DUNE-FEM (2.10)
#include <dune/fem/function/localfunction/mutable.hh>
Public Types | |
| typedef DiscreteFunction | DiscreteFunctionType |
| type of DiscreteFunction | |
| typedef BaseType::EntityType | EntityType |
| type of the entity, the local function lives on is given by the space | |
| typedef BaseType::LocalDofVectorType | LocalDofVectorType |
| type of local Dof vector object | |
| typedef BaseType::BasisFunctionSetType | BasisFunctionSetType |
| type of BasisFunctionSet | |
| typedef LocalDofVectorType::value_type | DofType |
| type of DoF use with the discrete function | |
| typedef LocalDofVectorType::size_type | SizeType |
| type of index | |
| typedef BasisFunctionSetType::FunctionSpaceType | FunctionSpaceType |
| type of functionspace | |
| typedef FunctionSpaceType::DomainFieldType | DomainFieldType |
| field type of the domain | |
| typedef FunctionSpaceType::RangeFieldType | RangeFieldType |
| field type of the range | |
| typedef FunctionSpaceType::DomainType | DomainType |
| type of domain vectors, i.e., type of coordinates | |
| typedef FunctionSpaceType::RangeType | RangeType |
| type of range vectors, i.e., type of function values | |
| typedef FunctionSpaceType::JacobianRangeType | JacobianRangeType |
| type of the Jacobian, i.e., type of evaluated Jacobian matrix | |
| typedef FunctionSpaceType::HessianRangeType | HessianRangeType |
| type of the Hessian | |
| typedef EntityType::Geometry::LocalCoordinate | LocalCoordinateType |
| type of local coordinates | |
| typedef Traits::derived_type | derived_type |
| type of derived vector class | |
| typedef Traits::value_type | value_type |
| export the type representing the field | |
| typedef FieldTraits< value_type >::field_type | field_type |
| export the type representing the field | |
| typedef Traits::value_type | block_type |
| export the type representing the components | |
| typedef Traits::size_type | size_type |
| The type used for the index access and size operation. | |
| typedef DenseIterator< DenseVector, value_type > | Iterator |
| Iterator class for sequential access. | |
| typedef Iterator | iterator |
| typedef for stl compliant access | |
| typedef DenseIterator< const DenseVector, const value_type > | ConstIterator |
| ConstIterator class for sequential access. | |
| typedef ConstIterator | const_iterator |
| typedef for stl compliant access | |
Public Member Functions | |
| MutableLocalFunction (DiscreteFunctionType &discreteFunction) | |
| Constructor creating empty local function from given discrete function. | |
| MutableLocalFunction (const DiscreteFunctionType &discreteFunction) | |
| Constructor creating empty local function from given discrete function. | |
| MutableLocalFunction (DiscreteFunctionType &discreteFunction, const EntityType &entity) | |
| Constructor creating local function from given discrete function and entity, not empty. | |
| MutableLocalFunction (const DiscreteFunctionType &dFunction, const EntityType &entity) | |
| Constructor creating local function from given discrete function and entity, not empty. | |
| MutableLocalFunction (const ThisType &other) | |
| copy constructor | |
| MutableLocalFunction (ThisType &&other) | |
| move constructor | |
| const LocalDofVectorType & | localDofVector () const |
| return const reference to local Dof Vector | |
| LocalDofVectorType & | localDofVector () |
| return mutable reference to local Dof Vector | |
| const DofType & | operator[] (SizeType num) const |
| access to local dofs (read-only) More... | |
| DofType & | operator[] (SizeType num) |
| access to local dofs (read-write) More... | |
| value_type & | operator[] (size_type i) |
| random access | |
| void | assign (const LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType, T > &other) |
| assign all DoFs of this local function More... | |
| void | clear () |
| set all DoFs to zero | |
| void | axpy (const PointType &x, const RangeType &factor) |
| axpy operation for local function More... | |
| void | axpy (const PointType &x, const JacobianRangeType &factor) |
| axpy operation for local function More... | |
| void | axpy (const PointType &x, const RangeType &factor1, const JacobianRangeType &factor2) |
| axpy operation for local function More... | |
| derived_type & | axpy (const field_type &a, const DenseVector< Other > &x) |
