bempp_cl.api.operators.boundary.laplace
=======================================

.. py:module:: bempp_cl.api.operators.boundary.laplace

.. autoapi-nested-parse::

   Interfaces to Laplace operators.



Functions
---------

.. autoapisummary::

   bempp_cl.api.operators.boundary.laplace.single_layer
   bempp_cl.api.operators.boundary.laplace.double_layer
   bempp_cl.api.operators.boundary.laplace.adjoint_double_layer
   bempp_cl.api.operators.boundary.laplace.hypersingular
   bempp_cl.api.operators.boundary.laplace.multitrace_operator


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

.. py:function:: single_layer(domain, range_, dual_to_range, parameters=None, assembler='default_nonlocal', device_interface=None, precision=None)

   Assemble the Laplace single-layer boundary operator.


.. py:function:: double_layer(domain, range_, dual_to_range, parameters=None, assembler='default_nonlocal', device_interface=None, precision=None)

   Assemble the Laplace double-layer boundary operator.


.. py:function:: adjoint_double_layer(domain, range_, dual_to_range, parameters=None, assembler='default_nonlocal', device_interface=None, precision=None)

   Assemble the Laplace adjoint double-layer boundary operator.


.. py:function:: hypersingular(domain, range_, dual_to_range, parameters=None, assembler='default_nonlocal', device_interface=None, precision=None)

   Assemble the Laplace hypersingular boundary operator.


.. py:function:: multitrace_operator(grid, target=None, space_type='p1', parameters=None, assembler='default_nonlocal', device_interface=None, precision=None)

   Simplified version of multitrace operator assembly.

   Parameters
   ----------
   grid : Grid
       Bempp grid object.
   target : Grid
       The grid for the range spaces. If target is None then
       target is set to the input grid (that is the domain
       grid).
   space_type : string
       Controls which discretisation spaces are used.
       Supported values:
       - "p1", which means that all operators are discretised
       with P1 basis functions.
       - "p1-dp0", which means that P1 basis functions are
       used for the first row and column, and DP0 for the second.
       - "p1-dual0", which means that P1 basis functions are
       used for the first row and column, and DUAL0 for the second.
   parameters : Parameters
       An optional parameters object.
   assembler : string
       The assembler type.
   device_interface : DeviceInterface
       The device interface object to be used.
   precision : string
       Either "single" or "double" for single or
       double precision mode.

   Output
   ------
   The Helmholtz multitrace operator of the form
   [[-dlp, slp], [hyp, adj_dlp]], where
   dlp : double layer boundary operator
   slp : single layer boundary operator
   hyp : hypersingular boundary operator
   adj_dlp : adjoint double layer boundary operator.