DUNE-FEM (unstable)

#include <dune/fem/function/common/discretefunction.hh>

Public Types

typedef DiscreteFunctionTraits< Impl > Traits
 type of the traits
 
typedef Traits::DiscreteFunctionType DiscreteFunctionType
 type of the implementaton (Barton-Nackman)
 
typedef Traits::DiscreteFunctionSpaceType DiscreteFunctionSpaceType
 type of associated discrete function space
 
typedef DiscreteFunctionSpaceType::FunctionSpaceType FunctionSpaceType
 type of associated function space
 
typedef DiscreteFunctionInterface< Impl > DiscreteFunctionInterfaceType
 type of the discrete function interface (this type)
 
typedef DiscreteFunctionSpaceType::DomainFieldType DomainFieldType
 type of domain field, i.e. type of coordinate component
 
typedef DiscreteFunctionSpaceType::RangeFieldType RangeFieldType
 type of range field, i.e. dof type
 
typedef DiscreteFunctionSpaceType::DomainType DomainType
 type of domain, i.e. type of coordinates
 
typedef DiscreteFunctionSpaceType::RangeType RangeType
 type of range, i.e. result of evaluation
 
typedef DiscreteFunctionSpaceType::JacobianRangeType JacobianRangeType
 type of jacobian, i.e. type of evaluated gradient
 
typedef DiscreteFunctionSpaceType::GridPartType GridPartType
 type of the underlying grid part
 
typedef DiscreteFunctionSpaceType::GridType GridType
 type of the underlying grid
 
typedef Traits::LocalFunctionType LocalFunctionType
 type of local functions
 
typedef Traits::DofVectorType DofVectorType
 type of the dof vector used in the discrete function implementation
 
typedef Traits::DofIteratorType DofIteratorType
 type of the dof iterator used in the discrete function implementation
 
typedef Traits::ConstDofIteratorType ConstDofIteratorType
 type of the constantdof iterator used in the discrete function implementation
 
typedef BaseType::MappingType MappingType
 type of mapping base class for this discrete function
 
typedef DiscreteFunctionSpaceType::EntityType EntityType
 type of entity local functions are defined on
 

Public Member Functions

const std::string & name () const
 obtain the name of the discrete function More...
 
std::string & name ()
 obtain the name of the discrete function More...
 
const std::string & order () const
 obtain an upper bound on the polynomial order of the underlying space.
 
bool continuous () const
 returns true if the space contains only globally continuous functions More...
 
const DiscreteFunctionSpaceTypespace () const
 obtain a reference to the corresponding DiscreteFunctionSpace
 
const GridPartTypegridPart () const
 obtain a reference to the underlying grid part
 
LocalFunctionType localFunction (const EntityType &entity)
 obtain a local function for an entity (read-write) More...
 
const LocalFunctionType localFunction (const EntityType &entity) const
 obtain a local function for an entity (read-write) More...
 
LocalFunctionType localFunction ()
 obtain an uninitialized local function (read-write) More...
 
template<class LocalDofs >
void addScaledLocalDofs (const EntityType &entity, const RangeFieldType &s, const LocalDofs &localDofs)
 add scaled local Dofs to dof vector associated with the entity More...
 
template<class LocalDofs >
void addLocalDofs (const EntityType &entity, const LocalDofs &localDofs)
 add local Dofs to dof vector associated with the entity More...
 
template<class LocalDofs >
void setLocalDofs (const EntityType &entity, const LocalDofs &localDofs)
 set local Dofs to dof vector associated with the entity More...
 
template<class Vector >
void getLocalDofs (const EntityType &entity, Vector &localDofs) const
 fill local Dofs to dof vector associated with the entity More...
 
const LocalFunctionType localFunction () const
 obtain an uninitialized local function (read-write) More...
 
void clear ()
 set all degrees of freedom to zero
 
int size () const
 obtain total number of DoFs More...
 
int blocks () const
 obtain total number of blocks, i.e. size / blockSize. More...
 
ConstDofIteratorType dbegin () const
 obtain an iterator pointing to the first DoF (read-only) More...
 
ConstDofIteratorType dend () const
 obtain an iterator pointing behind the last DoF (read-only) More...
 
DofIteratorType dbegin ()
 obtain an iterator pointing to the first DoF (read-write) More...
 
