Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations

DOI10.1007/s40314-020-01381-7zbMath1468.65150OpenAlexW3118752957MaRDI QIDQ2027689

Liu Qian, Shi Dongyang

Publication date: 28 May 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01381-7

zbMATH Keywords

Navier-Stokes equationsnonlinear dampingnonconforming mixed finite elementsuperconvergent estimates

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

A three‐step Oseen‐linearized finite element method for incompressible flows with damping ⋮ The supercloseness property of the Stokes projection for the transient Navier-Stokes equations and global superconvergence analysis ⋮ Superconvergence analysis of the bilinear‐constant scheme for two‐dimensional incompressible convective Brinkman–Forchheimer equations ⋮ A finite element approximation of a current-induced magnetization dynamics model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations
• Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations
• Existence and uniqueness of the weak solutions for the steady incompressible Navier-Stokes equations with damping
• A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations
• Upper bounds for the attractor dimension of damped Navier-Stokes equations in \(\mathbb R^2\)
• Weak and strong solutions for the incompressible Navier-Stokes equations with damping
• Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
• Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes
• Remarks on the regularity criterion of the Navier-Stokes equations with nonlinear damping
• Stopping a viscous fluid by a feedback dissipative field. I: The stationary Stokes problem
• Attractors for 2D-Navier-Stokes equations with delays on some unbounded domains
• A mixed-FEM for Navier-Stokes type variational inequality with nonlinear damping term
• A superconvergent nonconforming mixed finite element method for the Navier-Stokes equations
• The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
• The Navier–Stokes problem modified by an absorption term
• Finite Element Methods for Navier-Stokes Equations
• Simple nonconforming quadrilateral Stokes element
• An existence result for fluids with shear dependent viscosity — Steady flows
• On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method
• Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
• On the Accuracy of Nonconforming Quadrilateral Q₁ Element Approximation for the Navier--Stokes Problem
• Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
• A penalty‐FEM for navier‐stokes type variational inequality with nonlinear damping term
• Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
• A multilevel finite element method in space‐time for the Navier‐Stokes problem

This page was built for publication: Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations