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

.. py:module:: symfem.elements.trimmed_serendipity

.. autoapi-nested-parse::

   Trimmed serendipity elements on tensor products.

   These elements' definitions appear in https://doi.org/10.1137/16M1073352
   (Cockburn, Fu, 2017) and https://doi.org/10.1090/mcom/3354
   (Gilette, Kloefkorn, 2018)



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

Classes
~~~~~~~

.. autoapisummary::

   symfem.elements.trimmed_serendipity.TrimmedSerendipityHcurl
   symfem.elements.trimmed_serendipity.TrimmedSerendipityHdiv




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


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

   Trimmed serendipity Hcurl finite element.

   .. py:attribute:: names
      :value: ['trimmed serendipity Hcurl', 'TScurl']

      

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

      

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

      

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

      

   .. 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



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


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

   Trimmed serendipity Hdiv finite element.

   .. py:attribute:: names
      :value: ['trimmed serendipity Hdiv', 'TSdiv']

      

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

      

   .. 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