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dune-fem 2.8.0
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#include <dune/fem/function/localfunction/const.hh>

Public Member Functions | |
| BasicConstLocalFunction () | |
| default ctor | |
| BasicConstLocalFunction (const BasisFunctionSetType &basisFunctionSet) | |
| BasicConstLocalFunction (const LocalDofVectorType &localDofVector) | |
| BasicConstLocalFunction (const BasisFunctionSetType &basisFunctionSet, const LocalDofVectorType &localDofVector) | |
| BasicConstLocalFunction (LocalDofVectorType &&localDofVector) | |
| BasicConstLocalFunction (const BasisFunctionSetType &basisFunctionSet, LocalDofVectorType &&localDofVector) | |
| BasicConstLocalFunction (const BaseType &other) | |
| BasicConstLocalFunction (const ThisType &other) | |
| BasicConstLocalFunction (ThisType &&other) | |
| const DofType & | operator[] (SizeType i) const |
| const DofType & | operator[] (SizeType i) |
| const LocalDofVectorType & | localDofVector () const |
| return const reference to local Dof Vector | |
| LocalDofVectorType & | localDofVector () |
| return mutable reference to local Dof Vector | |
| int | order () const |
| obtain the order of this local function | |
| const BasisFunctionSetType & | basisFunctionSet () const |
| obtain the basis function set for this local function | |
| const EntityType & | entity () const |
| obtain the entity, this local function lives on | |
| template<class PointType > | |
| void | evaluate (const PointType &x, RangeType &ret) const |
| evaluate the local function | |
| template<class PointType > | |
| void | jacobian (const PointType &x, JacobianRangeType &ret) const |
| evaluate Jacobian of the local function | |
| template<class PointType > | |
| void | hessian (const PointType &x, HessianRangeType &ret) const |
| evaluate Hessian of the local function | |
| int | numDofs () const |
| obtain the number of local DoFs | |
| SizeType | size () const |
| obtain the number of local DoFs | |
| template<class QuadratureType , class ... Vectors> | |
| 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 | |
| template<class QuadratureType , class RangeVectorType , class JacobianRangeVectorType > | |
| 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 | |
| template<class QuadratureType , class ... Vectors> | |
| void | evaluateQuadrature (const QuadratureType &quad, Vectors &... vec) const |
| evaluate all basisfunctions for all quadrature points and store the results in the result vector | |
| template<class QuadratureType , class ... Vectors> | |
| 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 | |
| template<class QuadratureType , class ... Vectors> | |
| 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. | |
Static Public Attributes | |
| static const int | dimDomain = FunctionSpaceType::dimDomain |
| dimension of the domain | |
| static const int | dimRange = FunctionSpaceType::dimRange |
| dimension of the range | |
Protected Member Functions | |
| void | clear () |
| set all DoFs to zero | |
| template<class T > | |
| void | assign (const LocalFunction< BasisFunctionSet, T > &other) |
| assign all DoFs of this local function | |
| template<class PointType > | |
| void | axpy (const PointType &x, const RangeType &factor) |
| axpy operation for local function | |
| template<class PointType > | |
| void | axpy (const PointType &x, const JacobianRangeType &factor) |
| axpy operation for local function | |
| template<class PointType > | |
| void | axpy (const PointType &x, const HessianRangeType &factor) |
| template<class PointType > | |
| void | axpy (const PointType &x, const RangeType &factor1, const JacobianRangeType &factor2) |
| axpy operation for local function | |
| template<class QuadratureType , class VectorType > | |
| void | evaluateQuadrature (const QuadratureType &quad, VectorType &result, const RangeType &) const |
| template<class QuadratureType , class VectorType > | |
| void | evaluateQuadrature (const QuadratureType &quad, VectorType &result, const JacobianRangeType &) const |
| template<class QuadratureType , class VectorType > | |
| void | evaluateQuadrature (const QuadratureType &quad, VectorType &result, const HessianRangeType &) const |
| void | init (const EntityType &entity) |
| initialize the local function for an entity | |
| void | init (const BasisFunctionSetType &basisFunctionSet) |
| initialize the local function for an basisFunctionSet | |
| void | bind (const EntityType &entity) |
| initialize the local function for an entity | |
| void | unbind () |
| clears the local function by removing the basisFunctionSet | |
Protected Attributes | |
| BasisFunctionSetType | basisFunctionSet_ |
| LocalDofVectorType | localDofVector_ |
| typedef BaseType::BasisFunctionSetType Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasisFunctionSetType |
type of BasisFunctionSet
| typedef BaseType::DofType Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::DofType |
type of Dof
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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::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::EntityType |
type of Entity
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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::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::LocalDofVectorType |
type of LocalDofVector
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inherited |
field type of the range
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inherited |
type of range vectors, i.e., type of function values
| typedef BaseType::SizeType Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::SizeType |
type of SizeType
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inline |
default ctor
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inlineexplicit |
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inlineexplicit |
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inline |
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inlineexplicit |
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inline |
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inline |
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inline |
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inline |
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inlineprotected |
assign all DoFs of this local function
| [in] | lf | local function to assign DoFs from |
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inlineprotected |
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inlineprotected |
axpy operation for local function
Denoting the DoFs of the local function by 

![\[
u_i = u_i + factor \cdot \nabla\varphi_i( x )
\]](form_5.png)
| [in] | x | point to evaluate jacobian of basis functions in |
| [in] | factor | axpy factor |
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inlineprotected |
axpy operation for local function
Denoting the DoFs of the local function by 

![\[
u_i = u_i + factor \cdot \varphi_i( x )
\]](form_4.png)
| [in] | x | point to evaluate basis functions in |
| [in] | factor | axpy factor |
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inlineprotected |
axpy operation for local function
Denoting the DoFs of the local function by 

![\[
u_i = u_i + factor1 \cdot \varphi_i( x ) + factor2 \cdot \nabla\varphi_i( x )
\]](form_6.png)
| [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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inlineprotectedinherited |
initialize the local function for an entity
Binds the local function to an basisFunctionSet and entity.
| [in] | entity | to bind the local function to |
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inlineprotected |
set all DoFs to zero
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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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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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inlineinherited |
evaluate all hessians of all basis functions for all quadrature points and store the results in the result vector
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inlineprotectedinherited |
initialize the local function for an basisFunctionSet
Binds the local function to an basisFunctionSet and entity.
| [in] | basisFunctionSet | to bind the local function to |
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inlineprotectedinherited |
initialize the local function for an entity
Binds the local function to an basisFunctionSet and entity.
| [in] | entity | to bind the local function to |
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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 |
evaluate all Jacobians for all basis functions for all quadrature points and store the results in the result vector
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inline |
return mutable reference to local Dof Vector
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inline |
return const 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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inline |
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inline |
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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 |
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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inlineprotectedinherited |
clears the local function by removing the basisFunctionSet
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inlineinherited |
Returns true if local function if bind or init was previously called.
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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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protectedinherited |