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An improved inf-sup condition for the spectral discretization of the Stokes problem in a cylinder

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Publication:1299317
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DOI10.1016/S0045-7825(98)00357-0zbMath0934.76066MaRDI QIDQ1299317

Christine Bernardi

Publication date: 13 April 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)


zbMATH Keywords

velocityFourier serieserror estimates on pressureoptimal Babuška-Brezzi type conditions


Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07)


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Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions



Cites Work

  • The finite element method with Lagrangian multipliers
  • Mixed and Hybrid Finite Element Methods
  • An analysis of the convergence of mixed finite element methods
  • UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM
  • Unnamed Item
  • Unnamed Item
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