Please use this identifier to cite or link to this item:
|Title:||L2-projected least-squares finite element methods for the Stokes equations||Authors:||Duan, H.-Y.
The Stokes equation
Velocity-pressure-vorticity least-squares finite element method
|Issue Date:||2006||Citation:||Duan, H.-Y., Lin, P., Saikrishnan, P., Tan, R.C.E. (2006). L2-projected least-squares finite element methods for the Stokes equations. SIAM Journal on Numerical Analysis 44 (2) : 732-752. ScholarBank@NUS Repository. https://doi.org/10.1137/040613573||Abstract:||Two new L2 least-squares (LS) finite element methods are developed for the velocity-pressure-vorticity first-order system of the Stokes problem with Dirichlet velocity boundary condition, A key feature of these new methods is that a local or almost local L2 projector is applied to the residual of the momentum equation. Such L2 projection is always defined onto the linear finite element space, no matter which finite element spaces are used for velocity-pressure-vorticity variables. Consequently, the implementation of this L2-projected LS method is almost as easy as that of the standard L2 LS method. More importantly, the former has optimal error estimates in L2-norm, with respect to both the order of approximation and the required regularity of the exact solution for velocity using equal-order interpolations and for all three variables (velocity, pressure, and vorticity) using unequal-order interpolations. Numerical experiments are given to demonstrate the theoretical results. © 2006 Society for Industrial and Applied Mathematics.||Source Title:||SIAM Journal on Numerical Analysis||URI:||http://scholarbank.nus.edu.sg/handle/10635/103472||ISSN:||00361429||DOI:||10.1137/040613573|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jan 15, 2020
WEB OF SCIENCETM
checked on Jan 8, 2020
checked on Jan 18, 2020
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.