Def
Element
an encyclopedia of finite element definitions
Index of elements
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Reference elements
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interval
triangle
tetrahedron
quadrilateral
hexahedron
prism
pyramid
dual polygon
Categories
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Scalar-valued elements
Vector-valued elements
Matrix-valued elements
H(curl) conforming elements
H(div) conforming elements
Mixed elements
Macro elements
\(Q_{k+1,k}\times Q_{k,k+1}\)
Alfeld–Sorokina
Argyris
Arnold–Awanou H(curl) (hexahedron)
Arnold–Awanou H(div) (hexahedron)
Arnold–Boffi–Falk
Arnold–Winther
Bell
Bernardi–Raugel
Bernstein
Bernstein–Bézier
Bogner–Fox–Schmitt
Brezzi–Douglas–Durán–Fortin
Brezzi–Douglas–Fortin–Marini
Brezzi–Douglas–Marini
Brezzi–Douglas–Marini cubical H(curl) (quadrilateral)
Brezzi–Douglas–Marini cubical H(div) (quadrilateral)
bubble
bubble enriched Lagrange
Buffa–Christiansen
Clough–Tocher
conforming Arnold–Winther
conforming Crouzeix–Raviart
Crouzeix–Falk
Crouzeix–Raviart
DGT (facets)
direct serendipity
discontinuous polynomial cubical
discontinuous Taylor
dPc
dual polynomial
enriched Galerkin
enriched vector Galerkin
Fortin–Soulie
Galerkin
Gauss–Legendre
Gauss–Lobatto–Legendre (GLL variant)
Guzmán–Neilan
Hdiv trace (facets)
Hellan–Herrmann–Johnson
Hermite
Hood–Taylor
Hsieh–Clough–Tocher
Huang–Zhang
iso-P2 P1
Kong–Mulder–Veldhuizen
Lagrange
Lobatto (Lobatto variant)
locking-free enriched Galerkin
Mardal–Tai–Winther
mini
Morley
Morley–Wang–Xu
Nédélec (first kind)
Nédélec (first kind) H(div)
Nédélec (second kind)
Nédélec cubical H(curl) (hexahedron)
Nédélec cubical H(div) (hexahedron)
non-conforming Crouzeix–Raviart
nonconforming Arnold–Winther
P1 macro
P1-iso-P2
P2-iso-P1
Pechstein–Schöberl
Polynomial
Q (quadrilateral and hexahedron)
Q H(curl) (quadrilateral,hexahedron)
Q H(div)
Radau
Rannacher–Turek
Rao–Wilton–Glisson
Raviart–Thomas
Raviart–Thomas cubical H(curl) (quadrilateral)
Raviart–Thomas cubical H(div) (quadrilateral)
reduced Hsieh–Clough–Tocher
Regge
rotated Buffa–Christiansen
Scott–Vogelius
serendipity
serendipity H(curl)
serendipity H(div)
Tangential-displacement normal-normal-stress
Taylor
Taylor–Hood
Tiniest tensor
Tiniest tensor H(curl)
Tiniest tensor H(div)
TNT
TNT H(curl)
TNT H(div)
transition
trimmed serendipity H(curl)
trimmed serendipity H(div)
vector bubble enriched Lagrange
vector dPc
vector Lagrange
vector Q
Whitney (triangle,tetrahedron)
Wu–Xu