| vector space axpy operation ( *this += a x ) | |
| int | order () const |
| obtain the order of this local function More... | |
| const BasisFunctionSetType & | basisFunctionSet () const |
| obtain the basis function set for this local function More... | |
| const EntityType & | entity () const |
| obtain the entity, this local function lives on More... | |
| void | evaluate (const PointType &x, RangeType &ret) const |
| evaluate the local function More... | |
| void | jacobian (const PointType &x, JacobianRangeType &ret) const |
| evaluate Jacobian of the local function More... | |
| void | hessian (const PointType &x, HessianRangeType &ret) const |
| evaluate Hessian of the local function More... | |
| int | numDofs () const |
| obtain the number of local DoFs More... | |
| SizeType | size () const |
| obtain the number of local DoFs More... | |
| void | axpyQuadrature (const QuadratureType &quad, const Vectors &... values) |
| evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients | |
| void | axpyQuadrature (const QuadratureType &quad, const RangeVectorType &rangeVector, const JacobianRangeVectorType &jacobianVector) |
| evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients | |
| void | evaluateQuadrature (const QuadratureType &quad, Vectors &... vec) const |
| evaluate all basisfunctions for all quadrature points and store the results in the result vector | |
| void | jacobianQuadrature (const QuadratureType &quad, Vectors &... vec) const |
| evaluate all Jacobians for all basis functions for all quadrature points and store the results in the result vector | |
| void | hessianQuadrature (const QuadratureType &quad, Vectors &... vec) const |
| evaluate all hessians of all basis functions for all quadrature points and store the results in the result vector | |
| bool | valid () const |
| Returns true if local function if bind or init was previously called. | |
| value_type & | front () |
| return reference to first element | |
| const value_type & | front () const |
| return reference to first element | |
| value_type & | back () |
| return reference to last element | |
| const value_type & | back () const |
| return reference to last element | |
| bool | empty () const |
| checks whether the container is empty | |
| Iterator | begin () |
| begin iterator | |
| ConstIterator | begin () const |
| begin ConstIterator | |
| Iterator | end () |
| end iterator | |
| ConstIterator | end () const |
| end ConstIterator | |
| Iterator | beforeEnd () |
| ConstIterator | beforeEnd () const |
| Iterator | beforeBegin () |
| ConstIterator | beforeBegin () const |
| Iterator | find (size_type i) |
| return iterator to given element or end() | |
| ConstIterator | find (size_type i) const |
| return iterator to given element or end() | |
| derived_type & | operator+= (const DenseVector< Other > &x) |
| vector space addition | |
| std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type & | operator+= (const ValueType &kk) |
| vector space add scalar to all comps More... | |
| derived_type & | operator-= (const DenseVector< Other > &x) |
| vector space subtraction | |
| std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type & | operator-= (const ValueType &kk) |
| vector space subtract scalar from all comps More... | |
| derived_type | operator+ (const DenseVector< Other > &b) const |
| Binary vector addition. | |
| derived_type | operator- (const DenseVector< Other > &b) const |
| Binary vector subtraction. | |
| derived_type | operator- () const |
| Vector negation. | |
| std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type & | operator*= (const FieldType &kk) |
| vector space multiplication with scalar More... | |
| std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type & | operator/= (const FieldType &kk) |
| vector space division by scalar More... | |
| bool | operator== (const DenseVector< Other > &x) const |
| Binary vector comparison. | |
| bool | operator!= (const DenseVector< Other > &x) const |
| Binary vector incomparison. | |
| PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType | operator* (const DenseVector< Other > &x) const |
| indefinite vector dot product \(\left (x^T \cdot y \right)\) which corresponds to Petsc's VecTDot More... | |
| PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType | dot (const DenseVector< Other > &x) const |
