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Reference documentation for deal.II version 9.3.3
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#include <deal.II/base/quadrature_lib.h>
Public Types | |
using | SubQuadrature = Quadrature< dim - 1 > |
Public Member Functions | |
QTrianglePolar (const Quadrature< 1 > &radial_quadrature, const Quadrature< 1 > &angular_quadrature) | |
QTrianglePolar (const unsigned int n) | |
Quadrature< dim > | compute_affine_transformation (const std::array< Point< dim >, dim+1 > &vertices) const |
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 |
Protected Attributes | |
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 |
Subscriptor functionality | |
Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class. | |
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 |
using | map_value_type = decltype(counter_map)::value_type |
using | map_iterator = decltype(counter_map)::iterator |
std::atomic< unsigned int > | counter |
std::map< std::string, unsigned int > | counter_map |
std::vector< std::atomic< bool > * > | validity_pointers |
const std::type_info * | object_info |
static std::mutex | mutex |
static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
void | check_no_subscribers () const noexcept |
A quadrature that implements a polar transformation from a square to a triangle to integrate singularities in the origin of the reference simplex. The quadrature is obtained through the following polar transformation:
Definition at line 665 of file quadrature_lib.h.
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inherited |
Define an alias for a quadrature that acts on an object of one dimension less. For cells, this would then be a face quadrature.
Definition at line 90 of file quadrature.h.
QTrianglePolar::QTrianglePolar | ( | const Quadrature< 1 > & | radial_quadrature, |
const Quadrature< 1 > & | angular_quadrature | ||
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Construct a QTrianglePolar quadrature, with different formulas in the radial and angular directions.
radial_quadrature | Radial quadrature |
angular_quadrature | Angular quadrature |
Definition at line 1252 of file quadrature_lib.cc.
QTrianglePolar::QTrianglePolar | ( | const unsigned int | n | ) |
Call the other constructor, with QGauss<1>(n) for both radial and angular quadrature.
n | Order of QGauss quadrature |
Definition at line 1282 of file quadrature_lib.cc.
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inherited |
Return an affine transformation of this quadrature, that can be used to integrate on the simplex identified by vertices
.
Both the quadrature point locations and the weights are transformed, so that you can effectively use the resulting quadrature to integrate on the simplex.
The transformation is defined as
where the matrix is given by
.
The weights are scaled with the absolute value of the determinant of , that is
. If
is zero, an empty quadrature is returned. This may happen, in two dimensions, if the three vertices are aligned, or in three dimensions if the four vertices are on the same plane.
[in] | vertices | The vertices of the simplex you wish to integrate on |
Definition at line 643 of file quadrature_lib.cc.
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inherited |
Test for equality of two quadratures.
Definition at line 302 of file quadrature.cc.
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inherited |
Set the quadrature points and weights to the values provided in the arguments.
Definition at line 50 of file quadrature.cc.
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inherited |
Number of quadrature points.
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inherited |
Return the i
th quadrature point.
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inherited |
Return a reference to the whole array of quadrature points.
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inherited |
Return the weight of the i
th quadrature point.
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inherited |
Return a reference to the whole array of weights.
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inherited |
Determine an estimate for the memory consumption (in bytes) of this object.
Definition at line 311 of file quadrature.cc.
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inherited |
Write or read the data of this object to or from a stream for the purpose of serialization using the BOOST serialization library.
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inherited |
This function returns true if the quadrature object is a tensor product of one-dimensional formulas and the quadrature points are sorted lexicographically.
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inherited |
In case the quadrature formula is a tensor product, this function returns the dim
one-dimensional basis objects. Otherwise, calling this function is not allowed.
For dim
equal to one, we can not return the std::array as a const reference and have to return it by value. In this case, the array will always contain a single element (this
).
Definition at line 323 of file quadrature.cc.
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protectedinherited |
List of quadrature points. To be filled by the constructors of derived classes.
Definition at line 283 of file quadrature.h.
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protectedinherited |
List of weights of the quadrature points. To be filled by the constructors of derived classes.
Definition at line 289 of file quadrature.h.
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protectedinherited |
Indicates if this object represents quadrature formula that is a tensor product of one-dimensional formulas. This flag is set if dim==1 or the constructors taking a Quadrature<1> (and possibly a Quadrature<dim-1> object) is called. This implies that the quadrature points are sorted lexicographically.
Definition at line 298 of file quadrature.h.
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protectedinherited |
Stores the one-dimensional tensor basis objects in case this object can be represented by a tensor product.
Definition at line 304 of file quadrature.h.