Premium
Least‐squares finite elements for fluid flow and transport
Author(s) -
Carey G. F.,
Pehlivanov A. I.,
Shen Y.,
Bose A.,
Wang K. C.
Publication year - 1998
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(199801)27:1/4<97::aid-fld652>3.0.co;2-2
Subject(s) - finite element method , newtonian fluid , mathematics , computational fluid dynamics , least squares function approximation , non newtonian fluid , viscoelasticity , slip (aerodynamics) , mechanics , flow (mathematics) , calculus (dental) , mathematical optimization , physics , geometry , thermodynamics , medicine , statistics , dentistry , estimator
The least‐squares mixed finite element method is concisely described and supporting error estimates and computational results for linear elliptic (steady diffusion) problems are briefly summarized. The extension to the stationary Navier–Stokes problems for Newtonian, generalized Newtonian and viscoelastic fluids is then considered. Results of numerical studies are presented for the driven cavity problem and for a stick–slip problem. © 1998 John Wiley & Sons, Ltd.