Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations
type: Item
instance of: scholarly article
title: Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations
zbMATH Open document ID: 1490.65217
author: Yanyan Li
published in: Journal of Scientific Computing
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 7435294
zbMATH Keywords: time-dependent Navier-Stokes equations
zbMATH Keywords: Euler explicit/implicit scheme
zbMATH Keywords: scalar auxiliary variable
zbMATH Keywords: unconditional stability
zbMATH Keywords: optimal error estimates
describes a project that uses: XTOR-2F
describes a project that uses: XTOR
MaRDI profile type: Publication
full work available at URL: s10915-021-01681-y
OpenAlex ID: W3214418250
cites work: Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
cites work: Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
cites work: Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
cites work: High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
cites work: Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations
cites work: A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
cites work: The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
cites work: Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
cites work: \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations
cites work: Two-level stabilized finite element methods for the steady Navier-Stokes problem
cites work: A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations
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: Approximation of the global attractor for the incompressible Navier-Stokes equations
cites work: An efficient semi-implicit immersed boundary method for the Navier-Stokes equations
cites work: A two-grid stabilization method for solving the steady-state Navier-Stokes equations
cites work: Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
cites work: Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
cites work: On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case
cites work: Energy stability and convergence of SAV block-centered finite difference method for gradient flows
cites work: Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
cites work: XTOR-2F: a fully implicit Newton-Krylov solver applied to nonlinear 3D extended MHD in tokamaks
cites work: An explicit-implicit finite element model for the numerical solution of incompressible Navier-Stokes equations on moving grids
cites work: An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
cites work: Long time stability and convergence for fully discrete nonlinear galerkin methods
cites work: On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
cites work: On error estimates of some higher order penalty-projection methods for Navier-Stokes equations
cites work: On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
cites work: Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: Local discontinuous Galerkin methods with implicit-explicit multistep time-marching for solving the nonlinear Cahn-Hilliard equation
cites work: The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations
cites work: Q3684480
cites work: On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations
cites work: Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
cites work: Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
cites work: An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices
cites work: Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
DOI: 10.1007/S10915-021-01681-Y
description: scientific article; zbMATH DE number 7435294