A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions
type: Item
instance of: scholarly article
title: A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions
zbMATH Open document ID: 1498.65209
author: Fei Teng
author: Yan Jie Zhou
author: Zhendong Luo
published in: Journal of Inequalities and Applications
publication date: 2021-12-15T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 7446036
zbMATH Keywords: semi-discretized Crank-Nicolson format
zbMATH Keywords: the two-dimensional non-stationary Stokes equations about vorticity-stream functions
zbMATH Keywords: fully discretized Crank-Nicolson finite spectral element format
zbMATH Keywords: existence
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s13660-018-1914-5
OpenAlex ID: W2901358064
Wikidata QID: Q59796012
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: Q3684480
cites work: Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
cites work: A posteriori error analysis of space-time finite element discretizations of the time-dependent Stokes equations
cites work: High-accuracy versions of the collocations and least squares method for the numerical solution of the Navier-Stokes equations
cites work: Benchmark spectral results on the lid-driven cavity flow
cites work: Stream function-vorticity driven cavity solution using \(p\) finite elements
cites work: Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers
cites work: Computational fluid dynamics
cites work: Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
cites work: On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
cites work: A new stabilized finite volume method for the stationary Stokes equations
cites work: Spectral Differencing with a Twist
cites work: Q4039908
cites work: Spectral Methods and Their Applications
cites work: Some progress in spectral methods
cites work: Q3064721
cites work: Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation
cites work: A REDUCED-ORDER EXTRAPOLATION SPECTRAL-FINITE DIFFERENCE SCHEME BASED ON THE POD METHOD FOR 2D SECOND-ORDER HYPERBOLIC EQUATIONS
cites work: Optimization-based limiters for the spectral element method
cites work: Q5452306
cites work: Spectral/hp Element Methods for Computational Fluid Dynamics
cites work: Q4073917
cites work: Q4216258
DOI: 10.1186/S13660-018-1914-5
Recommended article: The Crank–Nicolson finite spectral element method and numerical simulations for 2D non‐stationary Navier–Stokes equations
Recommended article: A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions
Recommended article: A spectral element Crank-Nicolson model to the 2D unsteady conduction-convection problems about vorticity and stream functions
Recommended article: A nonstandard finite element method for the stationary two-dimensional Navier-Stokes equations
Recommended article: A stabilized Crank-Nicolson mixed finite element method for non-stationary parabolized Navier-Stokes equations
Recommended article: A Crank-Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem
Recommended article: Q3835162
Recommended article: Spectral-finite element method for solving two-dimensional vorticity equations
Recommended article: Q2958559
Recommended article: A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary parabolized Navier-Stokes equations
description: scientific article; zbMATH DE number 7446036