A multigrid method for a Petrov-Galerkin discretization of the Stokes equations

DOI10.1007/BF01385711zbMath0796.65138OpenAlexW2001498150MaRDI QIDQ1326490

Hermann Weber

Publication date: 10 October 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133776

zbMATH Keywords

convergencemultigrid methodPetrov-Galerkin methodsmoothing iterationsRichardson iterationdiscrete Stokes equations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10)

Cites Work

• Unnamed Item
• Steplength optimization and linear multigrid methods
• On the convergence of multi-grid methods with transforming smoothers
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Stabilized mixed methods for the Stokes problem
• A Multilevel Algorithm for Mixed Problems
• Finite Element Methods for Navier-Stokes Equations

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