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Locally mass‐conserving Taylor–Hood elements for two‐ and three‐dimensional flow
Author(s) -
Thatcher R. W.
Publication year - 1990
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/fld.1650110307
Subject(s) - taylor series , mathematics , convergence (economics) , compatibility (geochemistry) , finite element method , calculus (dental) , mathematical analysis , geometry , engineering , structural engineering , medicine , dentistry , chemical engineering , economics , economic growth
By supplementing the pressure space for Taylor–Hood elements, elements that satisfy continuity locally are produced. These elements are shown to satisfy the Babuska–Brezzi compatibility condition by using the patch argument. Two examples are presented, one illustrating the convergence rates and the other illustrating a difficulty with a Taylor–Hood element that is overcome by the element presented here.