Abstract base class for embedded Dirichlet problems. More...

#include <test_problems.h>

Inheritance diagram for EmbeddedDirichlet:

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Collaboration diagram for EmbeddedDirichlet:

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Public Member Functions
	EmbeddedDirichlet (double penalty_prefact, std::string penalty_name, double eps, int k, double thresh, Mask mask)
	Sets up the data for the problem-inspecific parts.

virtual	~EmbeddedDirichlet ()

virtual std::vector< Vector< double, 3 > >	check_pts () const
	A list of points where we should compare the computed solution to the exact solution.

virtual double	DirichletCond (const Vector< double, 3 > &x) const =0

virtual double	ExactSol (const Vector< double, 3 > &x) const =0

virtual double	Inhomogeneity (const Vector< double, 3 > &x) const =0

void	load_balance (World &world, const Function< double, 3 > &f) const
	Load balances using the provided Function.

double	operator() (const Vector< double, 3 > &x) const
	The operator for projecting a MADNESS function.

void	printout () const
	Do a standard Printout of the problem details.

virtual double	SurfaceIntegral () const =0
	The surface area of the domain.

virtual double	VolumeIntegral () const =0
	The volume of the domain.

Public Member Functions inherited from madness::FunctionFunctorInterface< double, 3 >
	FunctionFunctorInterface ()

virtual	~FunctionFunctorInterface ()

virtual coeffT	coeff (const keyT &) const

virtual void	operator() (const Vector< double , 1 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 2 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 3 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 4 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 5 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 6 > &xvals, double fvals, int npts) const

virtual double	operator() (const Vector< double, NDIM > &x) const=0
	You should implement this to return `f(x)`

virtual bool	provides_coeff () const
	does this functor directly provide sum coefficients? or only function values?

virtual bool	screened (const Vector< double, NDIM > &c1, const Vector< double, NDIM > &c2) const
	Can we screen this function based on the bounding box information?

void	set_length_scale (double lo)
	adapt the special level to resolve the smallest length scale

virtual Level	special_level () const
	Override this to change the minimum level of refinement at special points (default is 6)

virtual std::vector< Vector< double, NDIM > >	special_points () const
	Override this to return list of special points to be refined more deeply.

virtual bool	supports_vectorized () const
	Does the interface support a vectorized operator()?

virtual coeffT	values (const keyT &key, const Tensor< double > &tensor) const

Public Attributes
FunctorOutput	fop

Public Attributes inherited from madness::FunctionFunctorInterface< double, 3 >
Level	special_level_

Protected Member Functions
virtual bool	isHomogeneous () const =0

Protected Attributes
DomainMaskInterface *	dmi

std::string	domain_mask_name

double	eps

double	penalty_prefact

std::string	problem_name

std::string	problem_specific_info

SignedDFInterface< 3 > *	sdfi

Private Member Functions
	EmbeddedDirichlet ()

Private Attributes
int	initial_level

int	k

std::string	penalty_name

double	thresh

Additional Inherited Members
Public Types inherited from madness::FunctionFunctorInterface< double, 3 >
typedef GenTensor< double >	coeffT

typedef Key< NDIM >	keyT

typedef double	value_type

Detailed Description

Abstract base class for embedded Dirichlet problems.

Constructor & Destructor Documentation

◆ EmbeddedDirichlet() [1/2]

EmbeddedDirichlet::EmbeddedDirichlet ( )

inlineprivate

◆ EmbeddedDirichlet() [2/2]

EmbeddedDirichlet::EmbeddedDirichlet	(	double	penalty_prefact,
		std::string	penalty_name,
		double	eps,
		int	k,
		double	thresh,
		Mask	mask
	)

inline

Sets up the data for the problem-inspecific parts.

Also sets the FunctionDefaults for the appropriate dimension.

References dmi, domain_mask_name, eps, madness::error(), Gaussian, initial_level, LLRV, mask, madness::nonlinear_vector_solver(), and madness::FunctionDefaults< NDIM >::set_initial_level().

◆ ~EmbeddedDirichlet()

virtual EmbeddedDirichlet::~EmbeddedDirichlet ( )

inlinevirtual

References dmi, and sdfi.

Member Function Documentation

◆ check_pts()

virtual std::vector< Vector< double, 3 > > EmbeddedDirichlet::check_pts ( ) const

inlinevirtual

A list of points where we should compare the computed solution to the exact solution.

Reimplemented in ConstantSphere, InhomoConstantSphere, CosineSphere, and Y20Sphere.

◆ DirichletCond()

virtual double EmbeddedDirichlet::DirichletCond ( const Vector< double, 3 > & x ) const

pure virtual

Implemented in ConstantSphere, InhomoConstantSphere, CosineSphere, and Y20Sphere.

Referenced by operator()().

◆ ExactSol()

virtual double EmbeddedDirichlet::ExactSol ( const Vector< double, 3 > & x ) const

pure virtual

Implemented in ConstantSphere, InhomoConstantSphere, CosineSphere, and Y20Sphere.

Referenced by operator()().

