Stabilisation par viscosité de sous-maille pour l'approximation de Galerkin des opérateurs linéaires monotones

DOI10.1016/S0764-4442(99)80257-2zbMath0933.65058OpenAlexW1965700362MaRDI QIDQ4260592

Jean-Luc Guermond

Publication date: 30 March 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(99)80257-2

zbMATH Keywords

Hilbert spacesGalerkin approximationsmonotone linear operatorssubgrid stabilization

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

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A stabilized finite element method for convection-diffusion problems ⋮ Streamline-upwind Petrov/Galerkin method (SUPG) vs residual-free bubbles (RFB) ⋮ Subgridscale stabilization of time-dependent convection dominated diffusive transport ⋮ New subgrid artificial viscosity Galerkin methods for the Navier-Stokes equations ⋮ On the Vreman filter based stabilization for the advection equation ⋮ On the accuracy of the finite element method plus time relaxation ⋮ On the choice of a stabilizing subgrid for convection-diffusion problems ⋮ Numerical analysis of a method for high Peclet number transport in porous media ⋮ Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion-reaction equations ⋮ Modeling subgrid viscosity for advection-diffusion problems ⋮ A connection between subgrid scale eddy viscosity and mixed methods ⋮ Approximating the larger eddies in fluid motion. V: Kinetic energy balance of scale similarity models.

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