Reference documentation for deal.II version 9.4.1
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#include <deal.II/non_matching/quadrature_generator.h>

Public Member Functions

AdditionalQGeneratorData (const unsigned int max_box_splits=4, const double lower_bound_implicit_function=1e-11, const double min_distance_between_roots=1e-12, const double limit_to_be_definite=1e-11, const double root_finder_tolerance=1e-12, const unsigned int max_root_finder_splits=2, bool split_in_half=true)

Public Attributes

unsigned int max_box_splits

double lower_bound_implicit_function

double min_distance_between_roots

double limit_to_be_definite

double root_finder_tolerance

unsigned int max_root_finder_splits

bool split_in_half

Detailed Description

Struct storing settings for the QuadratureGenerator class.

Definition at line 60 of file quadrature_generator.h.

Constructor & Destructor Documentation

 NonMatching::AdditionalQGeneratorData::AdditionalQGeneratorData ( const unsigned int max_box_splits = 4, const double lower_bound_implicit_function = 1e-11, const double min_distance_between_roots = 1e-12, const double limit_to_be_definite = 1e-11, const double root_finder_tolerance = 1e-12, const unsigned int max_root_finder_splits = 2, bool split_in_half = true )

Constructor.

Definition at line 1604 of file quadrature_generator.cc.

◆ max_box_splits

The number of times we are allowed to split the incoming box and recurse on each child.

Definition at line 77 of file quadrature_generator.h.

◆ lower_bound_implicit_function

For a level set function, $$\psi$$, the implicit function theorem states that it is possible to write one of the coordinates $$x_i$$ as a function of the others if

$$|\frac{\partial \psi}{\partial x_i}| > 0$$.

In practice, the bound we have for the expression in the left-hand side may be near but not equal to zero due to roundoff errors.

This constant is a safety margin, $$C$$, that states that the implicit function theorem can be used when

$$|\frac{\partial \psi}{\partial x_i}| > C$$

Thus this constant must be non-negative.

Definition at line 96 of file quadrature_generator.h.

◆ min_distance_between_roots

If two roots are closer to each other than this distance they are merged to one.

Definition at line 102 of file quadrature_generator.h.

◆ limit_to_be_definite

A constant, $$C$$, controlling when a level set function, $$\psi$$, is considered positive or negative definite:

$$\psi(x) > C \Rightarrow \text{Positive definite}$$, $$\psi(x) < -C \Rightarrow \text{Negative definite}$$.

Definition at line 111 of file quadrature_generator.h.

◆ root_finder_tolerance

Tolerance for convergence of the underlying root finder.

Definition at line 116 of file quadrature_generator.h.

◆ max_root_finder_splits

The number of times the underlying rootfinder is allowed to split an interval, while trying to find multiple roots.

Definition at line 122 of file quadrature_generator.h.

◆ split_in_half

This determines how a box is split when this is necessary. If true, the box is split in two, if set to false the box is split into its $$2^{dim}$$ children.