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