An Optimal Adaptive Finite Element Method for the Stokes Problem

DOI10.1137/06066566XzbMath1166.65059OpenAlexW2147649367MaRDI QIDQ3624390

Yaroslav Kondratyuk, Rob P. Stevenson

Publication date: 30 April 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/06066566x

zbMATH Keywords

computational complexityconvergencenumerical resultsSchur complementStokes equationsadaptive finite element methoda posteriori error estimationUzawa iteration

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Complexity and performance of numerical algorithms (65Y20)

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