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

.. py:module:: symfem.elements.guzman_neilan

.. autoapi-nested-parse::

   Guzman-Neilan elements on simplices.

   This element's definition appears in https://doi.org/10.1137/17M1153467
   (Guzman and Neilan, 2018)



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

Classes
~~~~~~~

.. autoapisummary::

   symfem.elements.guzman_neilan.GuzmanNeilan



Functions
~~~~~~~~~

.. autoapisummary::

   symfem.elements.guzman_neilan.make_piecewise_lagrange



.. py:class:: GuzmanNeilan(reference: symfem.references.Reference, order: int)


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

   Guzman-Neilan Hdiv finite element.

   .. py:attribute:: names
      :value: ['Guzman-Neilan']

      

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

      

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

      

   .. py:attribute:: max_order

      

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

      

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

      

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

      Make the polyset for a triangle.

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

      :returns: The polynomial set


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

      Make the polyset for a tetrahedron.

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

      :returns: The polynomial set



.. py:function:: make_piecewise_lagrange(sub_cells: List[symfem.geometry.SetOfPoints], cell_name, order: int, zero_on_boundary: bool = False, zero_at_centre: bool = False) -> List[symfem.piecewise_functions.PiecewiseFunction]

   Make the basis functions of a piecewise Lagrange space.

   :param sub_cells: A list of vertices of sub cells
   :param cell_name: The cell type of the sub cells
   :param order: The polynomial order
   :param zero_in_boundary: Should the functions be zero on the boundary?
   :param zero_at_centre: Should the functions be zero at the centre?

   :returns: The basis functions