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