DofIteratorType dend ()
 obtain an iterator pointing behind the last DoF (read-write) More...
 
void axpy (const RangeFieldType &s, const DiscreteFunctionInterfaceType &g)
 axpy operation More...
 
template<class DFType >
RangeFieldType scalarProductDofs (const DiscreteFunctionInterface< DFType > &other) const
 Scalar product between the DoFs of two discrete functions. More...
 
Dune::FieldTraits< RangeFieldType >::real_type normSquaredDofs () const
 Squared small l^2 norm of all dofs. More...
 
void print (std ::ostream &out) const
 print all DoFs to a stream (for debugging purposes) More...
 
bool dofsValid () const
 check for NaNs More...
 
template<class DFType >
void assign (const DiscreteFunctionInterface< DFType > &g)
 assign the DoFs of another discrete function to this one More...
 
template<class Operation >
CommDataHandle< Operation >::Type dataHandle (const Operation &operation)
 return reference to data handle object
 
void communicate ()
 do default communication of space for this discrete function
 
template<class DFType >
DiscreteFunctionTypeoperator+= (const DiscreteFunctionInterface< DFType > &g)
 add another discrete function to this one More...
 
template<class DFType >
DiscreteFunctionTypeoperator-= (const DiscreteFunctionInterface< DFType > &g)
 substract all degrees of freedom from given discrete function using the dof iterators More...
 
DiscreteFunctionTypeoperator*= (const RangeFieldType &scalar)
 multiply all DoFs by a scalar factor More...
 
DiscreteFunctionTypeoperator/= (const RangeFieldType &scalar)
 devide all DoFs by a scalar factor More...
 
template<class StreamTraits >
void read (InStreamInterface< StreamTraits > &in)
 read the discrete function from a stream More...
 
template<class StreamTraits >
void write (OutStreamInterface< StreamTraits > &out) const
 write the discrete function into a stream More...
 
void enableDofCompression ()
 Enable this discrete function for dof compression, i.e. during grid changes a dof compression is done when the DofManagers compress is called.
 

Static Public Attributes

static constexpr std::size_t blockSize = Hybrid::size( BlockIndices() )
 size of the dof blocks
 

Protected Member Functions

 DiscreteFunctionInterface ()=default
 default constructor
 

Related Functions

(Note that these are not member functions.)

template<class Impl >
std::ostream & operator<< (std::ostream &out, const DiscreteFunctionInterface< Impl > &df)
 write a discrete function into an STL stream More...
 

Detailed Description

template<class Impl>
class Dune::Fem::DiscreteFunctionInterface< Impl >

This is the interface of a discrete function which describes the features of a discrete function. It contains a local function and a dof iterator which can iterate over all dofs of one level. Via the method access the local dofs and basis functions can be accessed for a given entity. The DOF-Iterators are STL-like Iterators, i.e. they can be dereferenced giving the corresponding DOF.

An interface class:

Member Function Documentation

◆ addLocalDofs()

template<class Impl >
template<class LocalDofs >
void Dune::Fem::DiscreteFunctionInterface< Impl >::addLocalDofs ( const EntityType entity,
const LocalDofs &  localDofs 
)
inline

add local Dofs to dof vector associated with the entity

Parameters
[in]entityEntity to focus view of discrete function
[in]localDofsthe local dofs vector to be added

◆ addScaledLocalDofs()

template<class Impl >
template<class LocalDofs >
void Dune::Fem::DiscreteFunctionInterface< Impl >::addScaledLocalDofs ( const EntityType entity,
const RangeFieldType s,
const LocalDofs &  localDofs 
)
inline

add scaled local Dofs to dof vector associated with the entity

Parameters
[in]entityEntity to focus view of discrete function
[in]sscaling factor
[in]localDofsthe local dofs vector to be added

◆ assign()

template<class Impl >
template<class DFType >
void Dune::Fem::DiscreteFunctionInterface< Impl >::assign ( const DiscreteFunctionInterface< DFType > &  g)
inline

assign the DoFs of another discrete function to this one

Parameters
[in]gdiscrete function which is copied

◆ axpy()

template<class Impl >
void Dune::Fem::DiscreteFunctionInterface< Impl >::axpy ( const RangeFieldType s,
const DiscreteFunctionInterfaceType g 
)
inline

axpy operation

Adds s * g to this discrete function.

Parameters
[in]sscalar value to scale g with
[in]gdiscrete function to add

◆ blocks()

template<class Impl >
int Dune::Fem::DiscreteFunctionInterface< Impl >::blocks ( ) const
inline

obtain total number of blocks, i.e. size / blockSize.

