Error analysis of a weighted least-squares finite element method for 2-D incompressible flows in velocity-stress-pressure formulation

DOI<1637::AID-MMA13>3.0.CO;2-M 10.1002/(SICI)1099-1476(199812)21:18<1637::AID-MMA13>3.0.CO;2-MzbMath0929.76076OpenAlexW2030785957MaRDI QIDQ4224785

Suh-Yuh Yang

Publication date: 2 February 2000

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199812)21:18<1637::aid-mma13>3.0.co;2-m

zbMATH Keywords

optimal order of convergencegeneralized Stokes equationsH(1)-normL(2)-normweighted least-squares functionalfinite element subspacesPetrovski-type first-order elliptic system

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) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Quasi-least-squares finite element method for steady flow and heat transfer with system rotation, Weighted least-squares finite element methods for the linearized Navier–Stokes equations, On the velocity-vorticity-pressure least-squares finite element method for the stationary incompressible Oseen problem, On Two Iterative Least-Squares Finite Element Schemes for the Incompressible Navier–Stokes Problem, Quadratic finite volume element method for the improved Boussinesq equation, Analysis of the \(L^2\) least-squares finite element method for the velocity-vorticity-pressure Stokes equations with velocity boundary conditions., Analysis of piecewise linear approximations to the generalized Stokes problem in the velocity-stress-pressure formulation, ANALYSIS OF LEAST-SQUARES APPROXIMATIONS TO SECOND-ORDER ELLIPTIC PROBLEMS. I. FINITE ELEMENT METHOD

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