-Claude Latché
We propose in this paper a discretization of the momentum convection operator for fluid flow simulations on quadrangular or hexahedral meshes. The space discretization is performed…