ROL
H1VectorPrimal< Real > Class Template Reference

#include <test_04.hpp>

Inheritance diagram for H1VectorPrimal< Real >:

Public Member Functions

 H1VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< BurgersFEM< Real > > &fem)
Real dot (const ROL::Vector< Real > &x) const override
ROL::Ptr< ROL::Vector< Real > > clone () const override
 Clone to make a new (uninitialized) vector.
const ROL::Vector< Real > & dual () const override
 Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.
 H1VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< BurgersFEM< Real > > &fem)
void set (const ROL::Vector< Real > &x)
 Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).
void plus (const ROL::Vector< Real > &x)
 Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).
void scale (const Real alpha)
 Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).
Real dot (const ROL::Vector< Real > &x) const
Real norm () const
 Returns \( \| y \| \) where \(y = \mathtt{*this}\).
ROL::Ptr< ROL::Vector< Real > > clone () const
 Clone to make a new (uninitialized) vector.
ROL::Ptr< const std::vector< Real > > getVector () const
ROL::Ptr< std::vector< Real > > getVector ()
ROL::Ptr< ROL::Vector< Real > > basis (const int i) const
 Return i-th basis vector.
int dimension () const
 Return dimension of the vector space.
const ROL::Vector< Real > & dual () const
 Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.
Real apply (const ROL::Vector< Real > &x) const
 Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).
 H1VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< BurgersFEM< Real > > &fem)
void set (const ROL::Vector< Real > &x)
 Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).
void plus (const ROL::Vector< Real > &x)
 Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).
void scale (const Real alpha)
 Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).
Real dot (const ROL::Vector< Real > &x) const
Real norm () const
 Returns \( \| y \| \) where \(y = \mathtt{*this}\).
ROL::Ptr< ROL::Vector< Real > > clone () const
 Clone to make a new (uninitialized) vector.
ROL::Ptr< const std::vector< Real > > getVector () const
ROL::Ptr< std::vector< Real > > getVector ()
ROL::Ptr< ROL::Vector< Real > > basis (const int i) const
 Return i-th basis vector.
int dimension () const
 Return dimension of the vector space.
const ROL::Vector< Real > & dual () const
 Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.
Real apply (const ROL::Vector< Real > &x) const
 Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).
 H1VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< BurgersFEM< Real > > &fem)
void set (const ROL::Vector< Real > &x)
 Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).
void plus (const ROL::Vector< Real > &x)
 Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).
void scale (const Real alpha)
 Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).
Real dot (const ROL::Vector< Real > &x) const
Real norm () const
 Returns \( \| y \| \) where \(y = \mathtt{*this}\).
ROL::Ptr< ROL::Vector< Real > > clone () const
 Clone to make a new (uninitialized) vector.
ROL::Ptr< const std::vector< Real > > getVector () const
ROL::Ptr< std::vector< Real > > getVector ()
ROL::Ptr< ROL::Vector< Real > > basis (const int i) const
 Return i-th basis vector.
int dimension () const
 Return dimension of the vector space.
const ROL::Vector< Real > & dual () const
 Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.
Real apply (const ROL::Vector< Real > &x) const
 Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).
 H1VectorPrimal (const ROL::Ptr< std::vector< Real > > &vec, const ROL::Ptr< BurgersFEM< Real > > &fem)
Real dot (const ROL::Vector< Real > &x) const
ROL::Ptr< ROL::Vector< Real > > clone () const
 Clone to make a new (uninitialized) vector.
const ROL::Vector< Real > & dual () const
 Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.
Public Member Functions inherited from ROL::StdVector< Real, Element >
 StdVector (const Ptr< std::vector< Element > > &std_vec)
 StdVector (const int dim, const Element val=0.0)
 StdVector (std::initializer_list< Element > ilist)
Real & operator[] (int i)
const Real & operator[] (int i) const
void set (const Vector< Real > &x)
void plus (const Vector< Real > &x)
void axpy (const Real alpha, const Vector< Real > &x)
void scale (const Real alpha)
 Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).
Real norm () const
 Returns \( \| y \| \) where \(y = \mathtt{*this}\).
Ptr< const std::vector< Element > > getVector () const
Ptr< std::vector< Element > > getVector ()
Ptr< Vector< Real > > basis (const int i) const
 Return i-th basis vector.
int dimension () const
 Return dimension of the vector space.
void applyUnary (const Elementwise::UnaryFunction< Real > &f)
void applyBinary (const Elementwise::BinaryFunction< Real > &f, const Vector< Real > &x)
Real reduce (const Elementwise::ReductionOp< Real > &r) const
void setScalar (const Real C)
 Set \(y \leftarrow C\) where \(C\in\mathbb{R}\).
void randomize (const Real l=0.0, const Real u=1.0)
 Set vector to be uniform random between [l,u].
virtual void print (std::ostream &outStream) const
Public Member Functions inherited from ROL::ROL::Vector< Real >
virtual ~Vector ()
virtual void plus (const Vector &x)=0
 Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).
virtual Real dot (const Vector &x) const =0
 Compute \( \langle y,x \rangle \) where \(y = \mathtt{*this}\).
virtual void axpy (const Real alpha, const Vector &x)
 Compute \(y \leftarrow \alpha x + y\) where \(y = \mathtt{*this}\).
virtual void zero ()
 Set to zero vector.
virtual void set (const Vector &x)
 Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).
virtual Real apply (const Vector< Real > &x) const
 Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).
virtual void applyBinary (const Elementwise::BinaryFunction< Real > &f, const Vector &x)
virtual std::vector< Real > checkVector (const Vector< Real > &x, const Vector< Real > &y, const bool printToStream=true, std::ostream &outStream=std::cout) const
 Verify vector-space methods.
Public Member Functions inherited from ROL::Vector< Real >
virtual ~Vector ()
virtual void axpy (const Real alpha, const Vector &x)
 Compute \(y \leftarrow \alpha x + y\) where \(y = \mathtt{*this}\).
virtual void zero ()
 Set to zero vector.
virtual void applyUnary (const Elementwise::UnaryFunction< Real > &f)
virtual void applyBinary (const Elementwise::BinaryFunction< Real > &f, const Vector &x)
virtual Real reduce (const Elementwise::ReductionOp< Real > &r) const
virtual void print (std::ostream &outStream) const
virtual void setScalar (const Real C)
 Set \(y \leftarrow C\) where \(C\in\mathbb{R}\).
virtual void randomize (const Real l=0.0, const Real u=1.0)
 Set vector to be uniform random between [l,u].
virtual std::vector< Real > checkVector (const Vector< Real > &x, const Vector< Real > &y, const bool printToStream=true, std::ostream &outStream=std::cout) const
 Verify vector-space methods.

