Simplified weak Galerkin and new finite difference schemes for the Stokes equation
DOI10.1016/j.cam.2019.04.024zbMath1422.65397arXiv1803.00120OpenAlexW2964243435WikidataQ127974321 ScholiaQ127974321MaRDI QIDQ2315838
Publication date: 26 July 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.00120
Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
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- A weak Galerkin finite element scheme for solving the stationary Stokes equations
- Analysis of a finite volume element method for the Stokes problem
- On the finite volume element method
- The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes
- An adaptive finite volume box scheme for solving a class of nonlinear parabolic equations
- A new stabilized finite volume method for the stationary Stokes equations
- A combined finite element and marker and cell method for solving Navier-Stokes equations
- A weak Galerkin finite element method for second-order elliptic problems
- Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions
- The finite element method with Lagrangian multipliers
- On the relationship between finite volume and finite element methods applied to the Stokes equations
- A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case
- Penalty-Factor-Free Discontinuous Galerkin Methods for 2-Dim Stokes Problems
- A weak Galerkin mixed finite element method for second order elliptic problems
- Finite Difference Methods for the Stokes and Navier–Stokes Equations
- Superconvergence of finite volume methods for the Stokes equations
- Remarks on the links between low-order DG methods and some finite-difference schemes for the Stokes problem
- A Robust Numerical Method for Stokes Equations Based on Divergence-FreeH(div) Finite Element Methods
- Finite Element Methods for Navier-Stokes Equations
- Some Error Estimates for the Box Method
- Mixed and Hybrid Finite Element Methods
- Error Estimates for a Combined Finite Volume--Finite Element Method for Nonlinear Convection--Diffusion Problems
- A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
- Convergence analysis of a finite volume method for the Stokes system using non-conforming arguments
- Divergence‐free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
- A Discontinuous Finite Volume Method for the Stokes Problems
- Analysis and convergence of a covolume method for the generalized Stokes problem
- A weak Galerkin finite element method for the Stokes equations