dune-fem
2.4.1-rc
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A constant local function carrying values for one entity. More...
#include </local/tomalk/somewhere/tmp/dune-fem/dune/fem/function/localfunction/const.hh>
Public Types | |
typedef std::remove_const< DiscreteFunction >::type | DiscreteFunctionType |
typedef DiscreteFunctionType::DiscreteFunctionSpaceType | DiscreteFunctionSpaceType |
typedef BaseType::DofType | DofType |
typedef BaseType::EntityType | EntityType |
typedef BaseType::BasisFunctionSetType | BasisFunctionSetType |
typedef BaseType::LocalDofVectorType | LocalDofVectorType |
typedef BaseType::SizeType | SizeType |
type of SizeType More... | |
typedef BasisFunctionSetType::FunctionSpaceType | FunctionSpaceType |
type of functionspace More... | |
typedef FunctionSpaceType::DomainFieldType | DomainFieldType |
field type of the domain More... | |
typedef FunctionSpaceType::RangeFieldType | RangeFieldType |
field type of the range More... | |
typedef FunctionSpaceType::DomainType | DomainType |
type of domain vectors, i.e., type of coordinates More... | |
typedef FunctionSpaceType::RangeType | RangeType |
type of range vectors, i.e., type of function values More... | |
typedef FunctionSpaceType::JacobianRangeType | JacobianRangeType |
type of the Jacobian, i.e., type of evaluated Jacobian matrix More... | |
typedef FunctionSpaceType::HessianRangeType | HessianRangeType |
type of the Hessian More... | |
typedef EntityType::Geometry::LocalCoordinate | LocalCoordinateType |
type of local coordinates More... | |
Public Member Functions | |
ConstLocalFunction (const DiscreteFunctionType &df) | |
constructor creating a local function without binding it to an entity More... | |
ConstLocalFunction (const typename DiscreteFunctionType::LocalFunctionType &localFunction) | |
cast a MutableLocalFunction into this one !!! expensive !!! More... | |
ConstLocalFunction (const DiscreteFunctionType &df, const EntityType &entity) | |
constructor creating a local function and binding it to an entity More... | |
ConstLocalFunction (const ThisType &other) | |
copy constructor More... | |
ConstLocalFunction (ThisType &&other) | |
move constructor More... | |
void | init (const EntityType &entity) |
interface for local functions :: init More... | |
const DiscreteFunctionType & | discreteFunction () const |
const DofType & | operator[] (SizeType num) const |
access to local dofs (read-only) More... | |
ThisType & | operator+= (const LocalFunction< DiscreteFunctionTraits< std::remove_const< DiscreteFunction >::type >::DiscreteFunctionSpaceType::BasisFunctionSetType, T > &other) |
add another local function to this one More... | |
void | assign (const LocalFunction< DiscreteFunctionTraits< std::remove_const< DiscreteFunction >::type >::DiscreteFunctionSpaceType::BasisFunctionSetType, T > &other) |
assign all DoFs of this local function More... | |
void | clear () |
set all DoFs to zero More... | |
ThisType & | operator-= (const LocalFunction< DiscreteFunctionTraits< std::remove_const< DiscreteFunction >::type >::DiscreteFunctionSpaceType::BasisFunctionSetType, T > &other) |
subtract another local function to this one More... | |
ThisType & | axpy (const RangeFieldType s, const LocalFunction< DiscreteFunctionTraits< std::remove_const< DiscreteFunction >::type >::DiscreteFunctionSpaceType::BasisFunctionSetType, T > &other) |
add a multiple of another local function to this one More... | |
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... | |
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 | init (const BasisFunctionSetType &basisFunctionSet) |
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 |
int | numScalarDofs () const |
obtain the number of local DoFs in the scalar case More... | |
void | axpyQuadrature (const QuadratureType &quad, const VectorType &values) |
evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients More... | |
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 More... | |
void | evaluateQuadrature (const QuadratureType &quad, VectorType &result) const |
evaluate all basisfunctions for all quadrature points and store the results in the result vector More... | |
const LocalDofVectorType & | localDofVector () const |
return const reference to local Dof Vector More... | |
LocalDofVectorType & | localDofVector () |
return mutable reference to local Dof Vector More... | |
Static Public Attributes | |
static const int | dimDomain |
dimension of the domain More... | |
static const int | dimRange |
dimension of the range More... | |
Protected Member Functions | |
DofType & | operator[] (SizeType num) |
void | evaluateQuadrature (const QuadratureType &quad, VectorType &result, const RangeType &) const |
void | evaluateQuadrature (const QuadratureType &quad, VectorType &result, const JacobianRangeType &) const |
Protected Attributes | |
const DiscreteFunctionType * | discreteFunction_ |
BasisFunctionSetType | basisFunctionSet_ |
LocalDofVectorType | localDofVector_ |
A constant local function carrying values for one entity.
