Utilizes cubature (integration) rules contained in the library sandia_rules (John Burkardt, Scientific Computing, Florida State University) within Intrepid. More...
#include <Intrepid_CubatureLineSorted.hpp>
Inheritance diagram for Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >:
Public Member Functions | |
| CubatureLineSorted (int degree=0, EIntrepidBurkardt rule=BURK_CLENSHAWCURTIS, bool isNormalized=false) | |
| Constructor. More... | |
| CubatureLineSorted (EIntrepidBurkardt rule=BURK_CLENSHAWCURTIS, int numPoints=0, bool isNormalized=false) | |
| Constructor. More... | |
| CubatureLineSorted (std::vector< Scalar > &points, std::vector< Scalar > &weights) | |
| 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. | |
| void | getAccuracy (std::vector< int > &accuracy) const |
| Returns max. degree of polynomials that are integrated exactly. The return vector has size 1. | |
| int | getDimension () const |
| Returns dimension of domain of integration. | |
| const char * | getName () const |
| Returns cubature name. | |
| Scalar | getNode (typename std::map< Scalar, int >::iterator it) |
| Get a specific node described by the iterator location. | |
| Scalar | getWeight (int weight) |
| Get a specific weight described by the integer location. | |
| Scalar | getWeight (Scalar point) |
| Get a specific weight described by the corresponding node. | |
| std::map< Scalar, int >::iterator | begin (void) |
| Initiate iterator at the beginning of data. | |
| std::map< Scalar, int >::iterator | end (void) |
| Initiate iterator at the end of data. | |
| void | update (Scalar alpha2, CubatureLineSorted< Scalar > &cubRule2, Scalar alpha1) |
| Replace CubatureLineSorted values with "this = alpha1*this+alpha2*cubRule2". | |
Private Attributes | |
| std::map< Scalar, int > | points_ |
| Contains points of this cubature rule. | |
| std::vector< Scalar > | weights_ |
| Contains points of this cubature rule. | |
| int | numPoints_ |
| Contains the number of nodes for this cubature rule. | |
| int | degree_ |
| The degree of polynomials that are integrated exactly by this cubature rule. | |
| EIntrepidBurkardt | rule_type_ |
| Type of integration points. | |
Static Private Attributes | |
| static const char * | cubature_name_ = "INTREPID_CUBATURE_LINESORTED" |
| Cubature name. | |
Detailed Description
template<class Scalar, class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>
class Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >
Utilizes cubature (integration) rules contained in the library sandia_rules (John Burkardt, Scientific Computing, Florida State University) within Intrepid.
This class contains ten rules:
- Gauss-Chebyshev Type 1 - integration domain is [-1,+1] with weight w(x) = 1/sqrt(1-x^2)
- Gauss-Chebyshev Type 2 - integration domain is [-1,+1] with weight w(x) = sqrt(1-x^2)
- Clenshaw-Curtis - integration domain is [-1,+1] with weight w(x) = 1
- Fejer Type 2 - integration domain is [-1,+1] with weight w(x) = 1
- Gauss-Legendre - integration domain is [-1,+1] with weight w(x) = 1
- Gauss-Patterson - integration domain is [-1,+1] with weight w(x) = 1
- Trapezoidal - integration domain is [-1,+1] with weight w(x) = 1
- Gauss-Hermite - integration domain is (-oo,+oo) with weight w(x) = exp(-x^2)
- Hermite-Genz-Keister - integration domain is (-oo,+oo) with weight w(x) = exp(-x^2)
- Gauss-Laguerre - integration domain is [0,+oo) with weight w(x) = exp(-x)
Definition at line 89 of file Intrepid_CubatureLineSorted.hpp.
Constructor & Destructor Documentation
template<class Scalar , class ArrayPoint , class ArrayWeight >
| Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureLineSorted | ( | int | degree = 0, |
| EIntrepidBurkardt | rule = BURK_CLENSHAWCURTIS, |
||
| bool | isNormalized = false |
||
| ) |
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_CubatureLineSortedDef.hpp.
template<class Scalar , class ArrayPoint , class ArrayWeight >
| Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureLineSorted | ( | EIntrepidBurkardt | rule = BURK_CLENSHAWCURTIS, |
| int | numPoints = 0, |
||
| bool | isNormalized = false |
||
| ) |
Constructor.
- Parameters
-
numPoints [in] - The number of cubature points. Default: 0.
Definition at line 159 of file Intrepid_CubatureLineSortedDef.hpp.
Member Function Documentation
template<class Scalar , class ArrayPoint , class ArrayWeight >
|
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 298 of file Intrepid_CubatureLineSortedDef.hpp.
template<class Scalar , class ArrayPoint , class ArrayWeight >
|
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 310 of file Intrepid_CubatureLineSortedDef.hpp.
The documentation for this class was generated from the following files:
- http://docs.trilinos.org/r13.0/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureLineSorted.hpp
- http://docs.trilinos.org/r13.0/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureLineSortedDef.hpp
