an encyclopedia of finite element definitions

Taylor–Hood

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Alternative namesHood–Taylor
Orders\(2\leqslant k\)
Reference elementstriangle, tetrahedron
DefinitionThis is a mixed element containing these subelements:
Number of DOFstriangle: \((k+1)(3k+4)/2\)
tetrahedron: \((k+1)(k+2)(4k+9)/6\)
NotesThis is the same as the Scott–Vogelius element, but the second subelement in this case is continuous between cells.
CategoriesMixed elements

DefElement stats

Element added28 February 2021
Element last updated13 June 2021