Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier-Stokes equations
DOI10.1016/J.CNSNS.2024.108021MaRDI QIDQ6543594
Publication date: 24 May 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
time-dependent Navier-Stokes equationssuperclose and superconvergence error estimatesbilinear-constant Finite element discretizationsemi-implicit SAV Galerkin scheme
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations
- A new second-order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations
- Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
- Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
- Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Two-level mixed finite element methods for the Navier-Stokes equations with damping
- Mixed finite element method for modified Poisson-Nernst-Planck/Navier-Stokes equations
- Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis
- Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations
- A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations
- Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- 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
- Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system
- Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping
- Error estimates for the scalar auxiliary variable (SAV) schemes to the viscous Cahn-Hilliard equation with hyperbolic relaxation
- Unconditional convergence analysis of stabilized FEM-SAV method for Cahn-Hilliard equation
- Fundamental Fluid Mechanics and Magnetohydrodynamics
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Finite Element Methods for Navier-Stokes Equations
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- Convergence of a Finite Difference Scheme for the Navier–Stokes Equations Using Vorticity Boundary Conditions
- Global Superconvergence for the Bilinear-Constant Scheme for the Stokes Problem
- A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
- On Preconditioning of Incompressible Non-Newtonian Flow Problems
- On the Accuracy of Nonconforming Quadrilateral Q1 Element Approximation for the Navier--Stokes Problem
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- A Second Order in Time Modified Lagrange--Galerkin Finite Element Method for the Incompressible Navier--Stokes Equations
- Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
- Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations
- Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations
- Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
- Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- Energy stability and convergence of SAV block-centered finite difference method for gradient flows
This page was built for publication: Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier-Stokes equations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6543594)