mfem::Geometry Class Reference

#include <geom.hpp>

Classes
struct	Constants
struct	Constants< Geometry::CUBE >
struct	Constants< Geometry::POINT >
struct	Constants< Geometry::SEGMENT >
struct	Constants< Geometry::SQUARE >
struct	Constants< Geometry::TETRAHEDRON >
struct	Constants< Geometry::TRIANGLE >

Public Types
enum	Type {   POINT, SEGMENT, TRIANGLE, SQUARE,   TETRAHEDRON, CUBE }

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 Public Attributes
static const int	NumGeom = 6
static const int	NumBdrArray [NumGeom] = { 0, 2, 3, 4, 4, 6 }
static const char *	Name [NumGeom]
static const double	Volume [NumGeom]
static const int	Dimension [NumGeom] = { 0, 1, 2, 2, 3, 3 }
static const int	NumVerts [NumGeom] = { 1, 2, 3, 4, 4, 8 }
static const int	NumEdges [NumGeom] = { 0, 1, 3, 4, 6, 12 }
static const int	NumFaces [NumGeom] = { 0, 0, 1, 1, 4, 6 }

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

Definition at line 29 of file geom.hpp.

Member Enumeration Documentation

enum mfem::Geometry::Type

Enumerator
POINT
SEGMENT
TRIANGLE
SQUARE
TETRAHEDRON
CUBE

Definition at line 32 of file geom.hpp.

Constructor & Destructor Documentation

mfem::Geometry::Geometry

(

)

Definition at line 23 of file geom.cpp.

mfem::Geometry::~Geometry

(

)

Definition at line 177 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 296 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 327 of file geom.cpp.

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

inline

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

Definition at line 61 of file geom.hpp.

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

inline

Definition at line 88 of file geom.hpp.

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

inline

Definition at line 90 of file geom.hpp.

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

Definition at line 582 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 205 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 187 of file geom.cpp.

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

Definition at line 643 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 97 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 445 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 496 of file geom.cpp.

Member Data Documentation

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

static

Definition at line 38 of file geom.hpp.

const char * mfem::Geometry::Name

static

Initial value:

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

Definition at line 36 of file geom.hpp.

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

static

Definition at line 35 of file geom.hpp.

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

static

Definition at line 40 of file geom.hpp.

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

static

Definition at line 41 of file geom.hpp.

const int mfem::Geometry::NumGeom = 6

static

Definition at line 34 of file geom.hpp.

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

static

Definition at line 39 of file geom.hpp.

const double mfem::Geometry::Volume

static

Initial value:

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

Definition at line 37 of file geom.hpp.

---

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

• geom.hpp
• geom.cpp