jive::geom Namespace Reference

This namespace contains a collection of shape classes that encapsulate the geometrical properties of a finite element. More...

Classes
class	BezierExtension
class	BezierExtractor
class	BiQuadraticQuad
	Constructs shape objects that encapsulate the geometrical properties of bi-quadratic quadrilateral elements. More...
class	BoundaryHex8
class	BoundaryLine2
class	BoundaryLine3
class	BoundaryLine4
class	BoundaryPoint
class	BoundaryQuad12
class	BoundaryQuad4
class	BoundaryQuad6
class	BoundaryQuad8
class	BoundaryQuad9
class	BoundaryShape
	Encapsulates the geometrical properties of a boundary of a finite element. More...
class	BoundaryTriangle3
class	BoundaryTriangle6
class	BoxArray
class	BoxManager
class	BShapeFactory
class	CustomShapeTable
class	Geometries
class	Globdat
class	Grad2Extension
class	GridBoxManager
class	HyperHex
class	HyperHex16
class	IntegrationSchemes
class	InterfaceShape
class	InternalShape
	Encapsulates the geometrical properties of a regular, internal element. More...
class	IShapeFactory
class	LinearHexahedron
	Constructs shape objects that encapsulate the geometrical properties of linear hexahedron elements. More...
class	LinearLine
	Constructs shape objects that encapsulate the geometrical properties of linear line elements. More...
class	LinearQuad
	Constructs shape objects that encapsulate the geometrical properties of linear quadrilateral elements. More...
class	LinearTetrahedron
	Constructs shape objects that encapsulate the geometrical properties of linear tetrahedron elements. More...
class	LinearTriangle
	Constructs shape objects that encapsulate the geometrical properties of linear triangle elements. More...
class	MaskMatrix
class	Parametric4DShape
class	Parametric4DSurf
class	ParametricArea
class	ParametricBoundary
class	ParametricEdge
class	ParametricLine
class	ParametricShape
class	ParametricSurface
class	ParametricUtils
class	ParametricVolume
class	PropertyNames
class	QuadraticHexahedron
	Constructs shape objects that encapsulate the geometrical properties of quadratic hexahedron elements. More...
class	QuadraticLine
	Constructs shape objects that encapsulate the geometrical properties of quadratic line elements. More...
class	QuadraticQuad
	Constructs shape objects that encapsulate the geometrical properties of quadratic quadrilateral elements. More...
class	QuadraticTetrahedron
	Constructs shape objects that encapsulate the geometrical properties of quadratic tetrahedron elements. More...
class	QuadraticTriangle
	Constructs shape objects that encapsulate the geometrical properties of quadratic triangle elements. More...
class	Shape
	Encapsulates the geometrical properties of a finite element. More...
class	ShapeBoundary
class	ShapeFactory
class	ShapeTable
class	ShapeTableFactory
class	SimpleBoxManager
class	SimpleMaskMatrix
class	SimpleShapeTable
class	StdBezierShape
class	StdBoundary
class	StdCube
class	StdCube16
class	StdCube20
class	StdCube27B
class	StdCube3Bx2x2
class	StdCube8
class	StdEdge
class	StdHyperCube
class	StdHyperCube16
class	StdLine
class	StdLine2
class	StdLine2C1
class	StdLine3
class	StdLine3B
class	StdLine4
class	StdLine4B
class	StdLine5B
class	StdLine6B
class	StdPrism
class	StdPumShape
class	StdShape
	Encapsulates the geometrical properties of a finite element in its local coordinate system. More...
class	StdShapeFactory
class	StdShapeTable
class	StdSquare
class	StdSquare12
class	StdSquare16B
class	StdSquare25B
class	StdSquare3Bx2
class	StdSquare4
class	StdSquare4Bx2
class	StdSquare4Bx3B
class	StdSquare5Bx2
class	StdSquare5Bx3B
class	StdSquare6
class	StdSquare6Bx3B
class	StdSquare8
class	StdSquare9
class	StdSquare9B
class	StdTetrahedron
class	StdTetrahedron10
class	StdTetrahedron4
class	StdTriangle
class	StdTriangle3
class	StdTriangle6
class	StdWedge
class	StdWedge18
class	StdWedge6
class	TrueMaskMatrix
class	TypeDefs
	Contains commonly used type definitions. More...
class	Wedge
class	Wedge18
class	Wedge6

