W\(^{1,q }\) stability of the Fortin operator for the MAC scheme
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Publication:714663
DOI10.1007/s10092-011-0045-xzbMath1248.76109OpenAlexW2015975209MaRDI QIDQ714663
Raphaèle Herbin, Thierry Gallouet, Jean-Claude Latché
Publication date: 11 October 2012
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-011-0045-x
Finite volume methods applied to problems in fluid mechanics (76M12) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (14)
Superconvergence analysis of the MAC scheme for the two dimensional stokes problem ⋮ A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids ⋮ Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids ⋮ An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit ⋮ Second order convergence of a modified MAC scheme for Stokes interface problems ⋮ An FFT-based MAC scheme for Stokes equations with periodic boundary conditions and its application to elasticity problems ⋮ Convergence of the fully discrete incremental projection scheme for incompressible flows ⋮ Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations ⋮ Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations ⋮ MAC finite difference scheme for Stokes equations with damping on non-uniform grids ⋮ Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem ⋮ Superconvergence of Characteristics Marker and Cell Scheme for the Navier--Stokes Equations on Nonuniform Grids ⋮ Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids ⋮ Maximum error estimates of a MAC scheme for Stokes equations with Dirichlet boundary conditions
Cites Work
- On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem
- A quasi-local interpolation operator preserving the discrete divergence
- Convergence of the MAC Scheme for the Compressible Stokes Equations
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- A Fortin operator for two-dimensional Taylor-Hood elements
- Mixed and Hybrid Finite Element Methods
- Analysis and Convergence of the MAC Scheme. I. The Linear Problem
- Analysis and convergence of the MAC scheme. II. Navier-Stokes equations
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