The convergence of two numerical schemes for the Navier-Stokes equations

DOI10.1007/BF01395871zbMath0645.76032OpenAlexW2054030964MaRDI QIDQ1103458

Enrique Fernández-Cara, Mercedes Marín Beltrán

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133343

zbMATH Keywords

stabilityconvergencenumerical methodsfull discretizationexternal approximationhomogeneous Dirichlet problemsincompressible nonstationary Navier-Stokes equationsstandard piecewise quadratic finite element method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (16)

Full discrete nonlinear Galerkin method for the Navier-Stokes equations ⋮ Parallelization of differential problems by partitioning method (synchronized algorithm) ⋮ Error estimates for an operator-splitting method for incompressible flows ⋮ A convergence result for a parallel algorithm for solving the Navier-Stokes equations ⋮ Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations ⋮ A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem ⋮ A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations ⋮ The fully discrete fractional-step method for the Oldroyd model ⋮ A numerical method for incompressible viscous flow simulation ⋮ A large time stepping viscosity-splitting finite element method for the viscoelastic flow problem ⋮ A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm ⋮ A fictitious domain, parallel numerical method for rigid particulate flows ⋮ The convergence of a new parallel algorithm for the Navier-Stokes equations ⋮ A parallel algorithm for solving the incompressible Navier-Stokes problem ⋮ An adaptive finite-element strategy for the three-dimensional time- dependent Navier-Stokes equations ⋮ Numerical analysis of the M.P.P. model of turbulence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical Methods Based on Additive Splittings for Hyperbolic Partial Differential Equations
• Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
• Finite Element Methods for Navier-Stokes Equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
• On the Construction and Comparison of Difference Schemes

This page was built for publication: The convergence of two numerical schemes for the Navier-Stokes equations