Multi-level stabilized algorithms for the stationary incompressible Navier-Stokes equations with damping

DOI10.1016/j.apnum.2019.04.004zbMath1419.65120OpenAlexW2938214750WikidataQ128059327 ScholiaQ128059327MaRDI QIDQ2311774

Hailong Qiu, Liquan Mei

Publication date: 4 July 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.04.004

zbMATH Keywords

error estimatesinf-sup conditionmulti-level methodstabilized finite element methodNavier-Stokes equations with damping

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (10)

Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping ⋮ Local and parallel finite element algorithms based on domain decomposition for the 2D/3D Stokes equations with damping ⋮ Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping ⋮ A three‐step Oseen‐linearized finite element method for incompressible flows with damping ⋮ A new two-grid algorithm based on Newton iteration for the stationary Navier-Stokes equations with damping ⋮ Two‐grid stabilized algorithms for the steady Navier–Stokes equations with damping ⋮ A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions ⋮ A parallel grad-div stabilized finite element algorithm for the Stokes equations with damping ⋮ Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping ⋮ Local and parallel stabilized finite element algorithms based on the lowest equal-order elements for the steady Navier-Stokes equations

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods
• A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations
• On the uniqueness of strong solution to the incompressible Navier-Stokes equations with damping
• A multi-level discontinuous Galerkin method for solving the stationary Navier-Stokes equations
• Weak and strong solutions for the incompressible Navier-Stokes equations with damping
• Existence and multiplicity proofs for semilinear elliptic boundary value problems by computer assistance
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• A multi-level stabilized finite element method for the stationary Navier-Stokes equations
• A mixed-FEM for Navier-Stokes type variational inequality with nonlinear damping term
• Superclose and superconvergence of finite element discretizations for the Stokes equations with damping
• 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
• Finite-Element Approximations of a Ladyzhenskaya Model for Stationary Incompressible Viscous Flow
• Finite Element Methods for Navier-Stokes Equations
• The Long-Time Behavior of Finite-Element Approximations of Solutions to Semilinear Parabolic Problems
• A Two-Level Method with Backtracking for the Navier--Stokes Equations
• Numerical Solution of the Stationary Navier--Stokes Equations Using a Multilevel Finite Element Method
• Global existence and nonexistence for nonlinear wave equations with damping and source terms
• Stabilized mixed finite element methods for the Navier‐Stokes equations with damping
• An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
• A Multilevel Mesh Independence Principle for the Navier–Stokes Equations
• A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations
• New development in freefem++
• A penalty‐FEM for navier‐stokes type variational inequality with nonlinear damping term
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

This page was built for publication: Multi-level stabilized algorithms for the stationary incompressible Navier-Stokes equations with damping