Private Attributes

ROL::Ptr< BurgersFEM< Real > > fem_
ROL::Ptr< H1VectorDual< Real > > dual_vec_
bool isDualInitialized_
ROL::Ptr< std::vector< Real > > vec_

Detailed Description

template<class Real>
class H1VectorPrimal< Real >

Definition at line 578 of file example_08.hpp.

Constructor & Destructor Documentation

◆ H1VectorPrimal() [1/5]

template<class Real>
H1VectorPrimal< Real >::H1VectorPrimal ( const ROL::Ptr< std::vector< Real > > & vec,
const ROL::Ptr< BurgersFEM< Real > > & fem )
inline

Definition at line 592 of file test_04.hpp.

◆ H1VectorPrimal() [2/5]

template<class Real>
H1VectorPrimal< Real >::H1VectorPrimal ( const ROL::Ptr< std::vector< Real > > & vec,
const ROL::Ptr< BurgersFEM< Real > > & fem )
inline

Definition at line 680 of file example_04.hpp.

◆ H1VectorPrimal() [3/5]

template<class Real>
H1VectorPrimal< Real >::H1VectorPrimal ( const ROL::Ptr< std::vector< Real > > & vec,
const ROL::Ptr< BurgersFEM< Real > > & fem )
inline

Definition at line 684 of file example_06.hpp.

