On finite volume methods for a Navier-Stokes variational inequality
DOI10.1007/s10915-023-02408-xOpenAlexW4390541793MaRDI QIDQ6178640
Weimin Han, Takahito Kashiwabara, Feifei Jing, Wen-Jing Yan
Publication date: 16 January 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-023-02408-x
equivalencefinite volume methodstrapezoidal ruleoptimal order error estimateNavier-Stokes variational inequality
Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Finite volume methods applied to problems in fluid mechanics (76M12) Error bounds for boundary value problems involving PDEs (65N15) Variational methods applied to problems in fluid mechanics (76M30) Finite difference methods for boundary value problems involving PDEs (65N06) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A stabilized finite volume method for the stationary Navier-Stokes equations
- Existence of the solution to stationary Navier-Stokes equations with nonlinear slip boundary conditions
- Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations
- Analysis of a finite volume element method for the Stokes problem
- A finite volume method for solving Navier-Stokes problems
- Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
- On a strong solution of the non-stationary Navier-Stokes equations under slip or leak boundary conditions of friction type
- On the finite volume element method
- A stabilized finite volume method for Stokes equations using the lowest order \(P_1-P_0\) element pair
- Discontinuous Galerkin methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type
- A coherent analysis of Stokes flows under boundary conditions of friction type
- On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions
- On a finite element approximation of the Stokes equations under a slip boundary condition of the friction type
- A pressure projection stabilized mixed finite element method for a Stokes hemivariational inequality
- Numerical analysis of a characteristic stabilized finite element method for the time-dependent Navier-Stokes equations with nonlinear slip boundary conditions
- Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions
- Uzawa iteration method for Stokes type variational inequality of the second kind
- Optimal \(L^2\), \(H^1\) and \(L^{\infty}\) analysis of finite volume methods for the stationary Navier-Stokes equations with large data
- 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
- Finite Element Method for Stokes Equations under Leak Boundary Condition of Friction Type
- Generalized Difference Methods for a Nonlinear Dirichlet Problem
- Locally Stabilized Finite Element Method for Stokes Problem with Nonlinear Slip Boundary Conditions
- Stabilized finite element methods for a blood flow model of arteriosclerosis
- Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
- Theoretical Numerical Analysis
- Finite Element Methods for Navier-Stokes Equations
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Mixed and Hybrid Finite Element Methods
- Mixed Covolume Methods for Elliptic Problems on Triangular Grids
- Semismooth Newton and Augmented Lagrangian Methods for a Simplified Friction Problem
- Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions
- Unified Analysis of Finite Volume Methods for the Stokes Equations
- The Mathematical Theory of Finite Element Methods
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Analysis and convergence of a covolume method for the generalized Stokes problem
- An optimal \(C^0\) finite element algorithm for the 2D biharmonic problem: Theoretical analysis and numerical results
- The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type
This page was built for publication: On finite volume methods for a Navier-Stokes variational inequality
