Def
Element
an encyclopedia of finite element definitions
List of all pages
Front page
Barycentric dual grids
Branding
Code of conduct
Complex families
The \(\mathrm{C}\mathrm{P}^{3-r}\mathrm{\Lambda}^r(\mathcal{R})\) family
The \(S_{1,k}\) or \(\mathcal{P}_{k}\Lambda^{r}\) family
The \(S_{1,k}\) or \(\mathcal{S}_{k}\Lambda^{r}\) family
The \(S_{2,k}\) or \(\mathcal{P}^-_{k}\Lambda^{r}\) family
The \(S_{2,k}\) or \(\mathcal{S}^-_{k}\Lambda^{r}\) family
The \(S_{3,k}\) family
The \(S_{4,k}\) or \(\mathcal{Q}^-_{k}\Lambda^{r}\) family
Contributing to DefElement
De Rham element families
DefElement contributors
How to define a finite element
Index of elements
Alfeld–Sorokina
Argyris
Arnold–Boffi–Falk
Arnold–Winther
Bell
Bernardi–Raugel
Bernstein
Bogner–Fox–Schmitt
Brezzi–Douglas–Durán–Fortin
Brezzi–Douglas–Fortin–Marini
Brezzi–Douglas–Marini
bubble
bubble enriched Lagrange
Buffa–Christiansen
conforming Crouzeix–Raviart
Crouzeix–Falk
Crouzeix–Raviart
direct serendipity
dPc
dual polynomial
enriched Galerkin
enriched vector Galerkin
Fortin–Soulie
Gauss–Legendre
Guzmán–Neilan (first kind)
Guzmán–Neilan (second kind)
Hellan–Herrmann–Johnson
Hermite
Hsieh–Clough–Tocher
Huang–Zhang
Johnson–Mercier
Kong–Mulder–Veldhuizen
Lagrange
Mardal–Tai–Winther
mini
Morley
Morley–Wang–Xu
Nédélec (first kind)
Nédélec (second kind)
nonconforming Arnold–Winther
P1 macro
P1-iso-P2
Pechstein–Schöberl
Radau
Rannacher–Turek
Raviart–Thomas
reduced Hsieh–Clough–Tocher
Regge
rotated Buffa–Christiansen
Scott–Vogelius
serendipity
serendipity H(curl)
serendipity H(div)
Taylor
Taylor–Hood
Tiniest tensor
Tiniest tensor H(curl)
Tiniest tensor H(div)
transition
trimmed serendipity H(curl)
trimmed serendipity H(div)
vector bubble enriched Lagrange
vector dPc
vector Lagrange
vector Q
Wu–Xu
List of all pages
Lists of elements
Categories
H(curl) conforming elements
H(div) conforming elements
Macro elements
Matrix-valued elements
Mixed elements
Scalar-valued elements
Vector-valued elements
Implemented elements
Implemented in (legacy) UFL
Implemented in Basix
Implemented in Basix.UFL
Implemented in Bempp
Implemented in FIAT
Implemented in NDElement
Implemented in Symfem
Recent elements
Reference elements
Finite elements on a dual polygon
Finite elements on a hexahedron
Finite elements on a prism
Finite elements on a pyramid
Finite elements on a quadrilateral
Finite elements on a tetrahedron
Finite elements on a triangle
Finite elements on an interval
Reference cell numbering
Reusing & citing
Style guide
Verification
Verification: full detail