Analysis of newton multilevel stabilized finite volume method for the three-dimensional stationary Navier-Stokes equations

DOI10.1002/NUM.21798zbMath1277.76055OpenAlexW2054578024MaRDI QIDQ2864609

Jian Su, Xin Zhao, Jian Li, Gang Lei

Publication date: 26 November 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21798

zbMATH Keywords

Navier-Stokes equationsinf-sup conditionmultilevel discretizationstabilized FVM

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (2)

A multilevel decoupling method for the Navier-Stokes/Darcy model ⋮ A multilevel finite element variational multiscale method for incompressible Navier-Stokes equations based on two local Gauss integrations

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations
• Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier-Stokes equations
• A multi-level discontinuous Galerkin method for solving the stationary Navier-Stokes equations
• Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem
• 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 computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations
• A new stabilized finite volume method for the stationary Stokes equations
• Stabilized mixed methods for the Stokes problem
• A note on the optimal \(L^2\)-estimate of the finite volume element method
• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• Optimal low order finite element methods for incompressible flow
• On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations
• A two-level discretization method for the Navier-Stokes equations
• A multi-level stabilized finite element method for the stationary Navier-Stokes equations
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Two-level stabilized finite element methods for the steady Navier-Stokes problem
• On the relationship between finite volume and finite element methods applied to the Stokes equations
• Generalized Difference Methods for a Nonlinear Dirichlet Problem
• Model reduction by constraints, discretization of flow problems and an induced pressure stabilization
• Finite Element Methods for Navier-Stokes Equations
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Numerical Solution of the Stationary Navier--Stokes Equations Using a Multilevel Finite Element Method
• A general mixed covolume framework for constructing conservative schemes for elliptic problems
• A Novel Two-Grid Method for Semilinear Elliptic 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
• Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A Multilevel Mesh Independence Principle for the Navier–Stokes Equations
• Finite volume element approximations of nonlocal reactive flows in porous media
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• Finite Element Methods and Their Applications
• Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods

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