symfem.elements.q

Q elements on tensor product cells.

Module Contents

Classes

Q	A Q element.
VectorQ	A vector Q element.
Nedelec	Nedelec Hcurl finite element.
RaviartThomas	Raviart-Thomas Hdiv finite element.

class symfem.elements.q.Q(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')

Bases: symfem.finite_element.CiarletElement

A Q element.

names = ['Q', 'Lagrange', 'P']

references = ['quadrilateral', 'hexahedron']

min_order = 0

continuity = 'C0'

last_updated = '2023.07.1'

get_tensor_factorisation() → List[Tuple[str, List[symfem.finite_element.FiniteElement], List[int]]]

Get the representation of the element as a tensor product.

Returns:

The tensor factorisation

init_kwargs() → Dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary

class symfem.elements.q.VectorQ(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')

Bases: symfem.finite_element.CiarletElement

A vector Q element.

names = ['vector Q', 'vQ']

references = ['quadrilateral', 'hexahedron']

min_order = 0

continuity = 'C0'

last_updated = '2023.06'

init_kwargs() → Dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary

class symfem.elements.q.Nedelec(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')

Bases: symfem.finite_element.CiarletElement

Nedelec Hcurl finite element.

names = ['NCE', 'RTCE', 'Qcurl', 'Nedelec', 'Ncurl']

references = ['quadrilateral', 'hexahedron']

min_order = 1

continuity = 'H(curl)'

last_updated = '2023.06'

init_kwargs() → Dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary

class symfem.elements.q.RaviartThomas(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')

Bases: symfem.finite_element.CiarletElement

Raviart-Thomas Hdiv finite element.

names = ['NCF', 'RTCF', 'Qdiv']

references = ['quadrilateral', 'hexahedron']

min_order = 1

continuity = 'H(div)'

last_updated = '2023.06'

init_kwargs() → Dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary