Superconvergence by \(L^2\)-projection for a stabilized finite volume method for the stationary Navier-Stokes equations
From MaRDI portal
Publication:2429072
DOI10.1016/j.camwa.2011.10.012zbMath1236.76017OpenAlexW2012131051MaRDI QIDQ2429072
Publication date: 22 April 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.012
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (8)
Superconvergence of the finite element method for the Stokes eigenvalue problem ⋮ Superconvergence and asymptotic expansion for semidiscrete bilinear finite volume element approximation of the parabolic problem ⋮ A new defect-correction method for the stationary Navier-Stokes equations based on local Gauss integration ⋮ A superconvergence result of the natural convection equations ⋮ Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method. ⋮ A stabilized finite volume method for the evolutionary Stokes-Darcy system ⋮ Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations ⋮ Superconvergence of the stable \(P_1\)-\(P_1\) finite element pair for Stokes problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations
- Superconvergence of mixed finite element methods on rectangular domains
- A new stabilized finite element method for the transient Navier-Stokes equations
- On the control volume finite element methods and their applications to multiphase flow
- A new stabilized finite volume method for the stationary Stokes equations
- Superconvergence of finite volume methods for the second-order elliptic problem
- A regularity result for the Stokes problem in a convex polygon
- Superconvergence analysis for the Navier-Stokes equations
- Superconvergence for Galerkin methods for the two point boundary problem via local projections
- Global superconvergence of finite element methods for biharmonic equations and blending surfaces
- A stabilized finite element method based on two local Gauss integrations for the Stokes equations
- A simplified two-level method for the steady Navier-Stokes equations
- On the relationship between finite volume and finite element methods applied to the Stokes equations
- Generalized Difference Methods for a Nonlinear Dirichlet Problem
- The Finite Volume Element Method for Diffusion Equations on General Triangulations
- Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods
- Superconvergence of finite volume methods for the Stokes equations
- Superconvergence of discontinuous Galerkin finite element method for the stationary Navier-Stokes equations
- Superconvergence and Reduced Integration in the Finite Element Method
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Superconvergence of nonconforming finite element method for the Stokes equations
- Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Equivalent Norms for Sobolev Spaces
- Superconvergent recovery of gradients on subdomains from piecewise linear finite‐element approximations
- Superconvergence of coupling techniques in combined methods for elliptic equations with singularities
This page was built for publication: Superconvergence by \(L^2\)-projection for a stabilized finite volume method for the stationary Navier-Stokes equations
