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Reference documentation for deal.II version 9.6.0
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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 |
Struct storing settings for the QuadratureGenerator class.
Definition at line 59 of file quadrature_generator.h.
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 1788 of file quadrature_generator.cc.
unsigned int NonMatching::AdditionalQGeneratorData::max_box_splits |
The number of times we are allowed to split the incoming box and recurse on each child.
Definition at line 76 of file quadrature_generator.h.
double NonMatching::AdditionalQGeneratorData::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 95 of file quadrature_generator.h.
double NonMatching::AdditionalQGeneratorData::min_distance_between_roots |
If two roots are closer to each other than this distance they are merged to one.
Definition at line 101 of file quadrature_generator.h.
double NonMatching::AdditionalQGeneratorData::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 110 of file quadrature_generator.h.
double NonMatching::AdditionalQGeneratorData::root_finder_tolerance |
Tolerance for convergence of the underlying root finder.
Definition at line 115 of file quadrature_generator.h.
unsigned int NonMatching::AdditionalQGeneratorData::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 121 of file quadrature_generator.h.
bool NonMatching::AdditionalQGeneratorData::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.
Definition at line 128 of file quadrature_generator.h.