Typedefs
typedef BoundaryLine2	LinearBoundaryLine
typedef BoundaryLine3	QuadraticBoundaryLine
typedef BoundaryQuad4	LinearBoundaryQuad
typedef BoundaryQuad8	QuadraticBoundaryQuad
typedef BoundaryQuad9	BiQuadraticBoundaryQuad
typedef BoundaryTriangle3	LinearBoundaryTriangle
typedef BoundaryTriangle6	QuadraticBoundaryTriangle
typedef IntegrationSchemes	ISchemes
typedef InterfaceShape	FShape
typedef PropertyNames	PropNames
typedef StdShape	SShape
typedef InternalShape	IShape
typedef BoundaryShape	BShape
typedef jem::Array< Ref< Shape > >	ShapeVector
typedef jem::Array< Ref< SShape > >	SShapeVector
typedef jem::Array< Ref< IShape > >	IShapeVector
typedef jem::Array< Ref< BShape > >	BShapeVector
typedef jem::Array< Ref< FShape > >	FShapeVector
typedef jem::Array< Ref< StdBoundary > >	SBShapeVector
typedef jem::Array< Ref< Shape >, 2 >	ShapeMatrix
typedef jem::Array< Ref< SShape >, 2 >	SShapeMatrix
typedef jem::Array< Ref< IShape >, 2 >	IShapeMatrix
typedef jem::Array< Ref< BShape >, 2 >	BShapeMatrix
typedef jem::Array< Ref< FShape >, 2 >	FShapeMatrix
typedef StdCube8	StdLinearCube
typedef StdCube20	StdQuadraticCube
typedef StdLine2	StdLinearLine
typedef StdLine3	StdQuadraticLine
typedef StdSquare4	StdLinearSquare
typedef StdSquare8	StdQuadraticSquare
typedef StdSquare9	StdBiQuadraticSquare
typedef StdTetrahedron4	StdLinearTetrahedron
typedef StdTetrahedron10	StdQuadraticTetrahedron
typedef StdTriangle3	StdLinearTriangle
typedef StdTriangle6	StdQuadraticTriangle
typedef StdWedge6	StdLinearWedge
typedef StdWedge18	StdBiQuadraticWedge
typedef jem::Tuple< double, 1 >	Vec1
typedef jem::Tuple< double, 2 >	Vec2
typedef jem::Tuple< double, 3 >	Vec3
typedef jem::Tuple< double, 4 >	Vec4
typedef jem::Tuple< idx_t, 1 >	IdxVec1
typedef jem::Tuple< idx_t, 2 >	IdxVec2
typedef jem::Tuple< idx_t, 3 >	IdxVec3
typedef jem::Tuple< idx_t, 4 >	IdxVec4
typedef jem::Tuple< double, 1, 1 >	Mat1x1
typedef jem::Tuple< double, 2, 2 >	Mat2x2
typedef jem::Tuple< double, 3, 2 >	Mat3x2
typedef jem::Tuple< double, 3, 3 >	Mat3x3
typedef jem::Tuple< double, 4, 4 >	Mat4x4
typedef jem::Tuple< double, 6, 3 >	Mat6x3
typedef jem::Tuple< double, 6, 6 >	Mat6x6
typedef Wedge6	LinearWedge
typedef Wedge18	BiQuadraticWedge

