:py:mod:`bempp.api.operators.boundary.helmholtz`
================================================

.. py:module:: bempp.api.operators.boundary.helmholtz

.. autoapi-nested-parse::

   Interfaces to Helmholtz operators.



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

Classes
~~~~~~~

.. autoapisummary::

   bempp.api.operators.boundary.helmholtz._OsrcDtN
   bempp.api.operators.boundary.helmholtz._OsrcNtD



Functions
~~~~~~~~~

.. autoapisummary::

   bempp.api.operators.boundary.helmholtz.single_layer
   bempp.api.operators.boundary.helmholtz.double_layer
   bempp.api.operators.boundary.helmholtz.adjoint_double_layer
   bempp.api.operators.boundary.helmholtz.hypersingular
   bempp.api.operators.boundary.helmholtz.multitrace_operator
   bempp.api.operators.boundary.helmholtz.osrc_dtn
   bempp.api.operators.boundary.helmholtz.osrc_ntd



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

   Assemble the Helmholtz single-layer boundary operator.


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

   Assemble the Helmholtz double-layer boundary operator.


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

   Assemble the Helmholtz adj. double-layer boundary operator.


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

   Assemble the Helmholtz hypersingular boundary operator.


.. py:function:: multitrace_operator(grid, wavenumber, 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.
   wavenumber : complex
       A real or complex wavenumber
   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
       Currently only "p1" is supported, which means
       that the operator is discretised with all P1 basis
       functions.
   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.



.. py:function:: osrc_dtn(space, wavenumber, npade=2, theta=_np.pi / 3.0, damped_wavenumber=None, parameters=None, device_interface=None, precision=None)

   Assemble the OSRC approximation to the DtN operator.


.. py:class:: _OsrcDtN(space, parameters, operator_options, device_interface=None, precision=None)


   Bases: :py:obj:`bempp.api.assembly.boundary_operator.BoundaryOperator`

   Implementation of the OSRC DtN operator.

   .. py:property:: descriptor

      Operator descriptor.


   .. py:method:: _assemble()

      Assemble the operator.



.. py:function:: osrc_ntd(space, wavenumber, npade=2, theta=_np.pi / 3.0, damped_wavenumber=None, parameters=None, device_interface=None, precision=None)

   Assemble the OSRC approximation to the NtD operator.


.. py:class:: _OsrcNtD(space, parameters, operator_options, device_interface=None, precision=None)


   Bases: :py:obj:`bempp.api.assembly.boundary_operator.BoundaryOperator`

   Implementation of the OSRC NtD operator.

   .. py:property:: descriptor

      Operator descriptor.


   .. py:method:: _assemble()