On the Accuracy of Nonconforming Quadrilateral Q1 Element Approximation for the Navier--Stokes Problem

DOI10.1137/S0036142999350917zbMath0987.76057MaRDI QIDQ4509671

Xuejun Xu

Publication date: 19 October 2000

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

zbMATH Keywords

Navier-Stokes equationsvelocity-pressure formulationconvergence conditionweighted inf-sup conditionquasi-optimal maximum norm error estimatesnonconforming quadrilateral Q(1) elementnonconforming Stokes elementweigthed Sobolev norms

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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