Functions
void	matmul (const Vector &lhs, const BezierExtractor &bez, const Vector &rhs)
void	matmul (const Matrix &lhs, const BezierExtractor &bez, const Matrix &rhs)
void	decode (DataInput &in, BezierExtractor &bez)
void	encode (DataOutput &out, const BezierExtractor &bez)
void	findMinMaxBoxes (int &jmin, int &jmax, const util::Matrix &boxes)
	Finds the boxes with the smallest and largest size. More...
double	sizeofBox (const util::Vector &box)
	Returns the size of a box. More...
double	sizeofSmallestBox (const util::Matrix &boxes)
	Returns the size of the smallest box in an array of boxes. More...
void	getBoxSizes (const util::Vector &sizes, const util::Matrix &boxes)
	Computes the sizes of an array of boxes. More...
void	getBoxCenter (const util::Vector &center, const util::Vector &box)
	Computes the center of a box. More...
void	getBoxCenters (const util::Matrix &centers, const util::Matrix &boxes)
	Computes the centers of an array of boxes. More...
void	makeBox (const util::Vector &box, const util::Vector &center, double size)
	Creates a box given its center and size. More...
void	makeBoxes (const util::Matrix &boxes, const util::Matrix &centers, double size)
	Creates an array of boxes with a constant size. More...
void	makeBoxes (const util::Matrix &boxes, const util::Matrix &centers, const util::Vector &sizes)
	Creates an array of boxes with varying sizes. More...
void	scaleBox (const util::Vector &box, double scale)
	Scales a box. More...
void	scaleBoxes (const util::Matrix &boxes, double scale)
	Scales an array of boxes with a constant scale factor. More...
void	scaleBoxes (const util::Matrix &boxes, const util::Vector &scales)
	Scales an array of boxes with varying scale factors. More...
template<class Input >
void	decode (Input &in, BoxArray &ba)
template<class Output >
void	encode (Output &out, const BoxArray &ba)
void	declareShapes ()
void	declare1DShapes ()
void	declare2DShapes ()
void	declare3DShapes ()
void	declare4DShapes ()
void	declareSShapes ()
void	declare1DSShapes ()
void	declare2DSShapes ()
void	declare3DSShapes ()
void	declare4DSShapes ()
void	declareIShapes ()
void	declare1DIShapes ()
void	declare2DIShapes ()
void	declare3DIShapes ()
void	declare4DIShapes ()
void	declareBShapes ()
void	declare1DBShapes ()
void	declare2DBShapes ()
void	declare3DBShapes ()
void	declare4DBShapes ()
void	declareGenericShapes ()
void	singularMatrixError (const String &context, const String &matName)
void	zeroVectorError (const String &context, const String &vecName)
IShapeVector	toIShapes (const ShapeVector &shapes)
IShapeMatrix	toIShapes (const ShapeMatrix &shapes)
BShapeVector	toBShapes (const ShapeVector &shapes)
BShapeMatrix	toBShapes (const ShapeMatrix &shapes)
FShapeVector	toFShapes (const ShapeVector &shapes)
FShapeMatrix	toFShapes (const ShapeMatrix &shapes)
void	decode (ObjectInput &in, ShapeBoundary &sb)
void	encode (ObjectOutput &out, const ShapeBoundary &sb)
util::TopoVector	getTopologies (const IShapeVector &shapes)
void	getGrad2Map (const IdxVector &imap, const IdxVector &jmap, idx_t rank)
template<int M, int N>
void	getJacobi (Tuple< double, M, N > &ja, const Matrix &grads, const Matrix &coords)
template<int M, int N>
void	getJacobi (Tuple< double, M, N > &ja, const Cubix &grads, idx_t ip, const Matrix &coords)
template<int M, int N>
void	applyJacobi (const Matrix &ggrads, const Tuple< double, M, N > &ja, const Matrix &sgrads)
template<int M, int N>
void	applyJacobi (const Cubix &ggrads, const Tuple< double, M, N > &ja, const Cubix &sgrads, idx_t ip)
void	getQujobi (const Matrix &qu, const Matrix &ja)
template<int M, int N, int P, int Q>
void	getQujobi (Tuple< double, M, N > &qu, const Tuple< double, P, Q > &ja)
template<int M>
void	getGlobalPoint (Tuple< double, M > &x, const Vector &funcs, const Matrix &coords)
template<int M>
void	getGlobalPoint (Tuple< double, M > &x, const Matrix &funcs, idx_t ip, const Matrix &coords)
void	getQujobi (Tuple< double, 1, 1 > &qu, const Tuple< double, 1, 1 > &ja)
void	getQujobi (Tuple< double, 3, 3 > &qu, const Tuple< double, 2, 2 > &ja)

Detailed Description

The namespace jive::geom contains a collection of shape classes that encapsulate the geometrical properties of a finite element. Such a shape class can be used, among others, to evaluate the shape functions of an element and to evaluate the integral of a function over the domain of an element.

All classes and functions in this namespace can be found in the package jive.geom.

