Reference documentation for deal.II version 9.6.0
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NonMatching::internal::QuadratureGeneratorImplementation::QGenerator< 1, spacedim > Class Template Reference

#include <deal.II/non_matching/quadrature_generator.h>

Inheritance diagram for NonMatching::internal::QuadratureGeneratorImplementation::QGenerator< 1, spacedim >:

## Public Member Functions

void generate (const std::vector< std::reference_wrapper< const Function< 1 > > > &level_sets, const BoundingBox< 1 > &box, const unsigned int n_box_splits)

void set_1D_quadrature (const unsigned int q_index)

const QPartitioning< dim > & get_quadratures () const

## Protected Attributes

unsigned int q_index

const SmartPointer< const hp::QCollection< 1 > > q_collection1D

QPartitioning< dim > q_partitioning

## Private Member Functions

void create_surface_points (const std::vector< std::reference_wrapper< const Function< 1 > > > &level_sets)

## Private Attributes

RootFinder root_finder

std::vector< double > roots

const unsigned int direction = 0

const Point< 0 > zero_dim_point

const double unit_weight = 1

## Detailed Description

template<int spacedim>

The 1d-base case of the recursive algorithm QGenerator<dim, spacedim>.

Let $$L$$ and $$R$$ be the left and right bounds of the one-dimensional BoundingBox. This interval is partitioned into $$[x_0, x_1, ..., x_n]$$ where $$x_0 = L$$, $$x_n = R$$, and the remaining $$x_i$$ are the roots of the level set functions in the interval $$[L, R]$$. In each interval, $$[x_i, x_{i+1}]$$, quadrature points are distributed according to a 1d-quadrature rule. These points are added to one of the regions of QPartitioning determined from the signs of the level set functions on the interval (see documentation of QPartitioning).

If spacedim = 1 the points $$[x_1, x_{n-1}]$$ are also added as surface quadrature points to QPartitioning::surface.

Definition at line 1276 of file quadrature_generator.h.

## ◆ QGenerator()

template<int spacedim>

Constructor. Takes the same parameters QuadratureGenerator.

Definition at line 1209 of file quadrature_generator.cc.

## ◆ generate()

template<int spacedim>
 void NonMatching::internal::QuadratureGeneratorImplementation::QGenerator< 1, spacedim >::generate ( const std::vector< std::reference_wrapper< const Function< 1 > > > & level_sets, const BoundingBox< 1 > & box, const unsigned int n_box_splits )

Creates quadrature points over the interval defined by the incoming box and adds these quadrature points to the internally stored QPartitioning. These quadratures can then be obtained using the get_quadratures-function.

Definition at line 1225 of file quadrature_generator.cc.

template<int spacedim>

Set which 1d-quadrature in the collection passed to the constructor should be used to create the immersed quadratures.

Definition at line 1286 of file quadrature_generator.cc.

## ◆ create_surface_points()

template<int spacedim>
 void NonMatching::internal::QuadratureGeneratorImplementation::QGenerator< 1, spacedim >::create_surface_points ( const std::vector< std::reference_wrapper< const Function< 1 > > > & level_sets )
private

Definition at line 1257 of file quadrature_generator.cc.

inherited

Clear the quadratures created by the previous call to generate().

Definition at line 1036 of file quadrature_generator.cc.

 const QPartitioning< dim > & NonMatching::internal::QuadratureGeneratorImplementation::QGeneratorBase< dim, spacedim >::get_quadratures ( ) const
inherited

Definition at line 1042 of file quadrature_generator.cc.

## ◆ root_finder

template<int spacedim>
private

Class used to find the roots of the functions passed to generate().

Definition at line 1317 of file quadrature_generator.h.

## ◆ roots

template<int spacedim>
private

Roots of the functions passed to generate().

Definition at line 1322 of file quadrature_generator.h.

## ◆ direction

template<int spacedim>
 const unsigned int NonMatching::internal::QuadratureGeneratorImplementation::QGenerator< 1, spacedim >::direction = 0
private

This would be the height-function direction in higher dimensions, but in 1d there is only one coordinate direction.

Definition at line 1328 of file quadrature_generator.h.

## ◆ zero_dim_point

template<int spacedim>
 const Point<0> NonMatching::internal::QuadratureGeneratorImplementation::QGenerator< 1, spacedim >::zero_dim_point
private

To reuse the distribute_points_between_roots()-function we need a zero-dimensional quadrature point with unit weight.

Definition at line 1334 of file quadrature_generator.h.

## ◆ unit_weight

template<int spacedim>
 const double NonMatching::internal::QuadratureGeneratorImplementation::QGenerator< 1, spacedim >::unit_weight = 1
private

Definition at line 1335 of file quadrature_generator.h.

protectedinherited

Stores options/settings for the algorithm.

Definition at line 1048 of file quadrature_generator.h.

## ◆ q_index

 unsigned int NonMatching::internal::QuadratureGeneratorImplementation::QGeneratorBase< dim, spacedim >::q_index
protectedinherited

Which 1d-quadrature in the collection we should use to generate the immersed quadrature.

Definition at line 1054 of file quadrature_generator.h.

## ◆ q_collection1D

 const SmartPointer > NonMatching::internal::QuadratureGeneratorImplementation::QGeneratorBase< dim, spacedim >::q_collection1D
protectedinherited

Index of the quadrature in q_collection1d that should use to generate the immersed quadrature rules.

Definition at line 1060 of file quadrature_generator.h.