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Reference documentation for deal.II version 9.1.0-pre
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Reference documentation for deal.II version 9.1.0-pre
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#include <deal.II/base/quadrature_lib.h>
Public Member Functions | |
| QGaussLog (const unsigned int n, const bool revert=false) | |
 Public Member Functions inherited from Quadrature< dim > | |
| Quadrature (const unsigned int n_quadrature_points=0) | |
| Quadrature (const SubQuadrature &, const Quadrature< 1 > &) | |
| Quadrature (const Quadrature< dim!=1?1:0 > &quadrature_1d) | |
| Quadrature (const Quadrature< dim > &q) | |
| Quadrature (Quadrature< dim > &&) noexcept=default | |
| Quadrature (const std::vector< Point< dim >> &points, const std::vector< double > &weights) | |
| Quadrature (const std::vector< Point< dim >> &points) | |
| Quadrature (const Point< dim > &point) | |
| virtual | ~Quadrature () override=default |
| Quadrature & | operator= (const Quadrature< dim > &) |
| Quadrature & | operator= (Quadrature< dim > &&)=default |
| bool | operator== (const Quadrature< dim > &p) const |
| void | initialize (const std::vector< Point< dim >> &points, const std::vector< double > &weights) |
| unsigned int | size () const |
| const Point< dim > & | point (const unsigned int i) const |
| const std::vector< Point< dim > > & | get_points () const |
| double | weight (const unsigned int i) const |
| const std::vector< double > & | get_weights () const |
| std::size_t | memory_consumption () const |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
| bool | is_tensor_product () const |
| std::conditional< dim==1, std::array< Quadrature< 1 >, dim >, const std::array< Quadrature< 1 >, dim > & >::type | get_tensor_basis () const |
| Public Member Functions inherited from Subscriptor | |
| Subscriptor () | |
| Subscriptor (const Subscriptor &) | |
| Subscriptor (Subscriptor &&) noexcept | |
| virtual | ~Subscriptor () |
| Subscriptor & | operator= (const Subscriptor &) |
| Subscriptor & | operator= (Subscriptor &&) noexcept |
| void | subscribe (const char *identifier=nullptr) const |
| void | unsubscribe (const char *identifier=nullptr) const |
| unsigned int | n_subscriptions () const |
| template<typename StreamType > | |
| void | list_subscribers (StreamType &stream) const |
| void | list_subscribers () const |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
Static Private Member Functions | |
| static std::vector< double > | get_quadrature_points (const unsigned int n) |
| static std::vector< double > | get_quadrature_weights (const unsigned int n) |
Additional Inherited Members | |
| Public Types inherited from Quadrature< dim > | |
| using | SubQuadrature = Quadrature< dim-1 > |
| Static Public Member Functions inherited from Subscriptor | |
| static::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
| static::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
| Protected Attributes inherited from Quadrature< dim > | |
| std::vector< Point< dim > > | quadrature_points |
| std::vector< double > | weights |
| bool | is_tensor_product_flag |
| std::unique_ptr< std::array< Quadrature< 1 >, dim > > | tensor_basis |
A class for Gauss quadrature with logarithmic weighting function. This formula is used to integrate \(\ln|x|\;f(x)\) on the interval \([0,1]\), where \(f\) is a smooth function without singularities. The collection of quadrature points and weights has been obtained using Numerical Recipes.
Notice that only the function \(f(x)\) should be provided, i.e., \(\int_0^1 f(x) \ln|x| dx = \sum_{i=0}^N w_i f(q_i)\). Setting the revert flag to true at construction time switches the weight from \(\ln|x|\) to \(\ln|1-x|\).
The weights and functions have been tabulated up to order 12.
Definition at line 177 of file quadrature_lib.h.
Generate a formula with n quadrature points
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staticprivate |
Compute the points of the quadrature formula.
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staticprivate |
Compute the weights of the quadrature formula.
1.8.11
