An efficient discretization of the Navier-Stokes equations in an axisymmetric domain. I: The discrete problem and its numerical analysis

DOI10.1007/s10915-005-9035-yzbMath1101.76031OpenAlexW2122990224MaRDI QIDQ2502072

Christine Bernardi, Simone Deparis, Zakaria Belhachmi, Frederic Hecht

Publication date: 12 September 2006

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-005-9035-y

zbMATH Keywords

finite element methodvariational problemFourier truncation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

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• Weighted Clément operator and application to the finite element discretization of the axisymmetric Stokes problem
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Consistency, stability, a priori and a posteriori errors for Petrov- Galerkin methods applied to nonlinear problems
• Finite Element Methods for Navier-Stokes Equations
• A TRUNCATED FOURIER/FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS IN AN AXISYMMETRIC DOMAIN