A TRUNCATED FOURIER/FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS IN AN AXISYMMETRIC DOMAIN

DOI10.1142/S0218202506001133zbMath1134.76376MaRDI QIDQ5290651

Simone Deparis, Zakaria Belhachmi, Frederic Hecht, Christine Bernardi

Publication date: 3 May 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

finite elementsStokes equationsaxisymmetric domainFourier truncation

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

A framework for approximation of the Stokes equations in an axisymmetric domain ⋮ Low-order Raviart-Thomas approximations of axisymmetric Darcy flow ⋮ A NUMERICAL METHOD FOR 3D TIME-DEPENDENT MAXWELL’S EQUATIONS IN AXISYMMETRIC SINGULAR DOMAINS WITH ARBITRARY DATA ⋮ Numerical solution to the 3D static Maxwell equations in axisymmetric singular domains with arbitrary data ⋮ Approximation of coupled Stokes-Darcy flow in an axisymmetric domain ⋮ Stenberg's sufficiency criteria for the LBB condition for axisymmetric Stokes flow ⋮ An efficient discretization of the Navier-Stokes equations in an axisymmetric domain. I: The discrete problem and its numerical analysis ⋮ Mortar spectral element discretization of the stokes problem in axisymmetric domains

Uses Software

• FreeFem++

Cites Work

• Stability of Finite Elements under Divergence Constraints
• Finite Element Methods for Navier-Stokes Equations
• Unnamed Item

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