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Reference documentation for deal.II version 9.1.1
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Reference documentation for deal.II version 9.1.1
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#include <deal.II/base/quadrature.h>
Public Member Functions | |
| QIterated (const Quadrature< 1 > &base_quadrature, const unsigned int n_copies) | |
 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 |
| const std::array< Quadrature< 1 >, dim > & | 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 (std::atomic< bool > *const validity, const std::string &identifier="") const |
| void | unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") 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 Public Member Functions | |
| static ::ExceptionBase & | ExcInvalidQuadratureFormula () |
| 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) |
Additional Inherited Members | |
| Public Types inherited from Quadrature< dim > | |
| using | SubQuadrature = Quadrature< dim - 1 > |
| 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 |
Quadrature formula constructed by iteration of another quadrature formula in each direction. In more than one space dimension, the resulting quadrature formula is constructed in the usual way by building the tensor product of the respective iterated quadrature formula in one space dimension.
In one space dimension, the given base formula is copied and scaled onto a given number of subintervals of length 1/n_copies. If the quadrature formula uses both end points of the unit interval, then in the interior of the iterated quadrature formula there would be quadrature points which are used twice; we merge them into one with a weight which is the sum of the weights of the left- and the rightmost quadrature point.
Since all dimensions higher than one are built up by tensor products of one dimensional and dim-1 dimensional quadrature formulae, the argument given to the constructor needs to be a quadrature formula in one space dimension, rather than in dim dimensions.
The aim of this class is to provide a low order formula, where the error constant can be tuned by increasing the number of quadrature points. This is useful in integrating non-differentiable functions on cells.
Definition at line 369 of file quadrature.h.
| QIterated< dim >::QIterated | ( | const Quadrature< 1 > & | base_quadrature, |
| const unsigned int | n_copies | ||
| ) |
Constructor. Iterate the given quadrature formula n_copies times in each direction.
Definition at line 1777 of file quadrature.cc.
1.8.14