Difference Finite Element Method for the 3D Steady Navier–Stokes Equations

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Uses Software

FreeFem++

Cites Work

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Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations
Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations
Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier-Stokes equations
Error estimates for finite element method solution of the Stokes problem in the primitive variables
A dimension splitting and characteristic projection method for three-dimensional incompressible flow
Stabilized virtual element methods for the unsteady incompressible Navier-Stokes equations
Difference finite element method for the 3D steady Stokes equations
A stabilized difference finite element method for the 3D steady Stokes equations
Superconvergence in \(H^1\)-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh
Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
A two-level discretization method for the Navier-Stokes equations
Stabilized finite element method for the stationary Navier-Stokes equations
Two-level stabilized finite element methods for the steady Navier-Stokes problem
The nonconforming virtual element method for the Navier-Stokes equations
A simplified two-level method for the steady Navier-Stokes equations
Recovery-Based Error Estimator for Stabilized Finite Element Method for the Stationary Navier--Stokes Problem
A two-level finite element method for the stationary Navier-Stokes equations based on a stabilized local projection
Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
Finite Element Methods for Navier-Stokes Equations
Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
Finite Element Approximation of the Nonstationary Navier–Stokes Problem III. Smoothing Property and Higher Order Error Estimates for Spatial Discretization
Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations
A mixed virtual element method for the Navier–Stokes equations
𝐻¹-Superconvergence of a difference finite element method based on the 𝑃₁-𝑃₁-conforming element on non-uniform meshes for the 3D Poisson equation
New development in freefem++
A dimension split method for the incompressible Navier–Stokes equations in three dimensions
H¹‐superconvergence of finite difference method based on Q₁‐element on quasi‐uniform mesh for the 3D Poisson equation
A weak Galerkin finite element method for the Navier-Stokes equations

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