Error estimation of prediction-correction Legendre spectral approximation to incompressible fluid flow

DOI10.1007/BF02679889zbMath0980.76062OpenAlexW2054723751MaRDI QIDQ1582570

Li-Ping He, Ben-yu Guo, De-Kang Mao

Publication date: 4 March 2002

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02679889

zbMATH Keywords

convergenceNavier-Stokes equationsinitial-boundary value problemweak formulationstream function formulationsecond-order accuracy in timehigh-order accuracy in spaceprediction-correction Legendre spectral scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• On the two-dimensional Navier-Stokes equations in stream function form
• A numerical method for solving incompressible viscous flow problems
• On pressure boundary conditions for the incompressible Navier-Stokes equations
• Some Spectral Approximations of Two-Dimensional Fourth-Order Problems
• Prediction-correction legendre spectral scheme for incompressible fluid flow
• The Fully Discrete Legendre Spectral Approximation of Two-Dimensional Unsteady Incompressible Fluid Flow in Stream Function Form

This page was built for publication: Error estimation of prediction-correction Legendre spectral approximation to incompressible fluid flow