Stabilized bi-grid projection methods in finite elements for the 2D incompressible Navier-Stokes equations

DOI10.3934/Math.2018.4.485zbMath1431.65165arXiv1808.09185OpenAlexW2889189748WikidataQ129002126 ScholiaQ129002126MaRDI QIDQ2335291

Clara Al Kosseifi, Hyam Abboud, Jean-Paul Chehab

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09185

zbMATH Keywords

stabilizationNavier-Stokes equationbi-grid methodseparation of the scalesChorin-Temam projection

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Cites Work

• Energy dissipation in the Smagorinsky model of turbulence
• A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme
• Nonlinear Galerkin methods: The finite elements case
• A full discretization of the time-dependent Navier-Stokes equations by a two-grid scheme

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