Typedef Documentation

typedef BoundaryLine2 jive::geom::LinearBoundaryLine

typedef BoundaryLine3 jive::geom::QuadraticBoundaryLine

typedef BoundaryQuad4 jive::geom::LinearBoundaryQuad

typedef BoundaryQuad8 jive::geom::QuadraticBoundaryQuad

typedef BoundaryQuad9 jive::geom::BiQuadraticBoundaryQuad

typedef BoundaryTriangle3 jive::geom::LinearBoundaryTriangle

typedef BoundaryTriangle6 jive::geom::QuadraticBoundaryTriangle

typedef IntegrationSchemes jive::geom::ISchemes

typedef InterfaceShape jive::geom::FShape

typedef PropertyNames jive::geom::PropNames

typedef StdShape jive::geom::SShape

typedef InternalShape jive::geom::IShape

typedef BoundaryShape jive::geom::BShape

typedef jem::Array< Ref<Shape> > jive::geom::ShapeVector

typedef jem::Array< Ref<SShape> > jive::geom::SShapeVector

typedef jem::Array< Ref<IShape> > jive::geom::IShapeVector

typedef jem::Array< Ref<BShape> > jive::geom::BShapeVector

typedef jem::Array< Ref<FShape> > jive::geom::FShapeVector

typedef jem::Array<Ref<StdBoundary> > jive::geom::SBShapeVector

typedef jem::Array< Ref<Shape>, 2 > jive::geom::ShapeMatrix

typedef jem::Array< Ref<SShape>, 2 > jive::geom::SShapeMatrix

typedef jem::Array< Ref<IShape>, 2 > jive::geom::IShapeMatrix

typedef jem::Array< Ref<BShape>, 2 > jive::geom::BShapeMatrix

typedef jem::Array< Ref<FShape>, 2 > jive::geom::FShapeMatrix

typedef StdCube8 jive::geom::StdLinearCube

typedef StdCube20 jive::geom::StdQuadraticCube

typedef StdLine2 jive::geom::StdLinearLine

typedef StdLine3 jive::geom::StdQuadraticLine

typedef StdSquare4 jive::geom::StdLinearSquare

typedef StdSquare8 jive::geom::StdQuadraticSquare

typedef StdSquare9 jive::geom::StdBiQuadraticSquare

typedef StdTetrahedron4 jive::geom::StdLinearTetrahedron

typedef StdTetrahedron10 jive::geom::StdQuadraticTetrahedron

typedef StdTriangle3 jive::geom::StdLinearTriangle

typedef StdTriangle6 jive::geom::StdQuadraticTriangle

typedef StdWedge6 jive::geom::StdLinearWedge

typedef StdWedge18 jive::geom::StdBiQuadraticWedge

typedef jem::Tuple<double,1> jive::geom::Vec1

typedef jem::Tuple<double,2> jive::geom::Vec2

typedef jem::Tuple<double,3> jive::geom::Vec3

typedef jem::Tuple<double,4> jive::geom::Vec4

typedef jem::Tuple<idx_t,1> jive::geom::IdxVec1

typedef jem::Tuple<idx_t,2> jive::geom::IdxVec2

typedef jem::Tuple<idx_t,3> jive::geom::IdxVec3

typedef jem::Tuple<idx_t,4> jive::geom::IdxVec4

typedef jem::Tuple<double,1,1> jive::geom::Mat1x1

typedef jem::Tuple<double,2,2> jive::geom::Mat2x2

typedef jem::Tuple<double,3,2> jive::geom::Mat3x2

typedef jem::Tuple<double,3,3> jive::geom::Mat3x3

typedef jem::Tuple<double,4,4> jive::geom::Mat4x4

typedef jem::Tuple<double,6,3> jive::geom::Mat6x3

typedef jem::Tuple<double,6,6> jive::geom::Mat6x6

typedef Wedge6 jive::geom::LinearWedge

typedef Wedge18 jive::geom::BiQuadraticWedge

Function Documentation

void jive::geom::matmul	(	const Vector &	lhs,
		const BezierExtractor &	bez,
		const Vector &	rhs
	)

void jive::geom::matmul	(	const Matrix &	lhs,
		const BezierExtractor &	bez,
		const Matrix &	rhs
	)