| vector dot product \(\left (x^H \cdot y \right)\) which corresponds to Petsc's VecDot More... | |
| FieldTraits< value_type >::real_type | one_norm () const |
| one norm (sum over absolute values of entries) | |
| FieldTraits< value_type >::real_type | one_norm_real () const |
| simplified one norm (uses Manhattan norm for complex values) | |
| FieldTraits< value_type >::real_type | two_norm () const |
| two norm sqrt(sum over squared values of entries) | |
| FieldTraits< value_type >::real_type | two_norm2 () const |
| square of two norm (sum over squared values of entries), need for block recursion | |
| FieldTraits< vt >::real_type | infinity_norm () const |
| infinity norm (maximum of absolute values of entries) | |
| FieldTraits< vt >::real_type | infinity_norm () const |
| infinity norm (maximum of absolute values of entries) | |
| FieldTraits< vt >::real_type | infinity_norm_real () const |
| simplified infinity norm (uses Manhattan norm for complex values) | |
| FieldTraits< vt >::real_type | infinity_norm_real () const |
| simplified infinity norm (uses Manhattan norm for complex values) | |
| size_type | N () const |
| number of blocks in the vector (are of size 1 here) | |
| size_type | dim () const |
| dimension of the vector space | |
Protected Member Functions | |
| void | init (const EntityType &entity) |
| initialize the local function for an entity More... | |
| void | init (const BasisFunctionSetType &basisFunctionSet) |
| initialize the local function for an basisFunctionSet More... | |
| void | bind (const EntityType &entity) |
| initialize the local function for an entity More... | |
Related Functions | |
(Note that these are not member functions.) | |
| std::ostream & | operator<< (std::ostream &s, const DenseVector< LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType, DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType > > &v) |
| Write a DenseVector to an output stream. More... | |
Detailed Description
class Dune::Fem::MutableLocalFunction< DiscreteFunction >
Manages the getting and deleting of local function pointers and acts like a local functions
Member Function Documentation
◆ assign()
|
inlineinherited |
assign all DoFs of this local function
- Parameters
-
[in] lf local function to assign DoFs from
◆ axpy() [1/3]
|
inlineinherited |
axpy operation for local function
Denoting the DoFs of the local function by \(u_i\) and the basis functions by \(\varphi_i\), this function performs the following operation:
\[ u_i = u_i + factor \cdot \nabla\varphi_i( x ) \]
- Parameters
-
[in] x point to evaluate jacobian of basis functions in [in] factor axpy factor
◆ axpy() [2/3]
|
inlineinherited |
axpy operation for local function
Denoting the DoFs of the local function by \(u_i\) and the basis functions by \(\varphi_i\), this function performs the following operation:
\[ u_i = u_i + factor \cdot \varphi_i( x ) \]
- Parameters
-
[in] x point to evaluate basis functions in [in] factor axpy factor
◆ axpy() [3/3]
|
inlineinherited |
axpy operation for local function
Denoting the DoFs of the local function by \(u_i\) and the basis functions by \(\varphi_i\), this function performs the following operation:
\[ u_i = u_i + factor1 \cdot \varphi_i( x ) + factor2 \cdot \nabla\varphi_i( x ) \]
- Parameters
-
[in] x point to evaluate basis functions in [in] factor1 axpy factor for \(\varphi( x )\) [in] factor2 axpy factor for \(\nabla\varphi( x )\)
◆ basisFunctionSet()
|
inlineinherited |
obtain the basis function set for this local function
- Returns
- reference to the basis function set
◆ beforeBegin() [1/2]
|
inlineinherited |
- Returns
- an iterator that is positioned before the first entry of the vector.
◆ beforeBegin() [2/2]
|
inlineinherited |
- Returns
- an iterator that is positioned before the first entry of the vector.
◆ beforeEnd() [1/2]
|
inlineinherited |
- Returns
- an iterator that is positioned before the end iterator of the vector, i.e. at the last entry.
◆ beforeEnd() [2/2]
|
inlineinherited |
- Returns
- an iterator that is positioned before the end iterator of the vector. i.e. at the last element
◆ bind()
|
inlineprotectedinherited |
initialize the local function for an entity
Binds the local function to an basisFunctionSet and entity.
- Note
- Must be overloaded on the derived implementation class.
