:py:mod:`symfem.polynomials.lobatto`
====================================

.. py:module:: symfem.polynomials.lobatto

.. autoapi-nested-parse::

   Lobatto polynomials.



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


Functions
~~~~~~~~~

.. autoapisummary::

   symfem.polynomials.lobatto.lobatto_basis_interval
   symfem.polynomials.lobatto.lobatto_dual_basis_interval
   symfem.polynomials.lobatto.lobatto_basis
   symfem.polynomials.lobatto.lobatto_dual_basis



.. py:function:: lobatto_basis_interval(order: int) -> List[symfem.functions.ScalarFunction]

   Get Lobatto polynomials on an interval.

   :param order: The maximum polynomial degree

   :returns: Lobatto polynomials


.. py:function:: lobatto_dual_basis_interval(order: int) -> List[symfem.functions.ScalarFunction]

   Get L2 dual of Lobatto polynomials on an interval.

   :param order: The maximum polynomial degree

   :returns: Dual Lobatto polynomials


.. py:function:: lobatto_basis(cell: str, order: int, include_endpoints: bool = True) -> List[symfem.functions.ScalarFunction]

   Get Lobatto polynomials.

   :param cell: The cell type
   :param order: The maximum polynomial degree
   :param include_endpoint: should polynomials that are non-zero on the boundary be included?

   :returns: Lobatto polynomials


.. py:function:: lobatto_dual_basis(cell: str, order: int, include_endpoints: bool = True) -> List[symfem.functions.ScalarFunction]

   Get L2 dual of Lobatto polynomials.

   :param cell: The cell type
   :param order: The maximum polynomial degree
   :param include_endpoint: should polynomials that are non-zero on the boundary be included?

   :returns: Lobatto polynomials