Utilizes cubature (integration) rules contained in the library Polylib (Spencer Sherwin, Aeronautics, Imperial College London) within Intrepid. More...
#include <Intrepid_CubaturePolylib.hpp>
Public Member Functions | |
| CubaturePolylib (int degree=0, EIntrepidPLPoly pt_type=PL_GAUSS, Scalar alpha=0.0, Scalar beta=0.0) | |
| Constructor. More... | |
| void | getCubature (ArrayPoint &cubPoints, ArrayWeight &cubWeights) const |
| Returns cubature points and weights (return arrays must be pre-sized/pre-allocated). More... | |
| void | getCubature (ArrayPoint &cubPoints, ArrayWeight &cubWeights, ArrayPoint &cellCoords) const |
| Returns cubature points and weights. Method for physical space cubature, throws an exception. More... | |
| int | getNumPoints () const |
| Returns the number of cubature points. | |
| virtual int | getDimension () const |
| Returns dimension of integration domain. | |
| void | getAccuracy (std::vector< int > &accuracy) const |
| Returns max. degree of polynomials that are integrated exactly. The return vector has size 1. | |
| const char * | getName () const |
| Returns cubature name. | |
Private Attributes | |
| int | degree_ |
| The degree of polynomials that are integrated exactly by this cubature rule. | |
| int | dimension_ |
| Dimension of integration domain. | |
| EIntrepidPLPoly | poly_type_ |
| Type of integration points. | |
| Scalar | alpha_ |
| Jacobi parameter alpha. | |
| Scalar | beta_ |
| Jacobi parameter beta. | |
Static Private Attributes | |
| static const char * | cubature_name_ = "INTREPID_CUBATURE_POLYLIB" |
| Cubature name. | |
Detailed Description
template<class Scalar, class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>
class Intrepid::CubaturePolylib< Scalar, ArrayPoint, ArrayWeight >
Utilizes cubature (integration) rules contained in the library Polylib (Spencer Sherwin, Aeronautics, Imperial College London) within Intrepid.
They are based on zeros of Jacobi polynomials, e.g. Legendre (alpha=beta=0, default), Chebyshev (alpha=beta=-0.5), etc. They are given on the interval [-1,1] and are optimal with respect to the following requirements, yielding 4 subclasses:
- Gauss - no restrictions (all integration points are contained in the open interval (-1,1))
- Gauss-Radau-Left - left-most integration point is fixed at -1
- Gauss-Radau-Right - right-most integration point is fixed at +1
- Gauss-Lobatto - left-most and right-most integration points are fixed at -1 and +1, respectively
Definition at line 74 of file Intrepid_CubaturePolylib.hpp.
Constructor & Destructor Documentation
| Intrepid::CubaturePolylib< Scalar, ArrayPoint, ArrayWeight >::CubaturePolylib | ( | int | degree = 0, |
| EIntrepidPLPoly | pt_type = PL_GAUSS, |
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| Scalar | alpha = 0.0, |
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| Scalar | beta = 0.0 |
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| ) |
Constructor.
- Parameters
-
degree [in] - The degree of polynomials that are integrated exactly by this cubature rule. Default: 0.
Definition at line 52 of file Intrepid_CubaturePolylibDef.hpp.
Member Function Documentation
|
virtual |
Returns cubature points and weights (return arrays must be pre-sized/pre-allocated).
- Parameters
-
cubPoints [out] - Array containing the cubature points. cubWeights [out] - Array of corresponding cubature weights.
Implements Intrepid::Cubature< Scalar, ArrayPoint, ArrayWeight >.
Definition at line 119 of file Intrepid_CubaturePolylibDef.hpp.
References Intrepid::IntrepidPolylib::zwgj(), Intrepid::IntrepidPolylib::zwglj(), Intrepid::IntrepidPolylib::zwgrjm(), and Intrepid::IntrepidPolylib::zwgrjp().
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virtual |
Returns cubature points and weights. Method for physical space cubature, throws an exception.
- Parameters
-
cubPoints [out] - Array containing the cubature points. cubWeights [out] - Array of corresponding cubature weights. cellCoords [in] - Array of cell coordinates
Implements Intrepid::Cubature< Scalar, ArrayPoint, ArrayWeight >.
Definition at line 161 of file Intrepid_CubaturePolylibDef.hpp.
The documentation for this class was generated from the following files:
- http://docs.trilinos.org/r13.0/packages/intrepid/src/Discretization/Integration/Intrepid_CubaturePolylib.hpp
- http://docs.trilinos.org/r13.0/packages/intrepid/src/Discretization/Integration/Intrepid_CubaturePolylibDef.hpp