- Parameters
-
[in] entity to bind the local function to
◆ dot()
|
inlineinherited |
vector dot product \(\left (x^H \cdot y \right)\) which corresponds to Petsc's VecDot
http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Vec/VecDot.html
- Parameters
-
x other vector
- Returns
◆ entity()
|
inlineinherited |
obtain the entity, this local function lives on
- Returns
- reference to the entity
◆ evaluate()
|
inlineinherited |
evaluate the local function
- Parameters
-
[in] x evaluation point in local coordinates [out] ret value of the function in the given point
◆ hessian()
|
inlineinherited |
evaluate Hessian of the local function
- Note
- Though the Hessian is evaluated on the reference element, the return value is the Hessian with respect to the actual entity.
- Parameters
-
[in] x evaluation point in local coordinates [out] ret Hessian of the function in the evaluation point
◆ init() [1/2]
|
inlineprotectedinherited |
initialize the local function for an basisFunctionSet
Binds the local function to an basisFunctionSet and entity.
- Note
- A local function must be initialized to an entity before it can be used.
- This function can be called multiple times to use the local function for more than one entity.
- Parameters
-
[in] basisFunctionSet to bind the local function to
◆ init() [2/2]
|
inlineprotectedinherited |
initialize the local function for an entity
Binds the local function to an basisFunctionSet and entity.
- Note
- Must be overloaded on the derived implementation class.
- Parameters
-
[in] entity to bind the local function to
◆ jacobian()
|
inlineinherited |
evaluate Jacobian of the local function
- Note
- Though the Jacobian is evaluated on the reference element, the return value is the Jacobian with respect to the actual entity.
- Parameters
-
[in] x evaluation point in local coordinates [out] ret Jacobian of the function in the evaluation point
◆ numDofs()
|
inlineinherited |
obtain the number of local DoFs
Obtain the number of local DoFs of this local function. The value is identical to the number of basis functons on the entity.
- Returns
- number of local DoFs
◆ operator*()
|
inlineinherited |
indefinite vector dot product \(\left (x^T \cdot y \right)\) which corresponds to Petsc's VecTDot
http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Vec/VecTDot.html
- Parameters
-
x other vector
- Returns
◆ operator*=()
|
inlineinherited |
vector space multiplication with scalar
we use enable_if to avoid an ambiguity, if the function parameter can be converted to field_type implicitly. (see FS#1457)
The function is only enabled, if the parameter is directly convertible to field_type.
◆ operator+=()
|
inlineinherited |
vector space add scalar to all comps
we use enable_if to avoid an ambiguity, if the function parameter can be converted to value_type implicitly. (see FS#1457)
The function is only enabled, if the parameter is directly convertible to value_type.
◆ operator-=()
|
inlineinherited |
vector space subtract scalar from all comps
we use enable_if to avoid an ambiguity, if the function parameter can be converted to value_type implicitly. (see FS#1457)
The function is only enabled, if the parameter is directly convertible to value_type.
◆ operator/=()
|
inlineinherited |
vector space division by scalar
we use enable_if to avoid an ambiguity, if the function parameter can be converted to field_type implicitly. (see FS#1457)
The function is only enabled, if the parameter is directly convertible to field_type.
◆ operator[]() [1/2]
|
inlineinherited |
access to local dofs (read-write)
- Parameters
-
[in] num local DoF number
- Returns
- reference to DoF
◆ operator[]() [2/2]
|
inlineinherited |
access to local dofs (read-only)
- Parameters
-
[in] num local dof number
- Returns
- reference to dof
◆ order()
|
inlineinherited |
obtain the order of this local function
The order of a local function refers to the polynomial order required to integrate it exactly.
- Note
- It is not completely clear what this value should be, e.g., for bilinear basis functions.
- Returns
- order of the local function
◆ size()
|
inlineinherited |
obtain the number of local DoFs
Obtain the number of local DoFs of this local function. The value is identical to the number of basis functons on the entity.
- Returns
- number of local DoFs
Friends And Related Function Documentation
◆ operator<<()
|
related |
Write a DenseVector to an output stream.
- Parameters
-
[in] s std :: ostream to write to [in] v DenseVector to write
- Returns
- the output stream (s)
The documentation for this class was generated from the following file:
- dune/fem/function/localfunction/mutable.hh
|
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