madness::DomainMaskInterface Class Reference

The interface for masking functions defined by signed distance functions. More...

#include <sdf_domainmask.h>

Inheritance diagram for madness::DomainMaskInterface:

Public Member Functions
virtual	~DomainMaskInterface ()
virtual double	dmask (double d) const =0
	Returns the derivative of the characteristic mask function with respect to the distance (from the surface)
virtual double	dsurface (double d) const =0
	Returns the derivative of the normalized surface layer function.
virtual double	mask (double d) const =0
	Returns the characteristic mask function.
virtual double	surface (double d) const =0
	Returns the value of the normalized surface layer function.

Detailed Description

The interface for masking functions defined by signed distance functions.

This interface was initially conceived for using shapes in MADNESS to specify internal boundary conditions. The signed distance function defines the shape, and this mask allows calculations of volumes, surfaces, etc.

Constructor & Destructor Documentation

~DomainMaskInterface()

virtual madness::DomainMaskInterface::~DomainMaskInterface ( )

inlinevirtual

Member Function Documentation

dmask()

virtual double madness::DomainMaskInterface::dmask ( double  d ) const

pure virtual

Returns the derivative of the characteristic mask function with respect to the distance (from the surface)

Parameters

[in]

d

The signed normal distance from the surface

Returns

Derivative of the characteristic mask function

Implemented in madness::LLRVDomainMask, and madness::GaussianDomainMask.

dsurface()

virtual double madness::DomainMaskInterface::dsurface ( double  d ) const

pure virtual

Returns the derivative of the normalized surface layer function.

Parameters

[in]

d

The signed normal distance from the surface

Returns

Derivative of the normalized surface layer function

Implemented in madness::LLRVDomainMask, and madness::GaussianDomainMask.

mask()

virtual double madness::DomainMaskInterface::mask ( double  d ) const

pure virtual

Returns the characteristic mask function.

• 1 in interior
• 0 in exterior
• 1/2 on boundary

Parameters

[in]

d

The signed distance from the surface

Returns

The mask or characteristic function

Implemented in madness::LLRVDomainMask, and madness::GaussianDomainMask.

Referenced by EmbeddedDirichlet::operator()().

surface()

virtual double madness::DomainMaskInterface::surface ( double  d ) const

pure virtual

Returns the value of the normalized surface layer function.

Normalized means the volume integral of this function should converge to the surface area in the limit of a either an infinitely thin surface or zero curvature. The function thus acts as a `‘delta function’' located at the boundary.

Parameters

[in]

d

The signed normal distance from the surface

Returns

Normalized surface layer function

Implemented in madness::LLRVDomainMask, and madness::GaussianDomainMask.

Referenced by EmbeddedDirichlet::operator()().

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

• sdf_domainmask.h