A ConstLocalFunction is a LocalFunction which is basically doing the same as the LocalFunction of a discrete function. The difference is that the local dofs are not kept as references but are copied to a local storage. Therefore, this is a const local function and any modification of dofs is not allowed.
DiscreteFunction | type of the discrete function, the local function shall belong to |
typedef BaseType::BasisFunctionSetType Dune::Fem::ConstLocalFunction< DiscreteFunction >::BasisFunctionSetType |
typedef DiscreteFunctionType::DiscreteFunctionSpaceType Dune::Fem::ConstLocalFunction< DiscreteFunction >::DiscreteFunctionSpaceType |
typedef std::remove_const< DiscreteFunction >::type Dune::Fem::ConstLocalFunction< DiscreteFunction >::DiscreteFunctionType |
typedef BaseType::DofType Dune::Fem::ConstLocalFunction< DiscreteFunction >::DofType |
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inherited |
field type of the domain
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inherited |
type of domain vectors, i.e., type of coordinates
typedef BaseType::EntityType Dune::Fem::ConstLocalFunction< DiscreteFunction >::EntityType |
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inherited |
type of functionspace
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inherited |
type of the Hessian
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inherited |
type of the Jacobian, i.e., type of evaluated Jacobian matrix
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inherited |
type of local coordinates
typedef BaseType::LocalDofVectorType Dune::Fem::ConstLocalFunction< DiscreteFunction >::LocalDofVectorType |
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field type of the range
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type of range vectors, i.e., type of function values
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inherited |
type of SizeType
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inlineexplicit |
constructor creating a local function without binding it to an entity
Creates the local function without initializing the fields depending on the current entity.
[in] | df | discrete function the local function shall belong to |
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inline |
cast a MutableLocalFunction into this one !!! expensive !!!
References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().
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inline |
constructor creating a local function and binding it to an entity
Creates the local function and initilizes the fields depending on the current entity. It is not necessary, though allowed, to call init before using the discrete function.
[in] | df | discrete function the local function shall belong to |
[in] | entity | entity for initialize the local function to |
References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().
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inline |
copy constructor
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inline |
move constructor
References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().
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inlineinherited |
assign all DoFs of this local function
[in] | lf | local function to assign DoFs from |
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inlineinherited |
add a multiple of another local function to this one
[in] | s | scalar factor to scale lf with |
[in] | lf | local function to add |
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inlineinherited |
axpy operation for local function
Denoting the DoFs of the local function by and the basis functions by
, this function performs the following operation:
[in] | x | point to evaluate basis functions in |
[in] | factor | axpy factor |
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inlineinherited |
axpy operation for local function
Denoting the DoFs of the local function by and the basis functions by
, this function performs the following operation:
[in] | x | point to evaluate jacobian of basis functions in |
[in] | factor | axpy factor |
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inlineinherited |
axpy operation for local function
Denoting the DoFs of the local function by and the basis functions by
, this function performs the following operation:
[in] | x | point to evaluate basis functions in |
[in] | factor1 | axpy factor for ![]() |
[in] | factor2 | axpy factor for ![]() |
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inlineinherited |
evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients
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inlineinherited |
evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients
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inlineinherited |
obtain the basis function set for this local function
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inlineinherited |
set all DoFs to zero
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inline |
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inlineinherited |
obtain the entity, this local function lives on
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inlineinherited |
evaluate the local function
[in] | x | evaluation point in local coordinates |
[out] | ret | value of the function in the given point |
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inlineinherited |
evaluate all basisfunctions for all quadrature points and store the results in the result vector
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inlineprotectedinherited |
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inlineprotectedinherited |
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inlineinherited |
evaluate Hessian of the local function
[in] | x | evaluation point in local coordinates |
[out] | ret | Hessian of the function in the evaluation point |
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inline |
interface for local functions :: init
Local functions are used to represend a discrete function on one entity. The LocalFunctionInterface defines the functionality that can be expected from such a local function. :: init
References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::init(), and Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().
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inlineinherited |
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inlineinherited |
evaluate Jacobian of the local function
[in] | x | evaluation point in local coordinates |
[out] | ret | Jacobian of the function in the evaluation point |
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inlineinherited |
return const reference to local Dof Vector
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inlineinherited |
return mutable reference to local Dof Vector
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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.
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inlineinherited |
obtain the number of local DoFs in the scalar case
Obtain the number of local DoFs of the scalar case of this local function. The value is identical to the number of basis functons on the entity.
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inlineinherited |
add another local function to this one
[in] | lf | local function to add |
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inlineinherited |
subtract another local function to this one
[in] | lf | local function to subtract |
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inlineprotectedinherited |
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inlineinherited |
access to local dofs (read-only)
[in] | num | local dof number |
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inlineinherited |
obtain the order of this local function
The order of a local function refers to the polynomial order required to integrate it exactly.
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inlineinherited |
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protectedinherited |
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staticinherited |
dimension of the domain
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staticinherited |
dimension of the range
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protected |
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protectedinherited |