Analysis of a mixed finite element for the Stokes problem. I: General results

DOI10.1007/BF01396224zbMath0765.65113OpenAlexW2884321731MaRDI QIDQ1203414

Michel Fortin, Zoubida Mghazli

Publication date: 8 February 1993

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

Full work available at URL: https://eudml.org/doc/133646

zbMATH Keywords

error estimatesmixed finite element methodsStokes problemoptimal error estimatesinclusion of kernels property

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Applications to the sciences (65Z05)

Cites Work

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• Finite element approximation of the Navier-Stokes equations
• Analysis of a mixed finite element for the Stokes problem. II: Construction and error estimates
• Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens
• The finite element method with Lagrangian multipliers
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Mixed and Hybrid Finite Element Methods
• An analysis of the convergence of mixed finite element methods

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