:py:mod:`symfem.elements.bdfm`
==============================

.. py:module:: symfem.elements.bdfm

.. autoapi-nested-parse::

   Brezzi-Douglas-Fortin-Marini elements.

   This element's definition appears in https://doi.org/10.1051/m2an/1987210405811
   (Brezzi, Douglas, Fortin, Marini, 1987)



Module Contents
---------------

Classes
~~~~~~~

.. autoapisummary::

   symfem.elements.bdfm.BDFM



Functions
~~~~~~~~~

.. autoapisummary::

   symfem.elements.bdfm.bdfm_polyset



.. py:function:: bdfm_polyset(reference: symfem.references.Reference, order: int) -> List[symfem.functions.FunctionInput]

   Create the polynomial basis for a BDFM element.

   :param reference: The reference cell
   :param order: The polynomial order

   :returns: The polynomial basis


.. py:class:: BDFM(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')


   Bases: :py:obj:`symfem.finite_element.CiarletElement`

   Brezzi-Douglas-Fortin-Marini Hdiv finite element.

   .. py:attribute:: names
      :value: ['Brezzi-Douglas-Fortin-Marini', 'BDFM']

      

   .. py:attribute:: references
      :value: ['triangle', 'quadrilateral', 'hexahedron', 'tetrahedron']

      

   .. py:attribute:: min_order
      :value: 1

      

   .. py:attribute:: continuity
      :value: 'H(div)'

      

   .. py:attribute:: last_updated
      :value: '2023.06'

      

   .. py:method:: init_kwargs() -> Dict[str, Any]

      Return the kwargs used to create this element.

      :returns: Keyword argument dictionary