Reference elements

Interval

• Bernstein
• Bernstein–Bézier
• bubble
• discontinuous polynomial cubical
• discontinuous Taylor
• dPc
• enriched Galerkin
• Galerkin
• Gauss–Legendre
• Gauss–Lobatto–Legendre
• Hermite
• Lagrange
• Morley–Wang–Xu
• Polynomial
• Radau
• serendipity
• Taylor
• vector dPc
• Wu–Xu

Triangle

• 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
• discontinuous Taylor
• enriched Galerkin
• enriched vector Galerkin
• Fortin–Soulie
• Galerkin
• Guzmán–Neilan
• Hellan–Herrmann–Johnson
• Hermite
• Hood–Taylor
• Hsieh–Clough–Tocher
• iso-P2 P1
• Kong–Mulder–Veldhuizen
• Lagrange
• locking-free enriched Galerkin
• Mardal–Tai–Winther
• mini
• Morley
• Morley–Wang–Xu
• Nédélec (first kind)
• Nédélec (second kind)
• non-conforming Crouzeix–Raviart
• nonconforming Arnold–Winther
• P1-iso-P2
• P2-iso-P1
• Pechstein–Schöberl
• Polynomial
• Rao–Wilton–Glisson
• Raviart–Thomas
• 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
• discontinuous Taylor
• enriched Galerkin
• enriched vector Galerkin
• Galerkin
• Guzmán–Neilan
• Hermite
• Hood–Taylor
• Kong–Mulder–Veldhuizen
• Lagrange
• locking-free enriched Galerkin
• Mardal–Tai–Winther
• Morley–Wang–Xu
• Nédélec (first kind)
• Nédélec (second kind)
• non-conforming Crouzeix–Raviart
• Pechstein–Schöberl
• Polynomial
• Rao–Wilton–Glisson
• Raviart–Thomas
• 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–Boffi–Falk
• Bogner–Fox–Schmitt
• Brezzi–Douglas–Fortin–Marini
• Brezzi–Douglas–Marini cubical H(curl)
• Brezzi–Douglas–Marini cubical H(div)
• direct serendipity
• discontinuous polynomial cubical
• dPc
• enriched Galerkin
• enriched vector Galerkin
• Galerkin
• Gauss–Legendre
• Gauss–Lobatto–Legendre
• Huang–Zhang
• iso-P2 P1
• Lagrange
• locking-free enriched Galerkin
• Nédélec (first kind)
• 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

Hexahedron

• Arnold–Awanou H(curl)
• Arnold–Awanou H(div)
• Brezzi–Douglas–Durán–Fortin
• Brezzi–Douglas–Fortin–Marini
• discontinuous polynomial cubical
• dPc
• enriched Galerkin
• enriched vector Galerkin
• Galerkin
• Gauss–Legendre
• Gauss–Lobatto–Legendre
• Lagrange
• 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
• 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

Prism

• enriched Galerkin
• Galerkin
• Lagrange
• Nédélec (first kind)
• Polynomial

Pyramid

• enriched Galerkin
• Galerkin
• Lagrange
• Polynomial

Dual polygon

• Buffa–Christiansen
• dual polynomial
• rotated Buffa–Christiansen