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SG++-Doxygen-Documentation
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SG++-Doxygen-Documentation
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Implements the standard L 2 scalar product on linear grids (no boundaries) More...
#include <OperationLTwoDotProductLinear.hpp>
Public Member Functions | |
| OperationLTwoDotProductLinear (sgpp::base::GridStorage *storage) | |
| Constructor. More... | |
| virtual | ~OperationLTwoDotProductLinear () |
| Destructor. More... | |
 Public Member Functions inherited from sgpp::pde::StdUpDown | |
| virtual void | mult (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result) |
| starts the Multiplication with the matrix More... | |
| void | multParallelBuildingBlock (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result) |
| this functions provides the same functionality as the normal mult routine. More... | |
| StdUpDown (sgpp::base::GridStorage *storage) | |
| Constructor. More... | |
| virtual | ~StdUpDown () |
| Destructor. More... | |
| Public Member Functions inherited from sgpp::base::OperationMatrix | |
| OperationMatrix () | |
| Constructor. More... | |
| virtual | ~OperationMatrix () |
| Destructor. More... | |
Protected Member Functions | |
| virtual void | down (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim) |
| Down-step in dimension dim for \((\phi_i(x),\phi_j(x))_{L_2}\). More... | |
| virtual void | up (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim) |
| Up-step in dimension dim for \((\phi_i(x),\phi_j(x))_{L_2}\). More... | |
| Protected Member Functions inherited from sgpp::pde::StdUpDown | |
| void | updown (sgpp::base::DataVector &alpha, sgpp::base::DataVector &result, size_t dim) |
| Recursive procedure for updown. More... | |
Additional Inherited Members | |
| Protected Types inherited from sgpp::pde::StdUpDown | |
| typedef sgpp::base::GridStorage::grid_iterator | grid_iterator |
| Protected Attributes inherited from sgpp::pde::StdUpDown | |
| const std::vector< size_t > | algoDims |
| algorithmic dimensions, operator is applied in this dimensions More... | |
| const size_t | numAlgoDims_ |
| number of algorithmic dimensions More... | |
| sgpp::base::GridStorage * | storage |
| Pointer to the grid's storage object. More... | |
| Static Protected Attributes inherited from sgpp::pde::StdUpDown | |
| static const size_t | maxParallelDims_ = TASKS_PARALLEL_UPDOWN |
| max number of parallel stages (dimension recursive calls) More... | |
Implements the standard L 2 scalar product on linear grids (no boundaries)
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explicit |
Constructor.
| storage | the grid's sgpp::base::GridStorage object |
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virtual |
Destructor.
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protectedvirtual |
Down-step in dimension dim for \((\phi_i(x),\phi_j(x))_{L_2}\).
Applies the down-part of the one-dimensional mass matrix in one dimension. Computes
\[\int_{x=0}^1 \phi_i(x) \sum_{j, l_i\geq l_j} \alpha_j \phi_j(x) dx.\]
| dim | dimension in which to apply the down-part |
| alpha | vector of coefficients |
| result | vector to store the results in |
Implements sgpp::pde::StdUpDown.
References create_scripts::s, sgpp::pde::StdUpDown::storage, and sgpp::base::sweep< FUNC >::sweep1D().
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protectedvirtual |
Up-step in dimension dim for \((\phi_i(x),\phi_j(x))_{L_2}\).
Applies the up-part of the one-dimensional mass matrix in one dimension. Computes
\[\int_{x=0}^1 \phi_i(x) \sum_{j, l_i < l_j} \alpha_j \phi_j(x) dx.\]
| dim | dimension in which to apply the up-part |
| alpha | vector of coefficients |
| result | vector to store the results in |
Implements sgpp::pde::StdUpDown.
References create_scripts::s, sgpp::pde::StdUpDown::storage, and sgpp::base::sweep< FUNC >::sweep1D().
1.8.13