Analysis of the MAC scheme for the three dimensional Stokes problem

DOI10.1016/j.apnum.2023.07.021zbMath1528.76052OpenAlexW4385329235MaRDI QIDQ6064943

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Publication date: 10 November 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2023.07.021

zbMATH Keywords

superconvergenceoptimal error estimateMACFVEM3D-Stokes equations

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Stokes and related (Oseen, etc.) flows (76D07) Finite volume methods for boundary value problems involving PDEs (65N08)

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Cites Work

• Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids
• Difference finite element method for the 3D steady Stokes equations
• A stabilized difference finite element method for the 3D steady Stokes equations
• A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids
• Maximum error estimates of a MAC scheme for Stokes equations with Dirichlet boundary conditions
• A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
• The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes
• Convergence of the MAC Scheme for the Compressible Stokes Equations
• Finite Difference Methods for the Stokes and Navier–Stokes Equations
• A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case
• Analysis and Convergence of the MAC Scheme. I. The Linear Problem
• A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
• A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes
• Analysis and convergence of the MAC scheme. II. Navier-Stokes equations
• A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
• Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
• Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids
• Divergence‐free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

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