Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations

DOI10.1007/BF01385852zbMath0760.76041MaRDI QIDQ1195911

Yves Achdou, Olivier Pironneau, Roland Glowinski

Publication date: 2 February 1993

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

Full work available at URL: https://eudml.org/doc/133673

zbMATH Keywords

error estimatesboundary layers

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations ⋮ On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions ⋮ Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem ⋮ On the Velocity-Vorticity Formulation of the Two-Dimensional Stokes System and its Finite Element Approximation

Cites Work

• Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
• Finite element methods (Part 1)
• Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the Navier-Stokes equations
• Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow
• A self-adaptive formulation for the Euler/Navier-Stokes coupling
• Numerical analysis for compressible viscous isentropic stationary flows
• Finite Element Methods for Navier-Stokes Equations
• A Mixed Method for the Time-Dependent Navier-Stokes Problem
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation
• A mixed method for 4th order problems using linear finite elements
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