Intrepid

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.  
void  getCubature (ArrayPoint &cubPoints, ArrayWeight &cubWeights) const 
Returns cubature points and weights (return arrays must be presized/preallocated).  
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. 
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:
Definition at line 74 of file Intrepid_CubaturePolylib.hpp.
Intrepid::CubaturePolylib< Scalar, ArrayPoint, ArrayWeight >::CubaturePolylib  (  int  degree = 0 , 
EIntrepidPLPoly  pt_type = PL_GAUSS , 

Scalar  alpha = 0.0 , 

Scalar  beta = 0.0 

) 
Constructor.
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.
void Intrepid::CubaturePolylib< Scalar, ArrayPoint, ArrayWeight >::getCubature  (  ArrayPoint &  cubPoints, 
ArrayWeight &  cubWeights  
)  const [virtual] 
Returns cubature points and weights (return arrays must be presized/preallocated).
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().