Spectral-finite element method for solving three-dimensional unsteady Navier-Stokes equations

DOI10.1007/BF02559980zbMath0772.76058OpenAlexW2314449480MaRDI QIDQ5288857

Weiming Cao, Ben-yu Guo

Publication date: 11 October 1993

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559980

zbMATH Keywords

inf-sup conditionerror estimationsFourier spectral methodfully discrete schemesartificial compressionvelocity-pressure elementsperiodic and non-periodic directions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (2)

Chebyshev spectral-finite element method for three-dimensional unsteady Navier-Stokes equation ⋮ Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis

Cites Work

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• Finite element approximation of the Navier-Stokes equations
• Spectral-finite element method for solving two-dimensional vorticity equations
• Combined finite element and spectral approximation of the Navier-Stokes equations
• Résolution d’un problème aux limites dans un ouvert axisymétrique par éléments finis en $r, z$ et séries de Fourier en $\theta $
• Approximation of Symmetry Breaking Bifurcations for the Rayleigh Convection Problem
• Équations différentielles abstraites

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