L2-Projected Least-Squares Finite Element Methods for the Stokes Equations

DOI10.1137/040613573zbMath1118.65119OpenAlexW1989509959MaRDI QIDQ5470978

Roger C. E. Tan, Ping Lin, P. Saikrishnan, Huo-Yuan Duan

Publication date: 2 June 2006

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

Full work available at URL: https://doi.org/10.1137/040613573

zbMATH Keywords

error estimatesnumerical experimentsStokes equation\(L^2\) projectionmass-lumpingleast-squares finite element methodsvelocity-pressure vorticity

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) 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)

Related Items (4)

A div FOSLS method suitable for quadrilateral RT and hexahedral RTN \(H(\operatorname{div})\)-elements ⋮ A stabilized finite element method on nonaffine grids for time-harmonic Maxwell's equations ⋮ Analysis of a stabilized finite element method for Stokes equations of velocity boundary condition and of pressure boundary condition ⋮ A virtual element method for stochastic Stokes equations

This page was built for publication: L2-Projected Least-Squares Finite Element Methods for the Stokes Equations