Error analysis of the nonconforming \(P_1\) finite element method to the sequential regularization formulation for unsteady Navier-Stokes equations

DOI10.4208/aam.oa-2023-0016MaRDI QIDQ6662494

Xiliang Lu, Qimeng Quan, Kewei Liang, Ping Lin, Y. M. Lai

Publication date: 14 January 2025

Published in: Annals of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationserror estimatesfinite element methodstabilization method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Error estimate of the \(P_1\) nonconforming finite element method for the penalized unsteady Navier-Stokes equations
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Stabilization of constraints and integrals of motion in dynamical systems
• Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
• Sequential Regularization Methods for Nonlinear Higher-Index DAEs
• Attractors for the Penalized Navier–Stokes Equations
• Analysis of a sequential regularization method for the unsteady Navier-Stokes equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Linear Finite Element Methods for Planar Linear Elasticity
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• A Sequential Regularization Method for Time-Dependent Incompressible Navier--Stokes Equations
• Sequential Regularization Methods for Higher Index DAE<scp>s</scp> with Constraint Singularities: The Linear Index-2 Case
• On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
• Numerical Solution of the Navier-Stokes Equations

This page was built for publication: Error analysis of the nonconforming \(P_1\) finite element method to the sequential regularization formulation for unsteady Navier-Stokes equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6662494)