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math.NA2023
Maximum principle preserving time implicit DGSEM for linear scalar hyperbolic conservation laws
Riccardo Milani, Florent Renac, Jean Ruel
We investigate the properties of the high-order discontinuous Galerkin spectral element method (DGSEM) with implicit backward-Euler time stepping for the approximation of hyperboli…
math.NA2021
Artificial compressibility methods for the incompressible Navier-Stokes equations using lowest-order face-based schemes on polytopal meshes
Riccardo Milani, Jérôme Bonelle, Alexandre Ern
We investigate artificial compressibility (AC) techniques for the time discretization of the incompressible Navier-Stokes equations. The space discretization is based on a lowest-o…