symfem.elements.gopalakrishnan_lederer_schoberl
===============================================

.. py:module:: symfem.elements.gopalakrishnan_lederer_schoberl

.. autoapi-nested-parse::

   Gopalakrishnan-Lederer-Schoberl elements on simplices.

   This element's definition appears in https://doi.org/10.34726/hss.2019.62042
   (Lederer, 2019) and https://doi.org/10.1137/19M1248960
   (Gopalakrishnan, Lederer, Schooberl, 2020).



Classes
-------

.. autoapisummary::

   symfem.elements.gopalakrishnan_lederer_schoberl.GopalakrishnanLedererSchoberl


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

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

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


   A Gopalakrishnan-Lederer-Schoberl element on a simplex.


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

      Return the kwargs used to create this element.

      :returns: Keyword argument dictionary



   .. py:property:: lagrange_subdegree
      :type: int


      Get the Lagrange subdegree of the element.

      This is the degree of the highest degree Lagrange space whose polynomial space is a
      subspace of this element's polynomial space.


   .. py:property:: lagrange_superdegree
      :type: int | None


      Get the Lagrange superdegree of the element.

      This is the degree of the highest degree Lagrange space whose polynomial space is a
      superspace of this element's polynomial space.


   .. py:property:: polynomial_subdegree
      :type: int


      Get the polynomial subdegree of the element.

      This is the degree of the highest degree complete polynomial space that is a
      subspace of this element's polynomial space.


   .. py:property:: polynomial_superdegree
      :type: int | None


      Get the polynomial superdegree of the element.

      This is the degree of the highest degree complete polynomial space that is a
      superspace of this element's polynomial space.


   .. py:attribute:: names
      :value: ['Gopalakrishnan-Lederer-Schoberl', 'GLS']



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



   .. py:attribute:: min_order
      :value: 0



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



   .. py:attribute:: value_type
      :value: 'matrix'



   .. py:attribute:: last_updated
      :value: '2025.12'