Error Estimates of a Stabilized Lagrange–Galerkin Scheme of Second-Order in Time for the Navier–Stokes Equations

DOI10.1007/978-4-431-56457-7_18zbMath1366.76072OpenAlexW2557861677MaRDI QIDQ5278262

Hirofumi Notsu, Masahisa Tabata

Publication date: 13 July 2017

Published in: Mathematical Fluid Dynamics, Present and Future (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56457-7_18

zbMATH Keywords

Navier-Stokes equationserror estimatessecond-order schemestabilized Lagrange-Galerkin scheme

Mathematics Subject Classification ID

Related Items (4)

Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media ⋮ Optimal Design for Suppressing Time Fluctuation Part of Two-Dimensional Jet in Crossflow ⋮ An exactly computable Lagrange–Galerkin scheme for the Navier–Stokes equations and its error estimates ⋮ Stabilized Lagrange–Galerkin Schemes of First- and Second-Order in Time for the Navier–Stokes Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems
• Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations
• Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
• Stabilized mixed methods for the Stokes problem
• A second order characteristic finite element scheme for convection-diffusion problems
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Error estimates of a stabilized Lagrange−Galerkin scheme for the Navier−Stokes equations
• Convergence of Extrapolated BDF2 Finite Element Schemes for Unsteady Penetrative Convection Model
• 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
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
• A high-order characteristics/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

This page was built for publication: Error Estimates of a Stabilized Lagrange–Galerkin Scheme of Second-Order in Time for the Navier–Stokes Equations