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Reference documentation for deal.II version 9.1.1
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#include <deal.II/base/function_lib.h>
Public Member Functions | |
CutOffFunctionCinfty (const double radius=1., const Point< dim >=Point< dim >(), const unsigned int n_components=1, const unsigned int select=CutOffFunctionBase< dim >::no_component, bool integrate_to_one=false) | |
virtual double | value (const Point< dim > &p, const unsigned int component=0) const override |
virtual void | value_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const override |
virtual void | vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const override |
virtual Tensor< 1, dim > | gradient (const Point< dim > &p, const unsigned int component=0) const override |
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CutOffFunctionBase (const double radius=1., const Point< dim > center=Point< dim >(), const unsigned int n_components=1, const unsigned int select=CutOffFunctionBase< dim >::no_component, const bool integrate_to_one=false, const double unitary_integral_value=1.0) | |
virtual | ~CutOffFunctionBase ()=default |
void | new_center (const Point< dim > &p) |
void | new_radius (const double r) |
virtual void | set_center (const Point< dim > &p) |
virtual void | set_radius (const double r) |
const Point< dim > & | get_center () const |
double | get_radius () const |
bool | integrates_to_one () const |
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Function (const unsigned int n_components=1, const time_type initial_time=0.0) | |
virtual | ~Function () override=0 |
Function & | operator= (const Function &f) |
virtual void | vector_value (const Point< dim > &p, Vector< double > &values) const |
virtual void | vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) const |
virtual void | vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, double >> &gradients) const |
virtual void | gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim, double >> &gradients, const unsigned int component=0) const |
virtual void | vector_gradients (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, double >>> &gradients) const |
virtual void | vector_gradient_list (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, double >>> &gradients) const |
virtual double | laplacian (const Point< dim > &p, const unsigned int component=0) const |
virtual void | vector_laplacian (const Point< dim > &p, Vector< double > &values) const |
virtual void | laplacian_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const |
virtual void | vector_laplacian_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const |
virtual SymmetricTensor< 2, dim, double > | hessian (const Point< dim > &p, const unsigned int component=0) const |
virtual void | vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, double >> &values) const |
virtual void | hessian_list (const std::vector< Point< dim >> &points, std::vector< SymmetricTensor< 2, dim, double >> &values, const unsigned int component=0) const |
virtual void | vector_hessian_list (const std::vector< Point< dim >> &points, std::vector< std::vector< SymmetricTensor< 2, dim, double >>> &values) const |
std::size_t | memory_consumption () const |
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FunctionTime (const Number initial_time=Number(0.0)) | |
virtual | ~FunctionTime ()=default |
Number | get_time () const |
virtual void | set_time (const Number new_time) |
virtual void | advance_time (const Number delta_t) |
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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) |
Additional Inherited Members | |
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using | time_type = typename FunctionTime< typename numbers::NumberTraits< double >::real_type >::time_type |
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using | time_type = Number |
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static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
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const unsigned int | n_components |
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static const unsigned int | no_component = numbers::invalid_unsigned_int |
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static const unsigned int | dimension |
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Point< dim > | center |
double | radius |
const unsigned int | selected |
bool | integrate_to_one |
const double | unitary_integral_value |
double | rescaling |
Cut-off function for an arbitrary ball. This is the traditional cut-off function in C-infinity for a ball of certain radius
around center
, \(f(r)=exp(1-1/(1-r**2/s**2))\), where \(r\) is the distance to the center, and \(s\) is the radius of the sphere. If vector valued, it can be restricted to a single component.
Definition at line 1279 of file function_lib.h.
Functions::CutOffFunctionCinfty< dim >::CutOffFunctionCinfty | ( | const double | radius = 1. , |
const Point< dim > | p = Point<dim>() , |
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const unsigned int | n_components = 1 , |
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const unsigned int | select = CutOffFunctionBase<dim>::no_component , |
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bool | integrate_to_one = false |
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Constructor. Arguments are the center of the ball and its radius.
If an argument select
is given, the cut-off function will be non-zero for this component only.
Definition at line 377 of file function_lib_cutoff.cc.
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overridevirtual |
Function value at one point.
Reimplemented from Function< dim >.
Definition at line 394 of file function_lib_cutoff.cc.
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overridevirtual |
Function values at multiple points.
Reimplemented from Function< dim >.
Definition at line 413 of file function_lib_cutoff.cc.
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overridevirtual |
Function values at multiple points.
Reimplemented from Function< dim >.
Definition at line 445 of file function_lib_cutoff.cc.
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overridevirtual |
Function gradient at one point.
Reimplemented from Function< dim >.
Definition at line 478 of file function_lib_cutoff.cc.