◆ H1VectorPrimal() [4/5]

template<class Real>
H1VectorPrimal< Real >::H1VectorPrimal ( const ROL::Ptr< std::vector< Real > > & vec,
const ROL::Ptr< BurgersFEM< Real > > & fem )
inline

Definition at line 688 of file example_07.hpp.

◆ H1VectorPrimal() [5/5]

template<class Real>
H1VectorPrimal< Real >::H1VectorPrimal ( const ROL::Ptr< std::vector< Real > > & vec,
const ROL::Ptr< BurgersFEM< Real > > & fem )
inline

Definition at line 585 of file example_08.hpp.

Member Function Documentation

◆ dot() [1/5]

template<class Real>
Real H1VectorPrimal< Real >::dot ( const ROL::Vector< Real > & x) const
inlineoverridevirtual

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 597 of file test_04.hpp.

Referenced by H1VectorPrimal< RealT >::norm().

◆ clone() [1/5]

template<class Real>
ROL::Ptr< ROL::Vector< Real > > H1VectorPrimal< Real >::clone ( ) const
inlineoverridevirtual

Clone to make a new (uninitialized) vector.

  @return         A reference-counted pointer to the cloned vector.

  Provides the means of allocating temporary memory in ROL.

  ---             

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 604 of file test_04.hpp.

◆ dual() [1/5]

template<class Real>
const ROL::Vector< Real > & H1VectorPrimal< Real >::dual ( void ) const
inlineoverridevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns
A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.


Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 610 of file test_04.hpp.

◆ set() [1/3]

template<class Real>
void H1VectorPrimal< Real >::set ( const ROL::Vector< Real > & x)
inlinevirtual

Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).

  @param[in]      x     is a vector.

  On return \f$\mathtt{*this} = x\f$.
  Uses #zero and #plus methods for the computation.
  Please overload if a more efficient implementation is needed.

  ---

Reimplemented from ROL::Vector< Real >.

Definition at line 684 of file example_04.hpp.

◆ plus() [1/3]

template<class Real>
void H1VectorPrimal< Real >::plus ( const ROL::Vector< Real > & x)
inlinevirtual

Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).

  @param[in]      x  is the vector to be added to \f$\mathtt{*this}\f$.

  On return \f$\mathtt{*this} = \mathtt{*this} + x\f$.

  ---

Implements ROL::Vector< Real >.

Definition at line 690 of file example_04.hpp.

◆ scale() [1/3]

template<class Real>
void H1VectorPrimal< Real >::scale ( const Real alpha)
inlinevirtual

Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).

  @param[in]      alpha is the scaling of \f$\mathtt{*this}\f$.

  On return \f$\mathtt{*this} = \alpha (\mathtt{*this}) \f$.

  ---

Implements ROL::ROL::Vector< Real >.

Definition at line 699 of file example_04.hpp.

◆ dot() [2/5]

template<class Real>
Real H1VectorPrimal< Real >::dot ( const ROL::Vector< Real > & x) const
inlinevirtual

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 706 of file example_04.hpp.

◆ norm() [1/3]

template<class Real>
Real H1VectorPrimal< Real >::norm ( ) const
inlinevirtual

Returns \( \| y \| \) where \(y = \mathtt{*this}\).

  @return         A nonnegative number equal to the norm of \f$\mathtt{*this}\f$.

  ---

Implements ROL::ROL::Vector< Real >.

Definition at line 712 of file example_04.hpp.

◆ clone() [2/5]

template<class Real>
ROL::Ptr< ROL::Vector< Real > > H1VectorPrimal< Real >::clone ( ) const
inlinevirtual

Clone to make a new (uninitialized) vector.

  @return         A reference-counted pointer to the cloned vector.

  Provides the means of allocating temporary memory in ROL.

  ---             

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 718 of file example_04.hpp.

