An asymptotically optimal Schur complement reduction for the Stokes equation

DOI10.1007/S002110050396zbMath0947.76054OpenAlexW2019620019MaRDI QIDQ1277039

Gabriel Wittum, Boris N. Khoromskij

Publication date: 2 November 2000

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

Full work available at URL: https://doi.org/10.1007/s002110050396

zbMATH Keywords

optimal error estimatesbubble functionsmixed finite element approximationdecomposition approachStokes equationSchur complement methodinterface operator\(P_1\) iso \(P_2/P_1\) triangular elementsasymptotically optimal compression techniqueorder of optimal complexityPCG iterationssparse factorized approximationstreamfunction-vorticity reduction

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10)

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