#include <geom.hpp>

Classes
struct	Constants

struct	Constants< Geometry::CUBE >

struct	Constants< Geometry::POINT >

struct	Constants< Geometry::PRISM >

struct	Constants< Geometry::SEGMENT >

struct	Constants< Geometry::SQUARE >

struct	Constants< Geometry::TETRAHEDRON >

struct	Constants< Geometry::TRIANGLE >

Public Types
enum	Type { INVALID = -1, POINT = 0, SEGMENT, TRIANGLE, SQUARE, TETRAHEDRON, CUBE, PRISM, NUM_GEOMETRIES }

Public Member Functions
	Geometry ()

	~Geometry ()

const IntegrationRule *	GetVertices (int GeomType)
	Return an IntegrationRule consisting of all vertices of the given Geometry::Type, GeomType. More...

const IntegrationPoint &	GetCenter (int GeomType)
	Return the center of the given Geometry::Type, GeomType. More...

const DenseMatrix &	GetGeomToPerfGeomJac (int GeomType) const

DenseMatrix *	GetPerfGeomToGeomJac (int GeomType)

void	GetPerfPointMat (int GeomType, DenseMatrix &pm)

void	JacToPerfJac (int GeomType, const DenseMatrix &J, DenseMatrix &PJ) const

int	NumBdr (int GeomType)
	Return the number of boundary "faces" of a given Geometry::Type. More...

Static Public Member Functions
static void	GetRandomPoint (int GeomType, IntegrationPoint &ip)
	Get a random point in the reference element specified by GeomType. More...

static bool	CheckPoint (int GeomType, const IntegrationPoint &ip)
	Check if the given point is inside the given reference element. More...

static bool	CheckPoint (int GeomType, const IntegrationPoint &ip, double eps)
	Check if the given point is inside the given reference element. Overload for fuzzy tolerance. More...

static bool	ProjectPoint (int GeomType, const IntegrationPoint &beg, IntegrationPoint &end)
	Project a point end, onto the given Geometry::Type, GeomType. More...

static bool	ProjectPoint (int GeomType, IntegrationPoint &ip)
	Project a point ip, onto the given Geometry::Type, GeomType. More...

static bool	IsTensorProduct (Type geom)

static Type	TensorProductGeometry (int dim)

Static Public Attributes
static const int	NumGeom = NUM_GEOMETRIES

static const int	MaxDim = 3

static const int	NumBdrArray [NumGeom] = { 0, 2, 3, 4, 4, 6, 5 }

static const char *	Name [NumGeom]

static const double	Volume [NumGeom]

static const int	Dimension [NumGeom] = { 0, 1, 2, 2, 3, 3, 3 }

static const int	DimStart [MaxDim+2]

static const int	NumVerts [NumGeom] = { 1, 2, 3, 4, 4, 8, 6 }

static const int	NumEdges [NumGeom] = { 0, 1, 3, 4, 6, 12, 9 }

static const int	NumFaces [NumGeom] = { 0, 0, 1, 1, 4, 6, 5 }

Detailed Description

Types of domains for integration rules and reference finite elements: Geometry::POINT - a point Geometry::SEGMENT - the interval [0,1] Geometry::TRIANGLE - triangle with vertices (0,0), (1,0), (0,1) Geometry::SQUARE - the unit square (0,1)x(0,1) Geometry::TETRAHEDRON - w/ vert. (0,0,0),(1,0,0),(0,1,0),(0,0,1) Geometry::CUBE - the unit cube Geometry::PRISM - w/ vert. (0,0,0),(1,0,0),(0,1,0),(0,0,1),(1,0,1),(0,1,1)

Definition at line 31 of file geom.hpp.

Member Enumeration Documentation

enum mfem::Geometry::Type

Enumerator
INVALID
POINT
SEGMENT
TRIANGLE
SQUARE
TETRAHEDRON
CUBE
PRISM
NUM_GEOMETRIES

Definition at line 34 of file geom.hpp.

Constructor & Destructor Documentation

mfem::Geometry::Geometry ( )

Definition at line 24 of file geom.cpp.

mfem::Geometry::~Geometry ( )

Definition at line 215 of file geom.cpp.

Member Function Documentation

bool mfem::Geometry::CheckPoint	(	int	GeomType,
		const IntegrationPoint &	ip
	)

static

Check if the given point is inside the given reference element.

Definition at line 345 of file geom.cpp.

bool mfem::Geometry::CheckPoint	(	int	GeomType,
		const IntegrationPoint &	ip,
		double	eps
	)

static

Check if the given point is inside the given reference element. Overload for fuzzy tolerance.

