Class xlifepp::Quadrature

class Quadrature

Collaboration diagram for xlifepp::Quadrature:

Quadrature defines the quadrature rule in Finite Element Method.

Public Functions

Quadrature()

default constructor

Quadrature(ShapeType, QuadRule, number_t, const string_t&, bool pob = false)

constructor by shape, rule and number or polynomial degree

~Quadrature()

destructor

void centroidRule()

define centroid rule for any element

Quadrature *clone() const

clone of quadrature, not included in the list of quadratures

inline const std::vector<real_t> &coords() const

returns vector of point coordinates

inline dimen_t dim() const

dimension of points in formula

inline number_t numberOfPoints() const

number of points of quadrature rule

inline std::vector<real_t>::const_iterator point(number_t i = 0) const

get iterator to i-th quadrature point (0 <= i)

inline ShapeType shapeType() const

shape bearing the quadrature

void vertexRule()

define rule using all vertices for any element

inline std::vector<real_t>::const_iterator weight(number_t i = 0) const

get iterator to first quadrature weight

inline const std::vector<real_t> &weights() const

returns vector of weights

Public Members

number_t degree

degree of quadrature rule

GeomRefElement *geomRefElt_p

pointer to geometric reference element bearing quadrature rule

bool hasPointsOnBoundary

as it reads

string_t name

name of quadrature formula (for documentation purposes)

QuadratureRule quadratureRule

embedded QuadratureRule object

QuadRule rule

type of quadrature rule

Public Static Functions

static QuadRule bestQuadRule(ShapeType, number_t)

best QuadRule to be used to integrate polynom of given degree on a given shape

static void clearGlobalVector()

delete all quadrature objects

static void printAllQuadratures(std::ostream&)

print the list of Quadrature objects in memory

Public Static Attributes

static std::vector<Quadrature*> theQuadratures

vector to store run-time Quadrature pointers

list of pointers of all quadrature rules

Friends

friend void alternateRule(QuadRule, ShapeType, const string_t&)

display message before choosing an alternate rule

friend Quadrature *hexahedronQuadrature(QuadRule, number_t)

find or create quadrature rule over the unit hexahedron

friend std::ostream &operator<<(std::ostream&, const Quadrature&)

print operator

friend Quadrature *prismQuadrature(QuadRule, number_t)

find or create quadrature rule over the unit prism

friend Quadrature *pyramidQuadrature(QuadRule, number_t)

find or create quadrature rule over the unit pyramid

friend Quadrature *quadrangleQuadrature(QuadRule, number_t)

find or create quadrature rule over the unit square

friend Quadrature *segmentQuadrature(QuadRule, number_t)

find or create quadrature rule over the unit segment

friend Quadrature *tetrahedronQuadrature(QuadRule, number_t)

find or create quadrature rule over the unit tetrahedron

friend Quadrature *triangleQuadrature(QuadRule, number_t)

find or create quadrature rule over the unit triangle