warp.fem.ElementBasis

class warp.fem.ElementBasis(*values)

Choice of basis function to equip individual elements

__init__(*args, **kwds)

Attributes

LAGRANGE	Lagrange basis functions \(P_k\) for simplices, tensor products \(Q_k\) for squares and cubes
SERENDIPITY	Serendipity elements \(S_k\), corresponding to Lagrange nodes with interior points removed (for degree <= 3)
NONCONFORMING_POLYNOMIAL	Simplex Lagrange basis functions \(P_{kd}\) embedded into non conforming reference elements (e.g. squares or cubes).
NEDELEC_FIRST_KIND	Nédélec (first kind) H(curl) shape functions.
RAVIART_THOMAS	Raviart-Thomas H(div) shape functions.

LAGRANGE = 'P'

Lagrange basis functions \(P_k\) for simplices, tensor products \(Q_k\) for squares and cubes

SERENDIPITY = 'S'

Serendipity elements \(S_k\), corresponding to Lagrange nodes with interior points removed (for degree <= 3)

NONCONFORMING_POLYNOMIAL = 'dP'

Simplex Lagrange basis functions \(P_{kd}\) embedded into non conforming reference elements (e.g. squares or cubes). Discontinuous only.

NEDELEC_FIRST_KIND = 'N1'

Nédélec (first kind) H(curl) shape functions. Should be used with covariant function space.

RAVIART_THOMAS = 'RT'

Raviart-Thomas H(div) shape functions. Should be used with contravariant function space.