The number of blocks of DoFs (degrees of freedom) can also be seen as the size of the discrete function divided by the blockSize.

Returns
total number of DoFs blocks

◆ continuous()

template<class Impl >
bool Dune::Fem::DiscreteFunctionInterface< Impl >::continuous ( ) const
inline

returns true if the space contains only globally continuous functions

For example, a Lagrange space returns true while a discontiuous Galerkin space returns false.

Returns
true if the space contians only globally continous functions, false otherwise

◆ dbegin() [1/2]

template<class Impl >
DofIteratorType Dune::Fem::DiscreteFunctionInterface< Impl >::dbegin ( )
inline

obtain an iterator pointing to the first DoF (read-write)

Returns
a DoF iterator pointing to first DoF (degre of freedom)

◆ dbegin() [2/2]

template<class Impl >
ConstDofIteratorType Dune::Fem::DiscreteFunctionInterface< Impl >::dbegin ( ) const
inline

obtain an iterator pointing to the first DoF (read-only)

Returns
a DoF iterator pointing to first DoF (degre of freedom)

◆ dend() [1/2]

template<class Impl >
DofIteratorType Dune::Fem::DiscreteFunctionInterface< Impl >::dend ( )
inline

obtain an iterator pointing behind the last DoF (read-write)

Returns
a DoF iterator pointing behind the last DoF (degree of freedom)

◆ dend() [2/2]

template<class Impl >
ConstDofIteratorType Dune::Fem::DiscreteFunctionInterface< Impl >::dend ( ) const
inline

obtain an iterator pointing behind the last DoF (read-only)

Returns
a DoF iterator pointing behind the last DoF (degree of freedom)

◆ dofsValid()

template<class Impl >
bool Dune::Fem::DiscreteFunctionInterface< Impl >::dofsValid ( ) const
inline

check for NaNs

Returns
if one of the DoFs is NaN false is returned, otherwise true

◆ getLocalDofs()

template<class Impl >
template<class Vector >
void Dune::Fem::DiscreteFunctionInterface< Impl >::getLocalDofs ( const EntityType entity,
Vector &  localDofs 
) const
inline

fill local Dofs to dof vector associated with the entity

Parameters
[in]entityEntity to focus view of discrete function
[out]localDofsthe local dofs vector to be set
Note
localDofs should have sufficient size to store the dof values

◆ localFunction() [1/4]

template<class Impl >
LocalFunctionType Dune::Fem::DiscreteFunctionInterface< Impl >::localFunction ( )
inline

obtain an uninitialized local function (read-write)

Note
before calling any method of the local function initialize it passing an entity
Returns
an uninitialized local function

◆ localFunction() [2/4]

template<class Impl >
const LocalFunctionType Dune::Fem::DiscreteFunctionInterface< Impl >::localFunction ( ) const
inline

obtain an uninitialized local function (read-write)

Note
before calling any method of the local function initialize it passing an entity
Returns
an uninitialized local function

◆ localFunction() [3/4]

template<class Impl >
LocalFunctionType Dune::Fem::DiscreteFunctionInterface< Impl >::localFunction ( const EntityType entity)
inline

obtain a local function for an entity (read-write)

Parameters
[in]entityEntity to focus view of discrete function
Returns
a local function associated with the entity

◆ localFunction() [4/4]

template<class Impl >
const LocalFunctionType Dune::Fem::DiscreteFunctionInterface< Impl >::localFunction ( const EntityType entity) const
inline

obtain a local function for an entity (read-write)

Parameters
[in]entityEntity to focus view of discrete function
Returns
a local function associated with the entity

◆ name() [1/2]

template<class Impl >
std::string & Dune::Fem::DiscreteFunctionInterface< Impl >::name ( )
inline

obtain the name of the discrete function

Returns
string holding name of discrete function

◆ name() [2/2]

template<class Impl >
const std::string & Dune::Fem::DiscreteFunctionInterface< Impl >::name ( ) const
inline

obtain the name of the discrete function

Returns
string holding name of discrete function

◆ normSquaredDofs()

template<class Impl >
Dune::FieldTraits< RangeFieldType >::real_type Dune::Fem::DiscreteFunctionInterface< Impl >::normSquaredDofs ( ) const
inline

Squared small l^2 norm of all dofs.