◆ Inhomogeneity()

virtual double EmbeddedDirichlet::Inhomogeneity ( const Vector< double, 3 > & x ) const

pure virtual

Implemented in ConstantSphere, InhomoConstantSphere, CosineSphere, and Y20Sphere.

Referenced by operator()().

◆ isHomogeneous()

virtual bool EmbeddedDirichlet::isHomogeneous ( ) const

protectedpure virtual

Implemented in ConstantSphere, InhomoConstantSphere, CosineSphere, and Y20Sphere.

Referenced by operator()().

◆ load_balance()

void EmbeddedDirichlet::load_balance	(	World &	world,
		const Function< double, 3 > &	f
	)		const

inline

Load balances using the provided Function.

References madness::LoadBalanceDeux< NDIM >::add_tree(), madness::f, madness::LoadBalanceDeux< NDIM >::load_balance(), and madness::FunctionDefaults< NDIM >::redistribute().

◆ operator()()

double EmbeddedDirichlet::operator() ( const Vector< double, 3 > & x ) const

inline

The operator for projecting a MADNESS function.

References DIRICHLET_RHS, DirichletCond(), dmi, DOMAIN_MASK, madness::error(), EXACT, ExactSol(), fop, Inhomogeneity(), isHomogeneous(), madness::DomainMaskInterface::mask(), penalty_prefact, madness::SignedDFInterface< NDIM >::sdf(), sdfi, SURFACE, and madness::DomainMaskInterface::surface().

◆ printout()

void EmbeddedDirichlet::printout ( ) const

inline

Do a standard Printout of the problem details.

References domain_mask_name, eps, k, madness::nonlinear_vector_solver(), penalty_name, penalty_prefact, problem_name, problem_specific_info, and thresh.

◆ SurfaceIntegral()

virtual double EmbeddedDirichlet::SurfaceIntegral ( ) const

pure virtual

The surface area of the domain.

Implemented in ConstantSphere, InhomoConstantSphere, CosineSphere, and Y20Sphere.

◆ VolumeIntegral()

virtual double EmbeddedDirichlet::VolumeIntegral ( ) const

pure virtual

The volume of the domain.

Implemented in ConstantSphere, InhomoConstantSphere, CosineSphere, and Y20Sphere.

Member Data Documentation

◆ dmi

DomainMaskInterface* EmbeddedDirichlet::dmi

protected

Referenced by EmbeddedDirichlet(), ~EmbeddedDirichlet(), and operator()().

◆ domain_mask_name

std::string EmbeddedDirichlet::domain_mask_name

protected

Referenced by EmbeddedDirichlet(), and printout().

◆ eps

double EmbeddedDirichlet::eps

protected

Referenced by EmbeddedDirichlet(), and printout().

◆ fop

FunctorOutput EmbeddedDirichlet::fop

which function to use when projecting:

the weighted surface (SURFACE)
the rhs of the auxiliary DE (DIRICHLET_RHS)
the exact solution (EXACT)
the domain mask (DOMAIN_MASK)

Referenced by operator()().

◆ initial_level

int EmbeddedDirichlet::initial_level

private

Referenced by EmbeddedDirichlet().

◆ k

int EmbeddedDirichlet::k

private

Referenced by printout().

◆ penalty_name

std::string EmbeddedDirichlet::penalty_name

private

Referenced by printout().

◆ penalty_prefact

double EmbeddedDirichlet::penalty_prefact

protected

Referenced by operator()(), and printout().

◆ problem_name

std::string EmbeddedDirichlet::problem_name

protected

Referenced by ConstantSphere::ConstantSphere(), CosineSphere::CosineSphere(), InhomoConstantSphere::InhomoConstantSphere(), Y20Sphere::Y20Sphere(), and printout().

◆ problem_specific_info

std::string EmbeddedDirichlet::problem_specific_info

protected

Referenced by ConstantSphere::ConstantSphere(), CosineSphere::CosineSphere(), InhomoConstantSphere::InhomoConstantSphere(), Y20Sphere::Y20Sphere(), and printout().

◆ sdfi

SignedDFInterface<3>* EmbeddedDirichlet::sdfi

protected

Referenced by ConstantSphere::ConstantSphere(), CosineSphere::CosineSphere(), InhomoConstantSphere::InhomoConstantSphere(), Y20Sphere::Y20Sphere(), ~EmbeddedDirichlet(), and operator()().

◆ thresh

double EmbeddedDirichlet::thresh

private

Referenced by printout().

The documentation for this class was generated from the following file:

test_problems.h

Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ EmbeddedDirichlet() [1/2]

◆ EmbeddedDirichlet() [2/2]

◆ ~EmbeddedDirichlet()

Member Function Documentation

◆ check_pts()

◆ DirichletCond()

◆ ExactSol()

◆ Inhomogeneity()

◆ isHomogeneous()

◆ load_balance()

◆ operator()()

◆ printout()

◆ SurfaceIntegral()

◆ VolumeIntegral()

Member Data Documentation

◆ dmi

◆ domain_mask_name

◆ eps

◆ fop

◆ initial_level

◆ k

◆ penalty_name

◆ penalty_prefact

◆ problem_name

◆ problem_specific_info

◆ sdfi

◆ thresh