Spectral methods for the Stokes problem in stream-function formulation

DOI10.1016/0045-7825(90)90026-IzbMath0765.76059OpenAlexW1999369599MaRDI QIDQ1175227

Christine Bernardi, Vivette Girault, Giuseppe Coppoletta, Yvon Maday

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0045-7825(90)90026-i

zbMATH Keywords

collocation methodGalerkin methodvorticitysquare

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stokes and related (Oseen, etc.) flows (76D07)

Related Items

A locally conservative, discontinuous least-squares finite element method for the Stokes equations ⋮ A spectral multigrid method for the Stokes problem in streamfunction formulation

Cites Work

• An analysis of a mixed finite element method for the Navier-Stokes equations
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• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Finite Element Methods for Navier-Stokes Equations
• Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
• A collocation method over staggered grids for the Stokes problem
• Properties of Some Weighted Sobolev Spaces and Application to Spectral Approximations
• Some Spectral Approximations of Two-Dimensional Fourth-Order Problems
• Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation
• Analysis of Spectral Projectors in One-Dimensional Domains
• A spectral method with staggered grid for incompressible Navier‐Stokes equations
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