:py:mod:`bempp.api.space.scalar_spaces`
=======================================

.. py:module:: bempp.api.space.scalar_spaces

.. autoapi-nested-parse::

   Definition of scalar function spaces.



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


Functions
~~~~~~~~~

.. autoapisummary::

   bempp.api.space.scalar_spaces.p0_discontinuous_function_space
   bempp.api.space.scalar_spaces.p0_barycentric_discontinuous_function_space
   bempp.api.space.scalar_spaces.p1_discontinuous_function_space
   bempp.api.space.scalar_spaces.p1_continuous_function_space
   bempp.api.space.scalar_spaces.p1_barycentric_continuous_function_space
   bempp.api.space.scalar_spaces.generate_p1_map
   bempp.api.space.scalar_spaces._compute_p1_dof_map
   bempp.api.space.scalar_spaces._numba_p0_surface_gradient
   bempp.api.space.scalar_spaces._numba_p1_surface_gradient



.. py:function:: p0_discontinuous_function_space(grid, support_elements=None, segments=None, swapped_normals=None, include_boundary_dofs=None, truncate_at_segment_edge=None)

   Define a space of piecewise constant functions.


.. py:function:: p0_barycentric_discontinuous_function_space(coarse_space)

   Define a space of piecewise constant functions over a barycentric grid.


.. py:function:: p1_discontinuous_function_space(grid, support_elements=None, segments=None, swapped_normals=None, include_boundary_dofs=None, truncate_at_segment_edge=None)

   Define a discontinuous space of piecewise linear functions.


.. py:function:: p1_continuous_function_space(grid, support_elements=None, segments=None, swapped_normals=None, include_boundary_dofs=False, truncate_at_segment_edge=True)

   Define a space of continuous piecewise linear functions.


.. py:function:: p1_barycentric_continuous_function_space(coarse_space)

   Define a space of piecewise constant functions over a barycentric grid.


.. py:function:: generate_p1_map(grid_data, support_elements, coeffs)

   Actually generate the sparse matrix data.


.. py:function:: _compute_p1_dof_map(grid_data, support, include_boundary_dofs, truncate_at_segment_edge, vertex_neighbors, index_ptr)

   Compute the local2global and local_multipliers maps for P1 space.


.. py:function:: _numba_p0_surface_gradient(element_index, shapeset_gradient, local_coordinates, grid_data, local_multipliers, normal_multipliers)

   Evaluate the surface gradient.


.. py:function:: _numba_p1_surface_gradient(element_index, shapeset_gradient, local_coordinates, grid_data, local_multipliers, normal_multipliers)

   Evaluate the surface gradient.