◆ getVector() [1/6]

template<class Real>
ROL::Ptr< const std::vector< Real > > H1VectorPrimal< Real >::getVector ( ) const
inline

◆ getVector() [2/6]

template<class Real>
ROL::Ptr< std::vector< Real > > H1VectorPrimal< Real >::getVector ( )
inline

Definition at line 726 of file example_04.hpp.

◆ basis() [1/3]

template<class Real>
ROL::Ptr< ROL::Vector< Real > > H1VectorPrimal< Real >::basis ( const int i) const
inlinevirtual

Return i-th basis vector.

  @param[in] i is the index of the basis function.
  @return A reference-counted pointer to the basis vector with index @b i.

  Overloading the basis is only required if the default gradient implementation
  is used, which computes a finite-difference approximation.

  ---

Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 730 of file example_04.hpp.

◆ dimension() [1/3]

template<class Real>
int H1VectorPrimal< Real >::dimension ( void ) const
inlinevirtual

Return dimension of the vector space.

  @return The dimension of the vector space, i.e., the total number of basis vectors.

  Overload if the basis is overloaded.

  ---

Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 737 of file example_04.hpp.

◆ dual() [2/5]

template<class Real>
const ROL::Vector< Real > & H1VectorPrimal< Real >::dual ( void ) const
inlinevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns
A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.


Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 741 of file example_04.hpp.

◆ apply() [1/3]

template<class Real>
Real H1VectorPrimal< Real >::apply ( const ROL::Vector< Real > & x) const
inlinevirtual

Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).

Parameters
[in]xis a vector
Returns
The number equal to \(\langle \mathtt{*this}, x \rangle\).

Reimplemented from ROL::Vector< Real >.

Definition at line 749 of file example_04.hpp.

◆ set() [2/3]

template<class Real>
void H1VectorPrimal< Real >::set ( const ROL::Vector< Real > & x)
inlinevirtual

Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).

  @param[in]      x     is a vector.

  On return \f$\mathtt{*this} = x\f$.
  Uses #zero and #plus methods for the computation.
  Please overload if a more efficient implementation is needed.

  ---

Reimplemented from ROL::Vector< Real >.

Definition at line 688 of file example_06.hpp.

◆ plus() [2/3]

template<class Real>
void H1VectorPrimal< Real >::plus ( const ROL::Vector< Real > & x)
inlinevirtual

Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).

  @param[in]      x  is the vector to be added to \f$\mathtt{*this}\f$.

  On return \f$\mathtt{*this} = \mathtt{*this} + x\f$.

  ---

Implements ROL::Vector< Real >.

Definition at line 694 of file example_06.hpp.

◆ scale() [2/3]

template<class Real>
void H1VectorPrimal< Real >::scale ( const Real alpha)
inlinevirtual

Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).

  @param[in]      alpha is the scaling of \f$\mathtt{*this}\f$.

  On return \f$\mathtt{*this} = \alpha (\mathtt{*this}) \f$.

  ---

Implements ROL::ROL::Vector< Real >.

Definition at line 703 of file example_06.hpp.

◆ dot() [3/5]

template<class Real>
Real H1VectorPrimal< Real >::dot ( const ROL::Vector< Real > & x) const
inlinevirtual

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 710 of file example_06.hpp.

◆ norm() [2/3]

template<class Real>
Real H1VectorPrimal< Real >::norm ( ) const
inlinevirtual

Returns \( \| y \| \) where \(y = \mathtt{*this}\).

  @return         A nonnegative number equal to the norm of \f$\mathtt{*this}\f$.

  ---

Implements ROL::ROL::Vector< Real >.

Definition at line 716 of file example_06.hpp.

◆ clone() [3/5]

template<class Real>
ROL::Ptr< ROL::Vector< Real > > H1VectorPrimal< Real >::clone ( ) const
inlinevirtual

Clone to make a new (uninitialized) vector.

  @return         A reference-counted pointer to the cloned vector.

  Provides the means of allocating temporary memory in ROL.

  ---             

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 722 of file example_06.hpp.

◆ getVector() [3/6]

template<class Real>
ROL::Ptr< const std::vector< Real > > H1VectorPrimal< Real >::getVector ( ) const
inline

Definition at line 726 of file example_06.hpp.

