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
\(Q_{k+1,k}\times Q_{k,k+1}\)
AAe (hexahedron)
AAf (hexahedron)
ABF
Alfeld–Sorokina
Argyris
Arnold–Awanou H(curl) (hexahedron)
Arnold–Awanou H(div) (hexahedron)
Arnold–Boffi–Falk
Arnold–Winther
BC
BDDF
BDFM
BDM
BDMce (quadrilateral)
BDMcf (quadrilateral)
Bell
Bernardi–Raugel
Bernstein
Bernstein–Bézier
Bogner–Fox–Schmitt
BR
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
CF
CG
Clough–Tocher
conforming Arnold–Winther
conforming CR
conforming Crouzeix–Raviart
CR
Crouzeix–Falk
Crouzeix–Raviart
CT
DG
DGT (facets)
direct serendipity
discontinuous polynomial cubical
discontinuous Taylor
dPc
dual
dual polynomial
EG
enriched Galerkin
enriched vector Galerkin
Fortin–Soulie
FS
Galerkin
Gauss–Legendre
Gauss–Lobatto–Legendre (GLL variant)
GN
Guzmán–Neilan
Guzmán–Neilan (first kind)
Guzmán–Neilan (second kind)
HCT
HCT-red
Hdiv trace (facets)
Hellan–Herrmann–Johnson
Hermite
Hood–Taylor
Hsieh–Clough–Tocher
Huang–Zhang
HZ
iso-P2 P1
Johnson–Mercier
Johnson–Mercier–Křížek
KMV
Kong–Mulder–Veldhuizen
Lagrange
LFEG
Lobatto (Lobatto variant)
locking-free enriched Galerkin
Mardal–Tai–Winther
mini
Morley
Morley–Wang–Xu
MTW
Nédélec (first kind)
Nédélec (first kind) H(div)
Nédélec (second kind)
Nédélec cubical H(curl) (hexahedron)
Nédélec cubical H(div) (hexahedron)
N1curl
N2curl
NC
Nce (hexahedron)
Ncf (hexahedron)
non-conforming Crouzeix–Raviart
nonconforming Arnold–Winther
P
P1 macro
P1-iso-P2
P2-iso-P1
Pechstein–Schöberl
Polynomial
Q (quadrilateral and hexahedron)
Q H(curl) (quadrilateral,hexahedron)
Q H(div) (quadrilateral, hexahedron)
Radau
Rannacher–Turek
Rao–Wilton–Glisson
Raviart–Thomas
Raviart–Thomas cubical H(curl) (quadrilateral)
Raviart–Thomas cubical H(div) (quadrilateral)
RBC
reduced Hsieh–Clough–Tocher
Regge
rHCT
rotated Buffa–Christiansen
RT
RTce (quadrilateral)
RTcf (quadrilateral)
RWG
S
Scott–Vogelius
serendipity
serendipity H(curl)
serendipity H(div)
Tangential-displacement normal-normal-stress
Taylor
Taylor–Hood
TDNNS
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