Stability and superconvergence of efficient MAC schemes for fractional Stokes equation on non-uniform grids
DOI10.1016/j.apnum.2018.12.010zbMath1435.76051OpenAlexW2906940967WikidataQ128638102 ScholiaQ128638102MaRDI QIDQ1732873
Shuangshuang Chen, Hong-Xing Rui, Xiao-Li Li
Publication date: 25 March 2019
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.12.010
Finite difference methods applied to problems in fluid mechanics (76M20) Fractional derivatives and integrals (26A33) Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (3)
Cites Work
- Unnamed Item
- A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations
- On the time-fractional Navier-Stokes equations
- A two-grid block-centered finite difference method for nonlinear non-Fickian flow model
- An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
- The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes
- Quadratic convergence for cell-centered grids
- An analysis of a mixed finite element method for the Navier-Stokes equations
- A two-grid block-centered finite difference method for the nonlinear time-fractional parabolic equation
- On the generalized Navier-Stokes equations
- Conservation properties of unstructured staggered mesh schemes
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- A parallel CGS block-centered finite difference method for a nonlinear time-fractional parabolic equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Block-centered finite difference methods for parabolic equation with time-dependent coefficient
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
- Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations
- Remarks on the links between low-order DG methods and some finite-difference schemes for the Stokes problem
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- Convergence of Finite Volume Schemes for Poisson’s Equation on Nonuniform Meshes
- Analysis and Convergence of the MAC Scheme. I. The Linear Problem
- A Convergence Analysis of Yee’s Scheme on Nonuniform Grids
- A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
- Finite-element error estimates for the MAC scheme
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids
- Discrete Conservation Properties of Unstructured Mesh Schemes
- Divergence‐free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
- Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation
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