StencilFactory.h File Reference

#include "Stencil.h"
#include <bitset>
#include <functional>

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Namespaces
namespace	toolbox
namespace	toolbox::finiteelements
	Derive Element-wise Matrices From Stencils.

Functions
void	toolbox::finiteelements::preprocessBoundaryStencil (Stencil &stencil, const std::bitset< Dimensions *2 > &boundaryFaceNormals)
	Preprocess boundary stencils held by boundary vertices.
Stencil	toolbox::finiteelements::exchangeCoordinates (const Stencil &stencil, int coord0, int coord1)
	Exchanges the coordinates of a stencil.
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DMassStencil ()
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DLaplaceStencil ()
	Stencil is not scaled at all with any mesh width.
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DIdentity ()
	Stencil is not scaled at all with any mesh width.
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DLeftIdentity ()
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DRightIdentity ()
tarch::la::Vector< 5, double >	toolbox::finiteelements::get1DLinearInterpolationStencil ()
	Stencil is not scaled at all with any mesh width.
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DMeanValueStencil ()
	Stencil is not scaled at all with any mesh width.
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DDownwindStencil ()
	Stencil is not scaled at all with any mesh width.
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DUpwindStencil ()
tarch::la::Vector< 3, double >	toolbox::finiteelements::get1DCentralDifferencesStencil ()
tarch::la::Vector< 3 *3, double >	toolbox::finiteelements::stencilProduct (const tarch::la::Vector< 3, double > &a, const tarch::la::Vector< 3, double > &b)
	Makes stencil-product of two stencils:
tarch::la::Vector< 5 *5, double >	toolbox::finiteelements::stencilProduct (const tarch::la::Vector< 5, double > &a, const tarch::la::Vector< 5, double > &b)
tarch::la::Vector< 3 *3 *3, double >	toolbox::finiteelements::stencilProduct (const tarch::la::Vector< 3, double > &a, const tarch::la::Vector< 3, double > &b, const tarch::la::Vector< 3, double > &c)
	Equals a * (b*c)
tarch::la::Vector< 5 *5 *5, double >	toolbox::finiteelements::stencilProduct (const tarch::la::Vector< 5, double > &a, const tarch::la::Vector< 5, double > &b, const tarch::la::Vector< 5, double > &c)
tarch::la::Vector< 3 *3 *3 *3, double >	toolbox::finiteelements::stencilProduct (const tarch::la::Vector< 3, double > &a, const tarch::la::Vector< 3, double > &b, const tarch::la::Vector< 3, double > &c, const tarch::la::Vector< 3, double > &d)
tarch::la::Vector< 5 *5 *5 *5, double >	toolbox::finiteelements::stencilProduct (const tarch::la::Vector< 5, double > &a, const tarch::la::Vector< 5, double > &b, const tarch::la::Vector< 5, double > &c, const tarch::la::Vector< 5, double > &d)
tarch::la::Vector< 3 *3 *3 *3 *3, double >	toolbox::finiteelements::stencilProduct (const tarch::la::Vector< 3, double > &a, const tarch::la::Vector< 3, double > &b, const tarch::la::Vector< 3, double > &c, const tarch::la::Vector< 3, double > &d, const tarch::la::Vector< 3, double > &e)
tarch::la::Vector< 5 *5 *5 *5 *5, double >	toolbox::finiteelements::stencilProduct (const tarch::la::Vector< 5, double > &a, const tarch::la::Vector< 5, double > &b, const tarch::la::Vector< 5, double > &c, const tarch::la::Vector< 5, double > &d, const tarch::la::Vector< 5, double > &e)
tarch::la::Vector< ThreePowerD, double >	toolbox::finiteelements::getLaplacian (const tarch::la::Vector< Dimensions, double > &h, const tarch::la::Vector< Dimensions, double > &scaling=1.0)
	Computes the Laplacian.
tarch::la::Vector< ThreePowerD, std::complex< double > >	toolbox::finiteelements::getLaplacian (const tarch::la::Vector< Dimensions, std::complex< double > > &h, const tarch::la::Vector< Dimensions, std::complex< double > > &scaling=std::complex< double >(1.0))
tarch::la::Vector< ThreePowerD, std::complex< double > >	toolbox::finiteelements::getLaplacian (const tarch::la::Vector< Dimensions, double > &h, const tarch::la::Vector< Dimensions, std::complex< double > > &scaling)
tarch::la::Vector< ThreePowerD, double >	toolbox::finiteelements::getUpwindDiscretisedConvection (const tarch::la::Vector< Dimensions, double > &h, const tarch::la::Vector< Dimensions, double > &convCoeff)
	Computes a convection operator, defined by the convection coefficients, discretised with the first order upwind scheme.
void	toolbox::finiteelements::applyNeumannBC (tarch::la::Vector< ThreePowerD, double > &stencil, double &rhs, const std::bitset< Dimensions *2 > &boundaryFaceNormals, const tarch::la::Vector< Dimensions, double > &h, double derivative)
tarch::la::Vector< ThreePowerD, double >	toolbox::finiteelements::getMassMatrix (const tarch::la::Vector< Dimensions, double > &h)
	Computes the mass matrix.
tarch::la::Vector< ThreePowerD, std::complex< double > >	toolbox::finiteelements::getMassMatrix (const tarch::la::Vector< Dimensions, std::complex< double > > &h)
tarch::la::Vector< ThreePowerD, std::complex< double > >	toolbox::finiteelements::getHelmholtzShiftMatrix (const tarch::la::Vector< Dimensions, double > &h, const std::complex< double > &phi)
	Computes the Helmholtz shift term matrix.
tarch::la::Vector< ThreePowerD, std::complex< double > >	toolbox::finiteelements::getHelmholtzShiftMatrix (const tarch::la::Vector< Dimensions, std::complex< double > > &h, const std::complex< double > &phi)
tarch::la::Vector< ThreePowerD, double >	toolbox::finiteelements::getIdentity (const tarch::la::Vector< Dimensions, double > &h)
	Computes the mass matrix.
tarch::la::Vector< ThreePowerD, std::complex< double > >	toolbox::finiteelements::getIdentity (const tarch::la::Vector< Dimensions, std::complex< double > > &h)
tarch::la::Vector< FivePowerD, double >	toolbox::finiteelements::getDLinearInterpolation ()
	Computes the stencil for a d-linear interpolation.
Stencil	toolbox::finiteelements::extractElementStencil (const Stencil &stencil, const tarch::la::Vector< Dimensions, int > &adjacentCell)
	The standard stencil spans 2^d cells adjacent to a vertex.
ElementWiseAssemblyMatrix	toolbox::finiteelements::getPoissonMatrixWithJumpingCoefficient (const tarch::la::Vector< Dimensions, double > &cellCentre, const tarch::la::Vector< Dimensions, double > &h, int integrationPointsPerAxis, std::function< double(const tarch::la::Vector< Dimensions, double > &)>)
	Integrate over element with a subvoxel scheme (cmp.