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Reference documentation for deal.II version 9.0.0
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Reference documentation for deal.II version 9.0.0
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#include <deal.II/base/function.h>
Public Member Functions | |
| VectorFunctionFromTensorFunction (const TensorFunction< 1, dim, RangeNumberType > &tensor_function, const unsigned int selected_component=0, const unsigned int n_components=dim) | |
| virtual | ~VectorFunctionFromTensorFunction ()=default |
| virtual RangeNumberType | value (const Point< dim > &p, const unsigned int component=0) const |
| virtual void | vector_value (const Point< dim > &p, Vector< RangeNumberType > &values) const |
| virtual void | vector_value_list (const std::vector< Point< dim > > &points, std::vector< Vector< RangeNumberType > > &value_list) const |
 Public Member Functions inherited from Function< dim, RangeNumberType > | |
| Function (const unsigned int n_components=1, const RangeNumberType initial_time=0.0) | |
| virtual | ~Function ()=0 |
| Function & | operator= (const Function &f) |
| virtual void | value_list (const std::vector< Point< dim > > &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const |
| virtual void | vector_values (const std::vector< Point< dim > > &points, std::vector< std::vector< RangeNumberType > > &values) const |
| virtual Tensor< 1, dim, RangeNumberType > | gradient (const Point< dim > &p, const unsigned int component=0) const |
| virtual void | vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, RangeNumberType > > &gradients) const |
| virtual void | gradient_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 1, dim, RangeNumberType > > &gradients, const unsigned int component=0) const |
| virtual void | vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType > > > &gradients) const |
| virtual void | vector_gradient_list (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType > > > &gradients) const |
| virtual RangeNumberType | laplacian (const Point< dim > &p, const unsigned int component=0) const |
| virtual void | vector_laplacian (const Point< dim > &p, Vector< RangeNumberType > &values) const |
| virtual void | laplacian_list (const std::vector< Point< dim > > &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const |
| virtual void | vector_laplacian_list (const std::vector< Point< dim > > &points, std::vector< Vector< RangeNumberType > > &values) const |
| virtual SymmetricTensor< 2, dim, RangeNumberType > | hessian (const Point< dim > &p, const unsigned int component=0) const |
| virtual void | vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, RangeNumberType > > &values) const |
| virtual void | hessian_list (const std::vector< Point< dim > > &points, std::vector< SymmetricTensor< 2, dim, RangeNumberType > > &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, RangeNumberType > > > &values) const |
| std::size_t | memory_consumption () const |
| Public Member Functions inherited from FunctionTime< RangeNumberType > | |
| FunctionTime (const RangeNumberType initial_time=RangeNumberType(0.0)) | |
| virtual | ~FunctionTime ()=default |
| RangeNumberType | get_time () const |
| virtual void | set_time (const RangeNumberType new_time) |
| virtual void | advance_time (const RangeNumberType delta_t) |
| Public Member Functions inherited from Subscriptor | |
| Subscriptor () | |
| Subscriptor (const Subscriptor &) | |
| Subscriptor (Subscriptor &&) noexcept | |
| virtual | ~Subscriptor () |
| Subscriptor & | operator= (const Subscriptor &) |
| Subscriptor & | operator= (Subscriptor &&) noexcept |
| void | subscribe (const char *identifier=nullptr) const |
| void | unsubscribe (const char *identifier=nullptr) const |
| unsigned int | n_subscriptions () const |
| void | list_subscribers () const |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
Private Attributes | |
| const TensorFunction< 1, dim, RangeNumberType > & | tensor_function |
| const unsigned int | selected_component |
Additional Inherited Members | |
| Static Public Member Functions inherited from Subscriptor | |
| static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
| static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
| Public Attributes inherited from Function< dim, RangeNumberType > | |
| const unsigned int | n_components |
| Static Public Attributes inherited from Function< dim, RangeNumberType > | |
| static const unsigned int | dimension = dim |
This class is built as a means of translating the Tensor<1,dim, RangeNumberType> values produced by objects of type TensorFunction and returning them as a multiple component version of the same thing as a Vector for use in, for example, the VectorTools::interpolate or the many other functions taking Function objects. It allows the user to place the desired components into an n_components long vector starting at the selected_component location in that vector and have all other components be 0.
For example: Say you created a class called
which extends the TensorFunction class and you have an object
of that class which you want to interpolate onto your mesh using the VectorTools::interpolate function, but the finite element you use for the DoFHandler object has 3 copies of a finite element with dim components, for a total of 3*dim components. To interpolate onto that DoFHandler, you need an object of type Function that has 3*dim vector components. Creating such an object from the existing rhs object is done using this piece of code:
where the dim components of the tensor function are placed into the first dim components of the function object.
Definition at line 794 of file function.h.
| VectorFunctionFromTensorFunction< dim, RangeNumberType >::VectorFunctionFromTensorFunction | ( | const TensorFunction< 1, dim, RangeNumberType > & | tensor_function, |
| const unsigned int | selected_component = 0, |
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| const unsigned int | n_components = dim |
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| ) |
Given a TensorFunction object that takes a Point and returns a Tensor<1,dim, RangeNumberType> value, convert this into an object that matches the Function<dim> interface.
By default, create a Vector object of the same size as tensor_function returns, i.e., with dim components.
| tensor_function | The TensorFunction that will form one component of the resulting Vector Function object. |
| n_components | The total number of vector components of the resulting TensorFunction object. |
| selected_component | The first component that should be filled by the first argument. This should be such that the entire tensor_function fits inside the n_component length return vector. |
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virtualdefault |
This destructor is defined as virtual so as to coincide with all other aspects of class.
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Return a single component of a vector-valued function at a given point.
Reimplemented from Function< dim, RangeNumberType >.
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Return all components of a vector-valued function at a given point.
values shall have the right size beforehand, i.e. n_components.
Reimplemented from Function< dim, RangeNumberType >.
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Return all components of a vector-valued function at a list of points.
value_list shall be the same size as points and each element of the vector will be passed to vector_value() to evaluate the function
Reimplemented from Function< dim, RangeNumberType >.
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The TensorFunction object which we call when this class's vector_value() or vector_value_list() functions are called.
Definition at line 852 of file function.h.
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The first vector component whose value is to be filled by the given TensorFunction. The values will be placed in components selected_component to selected_component+dim-1 for a TensorFunction<1,dim, RangeNumberType> object.
Definition at line 860 of file function.h.
1.8.14