void jive::geom::decode	(	DataInput &	in,
		BezierExtractor &	bez
	)

void jive::geom::encode	(	DataOutput &	out,
		const BezierExtractor &	bez
	)

template<class Input >

void jive::geom::decode	(	Input &	in,
		BoxArray &	ba
	)

template<class Output >

void jive::geom::encode	(	Output &	out,
		const BoxArray &	ba
	)

void jive::geom::declareShapes

(

)

void jive::geom::declare1DShapes

(

)

void jive::geom::declare2DShapes

(

)

void jive::geom::declare3DShapes

(

)

void jive::geom::declare4DShapes

(

)

void jive::geom::declareSShapes

(

)

void jive::geom::declare1DSShapes

(

)

void jive::geom::declare2DSShapes

(

)

void jive::geom::declare3DSShapes

(

)

void jive::geom::declare4DSShapes

(

)

void jive::geom::declareIShapes

(

)

void jive::geom::declare1DIShapes

(

)

void jive::geom::declare2DIShapes

(

)

void jive::geom::declare3DIShapes

(

)

void jive::geom::declare4DIShapes

(

)

void jive::geom::declareBShapes

(

)

void jive::geom::declare1DBShapes

(

)

void jive::geom::declare2DBShapes

(

)

void jive::geom::declare3DBShapes

(

)

void jive::geom::declare4DBShapes

(

)

void jive::geom::declareGenericShapes

(

)

void jive::geom::singularMatrixError	(	const String &	context,
		const String &	matName
	)

void jive::geom::zeroVectorError	(	const String &	context,
		const String &	vecName
	)

IShapeVector jive::geom::toIShapes

(

const ShapeVector &

shapes

)

IShapeMatrix jive::geom::toIShapes

(

const ShapeMatrix &

shapes

)

BShapeVector jive::geom::toBShapes

(

const ShapeVector &

shapes

)

BShapeMatrix jive::geom::toBShapes

(

const ShapeMatrix &

shapes

)

FShapeVector jive::geom::toFShapes

(

const ShapeVector &

shapes

)

FShapeMatrix jive::geom::toFShapes

(

const ShapeMatrix &

shapes

)

void jive::geom::decode	(	ObjectInput &	in,
		ShapeBoundary &	sb
	)

void jive::geom::encode	(	ObjectOutput &	out,
		const ShapeBoundary &	sb
	)

util::TopoVector jive::geom::getTopologies

(

const IShapeVector &

shapes

)

void jive::geom::getGrad2Map	(	const IdxVector &	imap,
		const IdxVector &	jmap,
		idx_t	rank
	)

template<int M, int N>

void jive::geom::getJacobi	(	Tuple< double, M, N > &	ja,
		const Matrix &	grads,
		const Matrix &	coords
	)

template<int M, int N>

void jive::geom::getJacobi	(	Tuple< double, M, N > &	ja,
		const Cubix &	grads,
		idx_t	ip,
		const Matrix &	coords
	)

template<int M, int N>

void jive::geom::applyJacobi	(	const Matrix &	ggrads,
		const Tuple< double, M, N > &	ja,
		const Matrix &	sgrads
	)

template<int M, int N>

void jive::geom::applyJacobi	(	const Cubix &	ggrads,
		const Tuple< double, M, N > &	ja,
		const Cubix &	sgrads,
		idx_t	ip
	)

void jive::geom::getQujobi	(	const Matrix &	qu,
		const Matrix &	ja
	)

template<int M, int N, int P, int Q>

void jive::geom::getQujobi	(	Tuple< double, M, N > &	qu,
		const Tuple< double, P, Q > &	ja
	)

template<int M>

void jive::geom::getGlobalPoint	(	Tuple< double, M > &	x,
		const Vector &	funcs,
		const Matrix &	coords
	)

template<int M>

void jive::geom::getGlobalPoint	(	Tuple< double, M > &	x,
		const Matrix &	funcs,
		idx_t	ip,
		const Matrix &	coords
	)

void jive::geom::getQujobi	(	Tuple< double, 1, 1 > &	qu,
		const Tuple< double, 1, 1 > &	ja
	)

void jive::geom::getQujobi	(	Tuple< double, 3, 3 > &	qu,
		const Tuple< double, 2, 2 > &	ja
	)