Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations

DOI10.1137/100802967zbMath1229.65205OpenAlexW2023070026MaRDI QIDQ3097441

Shipeng Mao, Roland Becker

Publication date: 10 November 2011

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

Full work available at URL: https://doi.org/10.1137/100802967

zbMATH Keywords

convergencenumerical examplesoptimalityStokes systemadaptive finite element methodslocal mesh refinementnonconforming finite element methodsCrouzeix-Raviart methodRannacher-Turek method

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)

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