A finite volume method for Stokes problems on quadrilateral meshes
DOI10.1016/j.camwa.2018.10.044zbMath1442.65329OpenAlexW2901597918MaRDI QIDQ2203802
Publication date: 2 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.10.044
finite volume methodStokes problemoptimal error estimatequadrilateral meshisoparametric \(Q_1\)-\(Q_0\) element pair
PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (4)
Cites Work
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- Superconvergence of the stable \(P_1\)-\(P_1\) finite element pair for Stokes problem
- Superconvergence of finite volume element method for elliptic problems
- Finite element approximation of the Navier-Stokes equations
- On the finite volume element method
- Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems
- A stabilized finite volume method for Stokes equations using the lowest order \(P_1-P_0\) element pair
- A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
- \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes
- Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
- A new stabilized finite volume method for the stationary Stokes equations
- Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations
- On the relationship between finite volume and finite element methods applied to the Stokes equations
- Quadratic finite-volume methods for elliptic and parabolic problems on quadrilateral meshes: optimal-order errors based on Barlow points
- $L^2$ Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes
- Finite Element Methods for Navier-Stokes Equations
- A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem
- A stabilized finite element method for the Stokes problem based on polynomial pressure projections
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes
- Unified Analysis of Finite Volume Methods for the Stokes Equations
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- A Discontinuous Finite Volume Method for the Stokes Problems
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