PolytopeQuadrature class
Cached quadrature attached to one specific polytope.
A PolytopeQuadrature stores the mapped quadrature points corresponding to a single quadrature formula on a single concrete polytope. It is:
- not a reference quadrature formula,
- not a variational quadrature rule,
- not a container of weights.
Its purpose is to cache the geometric realization of a quadrature formula on a polytope so that repeated integration passes can reuse mapped Point objects.
Architecture
Construction evaluates the transformation's quadrature Jacobians in one bulk call and places each matrix in its point's existing owned cache. Parametric transformations can therefore reuse reference derivatives without retaining mapped geometry for previously traversed cells. Physical coordinates and derived inverse, determinant and distortion remain lazy. No point borrows a formula or element table. Temporary Jacobian storage and retained points are both bounded by the current formula's size.
Constructors, destructors, conversion operators
-
PolytopeQuadrature(const Polytope& polytope,
const QF::
QuadratureFormulaBase& qf) - Constructs the realized quadrature on a polytope.
Public functions
-
auto getQuadratureFormula() const -> const QF::
QuadratureFormulaBase& - Gets the reference quadrature formula used to build this object.
- auto getSize() const -> size_t
- Gets the number of mapped quadrature points.
- auto getPoint(size_t i) const -> const Point&
- Gets a mapped quadrature point by index.
Function documentation
Rodin::
Constructs the realized quadrature on a polytope.
| Parameters | |
|---|---|
| polytope in | Concrete mesh polytope |
| qf in | Reference quadrature formula |
const QF::
Gets the reference quadrature formula used to build this object.
| Returns | Reference to the quadrature formula |
|---|
size_t Rodin::
Gets the number of mapped quadrature points.
| Returns | Number of quadrature points |
|---|