◆ getVector() [4/6]

template<class Real>
ROL::Ptr< std::vector< Real > > H1VectorPrimal< Real >::getVector ( )
inline

Definition at line 730 of file example_06.hpp.

◆ basis() [2/3]

template<class Real>
ROL::Ptr< ROL::Vector< Real > > H1VectorPrimal< Real >::basis ( const int i) const
inlinevirtual

Return i-th basis vector.

  @param[in] i is the index of the basis function.
  @return A reference-counted pointer to the basis vector with index @b i.

  Overloading the basis is only required if the default gradient implementation
  is used, which computes a finite-difference approximation.

  ---

Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 734 of file example_06.hpp.

◆ dimension() [2/3]

template<class Real>
int H1VectorPrimal< Real >::dimension ( void ) const
inlinevirtual

Return dimension of the vector space.

  @return The dimension of the vector space, i.e., the total number of basis vectors.

  Overload if the basis is overloaded.

  ---

Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 741 of file example_06.hpp.

◆ dual() [3/5]

template<class Real>
const ROL::Vector< Real > & H1VectorPrimal< Real >::dual ( void ) const
inlinevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns
A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.


Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 745 of file example_06.hpp.

◆ apply() [2/3]

template<class Real>
Real H1VectorPrimal< Real >::apply ( const ROL::Vector< Real > & x) const
inlinevirtual

Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).

Parameters
[in]xis a vector
Returns
The number equal to \(\langle \mathtt{*this}, x \rangle\).

Reimplemented from ROL::Vector< Real >.

Definition at line 753 of file example_06.hpp.

◆ set() [3/3]

template<class Real>
void H1VectorPrimal< Real >::set ( const ROL::Vector< Real > & x)
inlinevirtual

Set \(y \leftarrow x\) where \(y = \mathtt{*this}\).

  @param[in]      x     is a vector.

  On return \f$\mathtt{*this} = x\f$.
  Uses #zero and #plus methods for the computation.
  Please overload if a more efficient implementation is needed.

  ---

Reimplemented from ROL::Vector< Real >.

Definition at line 692 of file example_07.hpp.

◆ plus() [3/3]

template<class Real>
void H1VectorPrimal< Real >::plus ( const ROL::Vector< Real > & x)
inlinevirtual

Compute \(y \leftarrow y + x\), where \(y = \mathtt{*this}\).

  @param[in]      x  is the vector to be added to \f$\mathtt{*this}\f$.

  On return \f$\mathtt{*this} = \mathtt{*this} + x\f$.

  ---

Implements ROL::Vector< Real >.

Definition at line 698 of file example_07.hpp.

◆ scale() [3/3]

template<class Real>
void H1VectorPrimal< Real >::scale ( const Real alpha)
inlinevirtual

Compute \(y \leftarrow \alpha y\) where \(y = \mathtt{*this}\).

  @param[in]      alpha is the scaling of \f$\mathtt{*this}\f$.

  On return \f$\mathtt{*this} = \alpha (\mathtt{*this}) \f$.

  ---

Implements ROL::ROL::Vector< Real >.

Definition at line 707 of file example_07.hpp.

◆ dot() [4/5]

template<class Real>
Real H1VectorPrimal< Real >::dot ( const ROL::Vector< Real > & x) const
inlinevirtual

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 714 of file example_07.hpp.

◆ norm() [3/3]

template<class Real>
Real H1VectorPrimal< Real >::norm ( ) const
inlinevirtual

Returns \( \| y \| \) where \(y = \mathtt{*this}\).

  @return         A nonnegative number equal to the norm of \f$\mathtt{*this}\f$.

  ---

Implements ROL::ROL::Vector< Real >.

Definition at line 720 of file example_07.hpp.

◆ clone() [4/5]

template<class Real>
ROL::Ptr< ROL::Vector< Real > > H1VectorPrimal< Real >::clone ( ) const
inlinevirtual

Clone to make a new (uninitialized) vector.

