Coupling harmonic functions‐finite elements for solving the stream function‐vorticity Stokes problem

DOI10.1002/num.20005zbMath1086.76036OpenAlexW2016581911MaRDI QIDQ4651880

Toufic Abboud, Stéphanie Salmon, Michel Salaün

Publication date: 23 February 2005

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20005

zbMATH Keywords

vorticityintegral representationoptimal convergence rate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)

Uses Software

• Modulef

Cites Work

• Unnamed Item
• Variational approaches to the two-dimensional Stokes system in terms of the vorticity
• A finite element for the numerical solution of viscous incompressible flows
• First vorticity-velocity-pressure numerical scheme for the Stokes problem.
• Discrete harmonics for streamfunction-vorticity Stokes problem
• On the velocity-vorticity formulation of the Stokes system in two- and three-dimensional spaces
• A review of vorticity conditions in the numerical solution of the \(\zeta-\psi\) equations
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Projection conditions on the vorticity in viscous incompressible flows
• 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
• Approximating Harmonic Bases for a Decoupled Solution of Viscous Flow Problems in ω Formulation
• Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation

This page was built for publication: Coupling harmonic functions‐finite elements for solving the stream function‐vorticity Stokes problem