The long-time \(L^2\) and \(H^1\) stability of linearly extrapolated second-order time-stepping schemes for the 2D incompressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: The long-time \(L^2\) and \(H^1\) stability of linearly extrapolated second-order time-stepping schemes for the 2D incompressible Navier-Stokes equations
zbMATH Open document ID: 1428.76097
author: Sean Breckling
author: Sidney Shields
published in: Applied Mathematics and Computation
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 7135480
zbMATH Keywords: Navier Stokes equations
zbMATH Keywords: long time stability
zbMATH Keywords: finite element methods
describes a project that uses: Gmsh
describes a project that uses: RODAS
describes a project that uses: FEniCS
describes a project that uses: UFL
MaRDI profile type: Publication
full work available at URL: j.amc.2018.09.022
OpenAlex ID: W2896208657
cites work: Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
cites work: Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
cites work: Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
cites work: On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations
cites work: On the long‐time stability of the Crank–Nicolson scheme for the 2D Navier–Stokes equations
cites work: Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
cites work: An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations
cites work: Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations
cites work: A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements
cites work: Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations
cites work: On the stability at all times of linearly extrapolated BDF2 timestepping for multiphysics incompressible flow problems
cites work: An optimally accurate discrete regularization for second order timestepping methods for Navier-Stokes equations
cites work: A numerical solution of the Navier-Stokes equations using the finite element technique
cites work: Q3609589
cites work: The Scott-Vogelius finite elements revisited
cites work: Quadratic divergence-free finite elements on Powell--Sabin tetrahedral grids
cites work: A new family of stable mixed finite elements for the 3D Stokes equations
cites work: Divergence-free finite elements on tetrahedral grids for $k\ge6$
cites work: Long time stability and convergence for fully discrete nonlinear galerkin methods
cites work: Unified form language
cites work: Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
Wikidata QID: Q129111773
DOI: 10.1016/J.AMC.2018.09.022
description: scientific article; zbMATH DE number 7135480