  @return         A reference-counted pointer to the cloned vector.

  Provides the means of allocating temporary memory in ROL.

  ---             

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 726 of file example_07.hpp.

◆ getVector() [5/6]

template<class Real>
ROL::Ptr< const std::vector< Real > > H1VectorPrimal< Real >::getVector ( ) const
inline

Definition at line 730 of file example_07.hpp.

◆ getVector() [6/6]

template<class Real>
ROL::Ptr< std::vector< Real > > H1VectorPrimal< Real >::getVector ( )
inline

Definition at line 734 of file example_07.hpp.

◆ basis() [3/3]

template<class Real>
ROL::Ptr< ROL::Vector< Real > > H1VectorPrimal< Real >::basis ( const int i) const
inlinevirtual

Return i-th basis vector.

  @param[in] i is the index of the basis function.
  @return A reference-counted pointer to the basis vector with index @b i.

  Overloading the basis is only required if the default gradient implementation
  is used, which computes a finite-difference approximation.

  ---

Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 738 of file example_07.hpp.

◆ dimension() [3/3]

template<class Real>
int H1VectorPrimal< Real >::dimension ( void ) const
inlinevirtual

Return dimension of the vector space.

  @return The dimension of the vector space, i.e., the total number of basis vectors.

  Overload if the basis is overloaded.

  ---

Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 745 of file example_07.hpp.

◆ dual() [4/5]

template<class Real>
const ROL::Vector< Real > & H1VectorPrimal< Real >::dual ( void ) const
inlinevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns
A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.


Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 749 of file example_07.hpp.

◆ apply() [3/3]

template<class Real>
Real H1VectorPrimal< Real >::apply ( const ROL::Vector< Real > & x) const
inlinevirtual

Apply \(\mathtt{*this}\) to a dual vector. This is equivalent to the call \(\mathtt{this->dot(x.dual())}\).

Parameters
[in]xis a vector
Returns
The number equal to \(\langle \mathtt{*this}, x \rangle\).

Reimplemented from ROL::Vector< Real >.

Definition at line 757 of file example_07.hpp.

◆ dot() [5/5]

template<class Real>
Real H1VectorPrimal< Real >::dot ( const ROL::Vector< Real > & x) const
inlinevirtual

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 590 of file example_08.hpp.

◆ clone() [5/5]

template<class Real>
ROL::Ptr< ROL::Vector< Real > > H1VectorPrimal< Real >::clone ( ) const
inlinevirtual

Clone to make a new (uninitialized) vector.

  @return         A reference-counted pointer to the cloned vector.

  Provides the means of allocating temporary memory in ROL.

  ---             

Reimplemented from ROL::StdVector< Real, Element >.

Definition at line 597 of file example_08.hpp.

◆ dual() [5/5]

template<class Real>
const ROL::Vector< Real > & H1VectorPrimal< Real >::dual ( void ) const
inlinevirtual

Return dual representation of \(\mathtt{*this}\), for example, the result of applying a Riesz map, or change of basis, or change of memory layout.

Returns
A const reference to dual representation.

By default, returns the current object. Please overload if you need a dual representation.


Reimplemented from ROL::ROL::Vector< Real >.

Definition at line 602 of file example_08.hpp.

Member Data Documentation

◆ fem_

template<class Real>
ROL::Ptr< BurgersFEM< Real > > H1VectorPrimal< Real >::fem_
private

Definition at line 587 of file test_04.hpp.

◆ dual_vec_

template<class Real>
ROL::Ptr< H1VectorDual< Real > > H1VectorPrimal< Real >::dual_vec_
mutableprivate

Definition at line 588 of file test_04.hpp.

◆ isDualInitialized_

template<class Real>
bool H1VectorPrimal< Real >::isDualInitialized_
mutableprivate

Definition at line 589 of file test_04.hpp.

◆ vec_

template<class Real>
ROL::Ptr< std::vector< Real > > H1VectorPrimal< Real >::vec_
private

Definition at line 674 of file example_04.hpp.


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