Note
This is already parallel, so do not sum over all processes after calling scalarProductDofs!
It is assumed that the discrete function has been communicated (i.e., every local DoF hat the value of the corresponding global DoF).
Returns
the squared norm of the DoF-vectors

◆ operator*=()

template<class Impl >
DiscreteFunctionType & Dune::Fem::DiscreteFunctionInterface< Impl >::operator*= ( const RangeFieldType scalar)
inline

multiply all DoFs by a scalar factor

Parameters
[in]scalarfactor to muliply all DoFs by
Returns
a reference to this discrete function (i.e. *this)

Referenced by Dune::Fem::DiscreteFunctionDefault< Impl >::operator/=().

◆ operator+=()

template<class Impl >
template<class DFType >
DiscreteFunctionType & Dune::Fem::DiscreteFunctionInterface< Impl >::operator+= ( const DiscreteFunctionInterface< DFType > &  g)
inline

add another discrete function to this one

Parameters
[in]gdiscrete function to add
Returns
a reference to this discrete function (i.e. *this)

◆ operator-=()

template<class Impl >
template<class DFType >
DiscreteFunctionType & Dune::Fem::DiscreteFunctionInterface< Impl >::operator-= ( const DiscreteFunctionInterface< DFType > &  g)
inline

substract all degrees of freedom from given discrete function using the dof iterators

Parameters
[in]gdiscrete function which is substracted from this discrete function
Returns
reference to this (i.e. *this)

◆ operator/=()

template<class Impl >
DiscreteFunctionType & Dune::Fem::DiscreteFunctionInterface< Impl >::operator/= ( const RangeFieldType scalar)
inline

devide all DoFs by a scalar factor

Parameters
[in]scalarfactor to divide all DoFs by
Returns
a reference to this discrete function (i.e. *this)

◆ print()

template<class Impl >
void Dune::Fem::DiscreteFunctionInterface< Impl >::print ( std ::ostream &  out) const
inline

print all DoFs to a stream (for debugging purposes)

Parameters
[in]outstream to print to

Referenced by Dune::Fem::DiscreteFunctionInterface< Impl >::operator<<().

◆ read()

template<class Impl >
template<class StreamTraits >
void Dune::Fem::DiscreteFunctionInterface< Impl >::read ( InStreamInterface< StreamTraits > &  in)
inline

read the discrete function from a stream

Parameters
[in]instream to read the discrete function from
Note
This call will automatically enable dof compression for this discrete function.

Referenced by Dune::Fem::InStreamInterface< TraitsImp >::operator>>().

◆ scalarProductDofs()

template<class Impl >
template<class DFType >
RangeFieldType Dune::Fem::DiscreteFunctionInterface< Impl >::scalarProductDofs ( const DiscreteFunctionInterface< DFType > &  other) const
inline

Scalar product between the DoFs of two discrete functions.

Note
This is a parallel scalar product, so do not sum over all processes after calling scalarProductDofs!
It is assumed that the discrete function has been communicated (i.e., every local DoF hat the value of the corresponding global DoF).
Parameters
[in]otherdiscrete function to evaluate the scalar product with
Returns
the scalar product of the DoF-vectors

◆ setLocalDofs()

template<class Impl >
template<class LocalDofs >
void Dune::Fem::DiscreteFunctionInterface< Impl >::setLocalDofs ( const EntityType entity,
const LocalDofs &  localDofs 
)
inline

set local Dofs to dof vector associated with the entity

Parameters
[in]entityEntity to focus view of discrete function
[in]localDofsthe local dofs vector to be set

◆ size()

template<class Impl >
int Dune::Fem::DiscreteFunctionInterface< Impl >::size ( ) const
inline

obtain total number of DoFs

The number of DoFs (degrees of freedom) can also be seen as the size of the discrete function, i.e., the size of the vector that forms this discrete funciton.

Returns
total number of DoFs for this discrete function

◆ write()

template<class Impl >
template<class StreamTraits >
void Dune::Fem::DiscreteFunctionInterface< Impl >::write ( OutStreamInterface< StreamTraits > &  out) const
inline

write the discrete function into a stream

Parameters
[in]outstream to write the discrete function to

Friends And Related Function Documentation

◆ operator<<()

template<class Impl >
std::ostream & operator<< ( std ::ostream &  out,
const DiscreteFunctionInterface< Impl > &  df 
)
related

write a discrete function into an STL stream

Parameters
[in]outSTL stream to write to
[in]dfdiscrete function to write
Returns
the STL stream (for concatenation)

References Dune::Fem::DiscreteFunctionInterface< Impl >::print().


The documentation for this class was generated from the following files:
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