Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations
type: Item
instance of: scholarly article
title: Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations
zbMATH Open document ID: 1468.65150
author: Liu Qian
author: Shi Dongyang
published in: Computational and Applied Mathematics
publication date: 2021-05-28T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 7351830
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: nonlinear damping
zbMATH Keywords: nonconforming mixed finite element
zbMATH Keywords: superconvergent estimates
MaRDI profile type: Publication
full work available at URL: s40314-020-01381-7
OpenAlex ID: W3118752957
cites work: The Navier–Stokes problem modified by an absorption term
cites work: Stopping a viscous fluid by a feedback dissipative field. I: The stationary Stokes problem
cites work: Weak and strong solutions for the incompressible Navier-Stokes equations with damping
cites work: Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
cites work: An existence result for fluids with shear dependent viscosity — Steady flows
cites work: On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
cites work: The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
cites work: A multilevel finite element method in space‐time for the Navier‐Stokes problem
cites work: Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
cites work: Q5716601
cites work: Q5866757
cites work: Upper bounds for the attractor dimension of damped Navier-Stokes equations in \(\mathbb R^2\)
cites work: Existence and uniqueness of the weak solutions for the steady incompressible Navier-Stokes equations with damping
cites work: Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
cites work: Attractors for 2D-Navier-Stokes equations with delays on some unbounded domains
cites work: A penalty‐FEM for navier‐stokes type variational inequality with nonlinear damping term
cites work: A mixed-FEM for Navier-Stokes type variational inequality with nonlinear damping term
cites work: Simple nonconforming quadrilateral Stokes element
cites work: A superconvergent nonconforming mixed finite element method for the Navier-Stokes equations
cites work: Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes
cites work: Q4980200
cites work: A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations
cites work: Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations
cites work: Remarks on the regularity criterion of the Navier-Stokes equations with nonlinear damping
cites work: On the Accuracy of Nonconforming Quadrilateral Q1 Element Approximation for the Navier--Stokes Problem
cites work: Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations
DOI: 10.1007/S40314-020-01381-7
description: scientific article; zbMATH DE number 7351830