Definition at line 380 of file geom.cpp.

const IntegrationPoint& mfem::Geometry::GetCenter ( int GeomType )

inline

Return the center of the given Geometry::Type, GeomType.

Definition at line 70 of file geom.hpp.

const DenseMatrix& mfem::Geometry::GetGeomToPerfGeomJac ( int GeomType ) const

inline

Definition at line 97 of file geom.hpp.

DenseMatrix* mfem::Geometry::GetPerfGeomToGeomJac ( int GeomType )

inline

Definition at line 99 of file geom.hpp.

void mfem::Geometry::GetPerfPointMat	(	int	GeomType,
		DenseMatrix &	pm
	)

Definition at line 661 of file geom.cpp.

void mfem::Geometry::GetRandomPoint	(	int	GeomType,
		IntegrationPoint &	ip
	)

static

Get a random point in the reference element specified by GeomType.

This method uses the function rand() for random number generation.

Definition at line 244 of file geom.cpp.

const IntegrationRule * mfem::Geometry::GetVertices ( int GeomType )

Return an IntegrationRule consisting of all vertices of the given Geometry::Type, GeomType.

Definition at line 225 of file geom.cpp.

static bool mfem::Geometry::IsTensorProduct ( Type geom )

inlinestatic

Returns true if the given geom is of tensor-product type (i.e. if geom is a segment, quadrilateral, or hexahedron), returns false otherwise.

Definition at line 107 of file geom.hpp.

void mfem::Geometry::JacToPerfJac	(	int	GeomType,
		const DenseMatrix &	J,
		DenseMatrix &	PJ
	)		const

Definition at line 734 of file geom.cpp.

int mfem::Geometry::NumBdr ( int GeomType )

inline

Return the number of boundary "faces" of a given Geometry::Type.

Definition at line 125 of file geom.hpp.

bool mfem::Geometry::ProjectPoint	(	int	GeomType,
		const IntegrationPoint &	beg,
		IntegrationPoint &	end
	)

static

Project a point end, onto the given Geometry::Type, GeomType.

Check if the end point is inside the reference element, if not overwrite it with the point on the boundary that lies on the line segment between beg and end (beg must be inside the element). Return true if end is inside the element, and false otherwise.

Definition at line 508 of file geom.cpp.

bool mfem::Geometry::ProjectPoint	(	int	GeomType,
		IntegrationPoint &	ip
	)

static

Project a point ip, onto the given Geometry::Type, GeomType.

If ip is outside the element, replace it with the point on the boundary that is closest to the original ip and return false; otherwise, return true without changing ip.

Definition at line 565 of file geom.cpp.

static Type mfem::Geometry::TensorProductGeometry ( int dim )

inlinestatic

Returns the Geometry::Type corresponding to a tensor-product of the given dimension.

Definition at line 112 of file geom.hpp.

Member Data Documentation

const int mfem::Geometry::Dimension = { 0, 1, 2, 2, 3, 3, 3 }

static

Definition at line 46 of file geom.hpp.

const int mfem::Geometry::DimStart

static

Initial value:

=

{ POINT, SEGMENT, TRIANGLE, TETRAHEDRON, NUM_GEOMETRIES }

Definition at line 47 of file geom.hpp.

const int mfem::Geometry::MaxDim = 3

static

Definition at line 42 of file geom.hpp.

const char * mfem::Geometry::Name

static

Initial value:

=

{ "Point", "Segment", "Triangle", "Square", "Tetrahedron", "Cube", "Prism" }

Definition at line 44 of file geom.hpp.

const int mfem::Geometry::NumBdrArray = { 0, 2, 3, 4, 4, 6, 5 }

static

Definition at line 43 of file geom.hpp.

const int mfem::Geometry::NumEdges = { 0, 1, 3, 4, 6, 12, 9 }

static

Definition at line 49 of file geom.hpp.

const int mfem::Geometry::NumFaces = { 0, 0, 1, 1, 4, 6, 5 }

static

Definition at line 50 of file geom.hpp.

const int mfem::Geometry::NumGeom = NUM_GEOMETRIES

static

Definition at line 41 of file geom.hpp.

const int mfem::Geometry::NumVerts = { 1, 2, 3, 4, 4, 8, 6 }

static

Definition at line 48 of file geom.hpp.

const double mfem::Geometry::Volume

static

Initial value:

=

{ 1.0, 1.0, 0.5, 1.0, 1./6, 1.0, 0.5 }

Definition at line 45 of file geom.hpp.

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

fem/geom.hpp
fem/geom.cpp

Classes

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation