Builds general adaptive sparse grid rules (Gerstner and Griebel) using the 1D cubature rules in the Intrepid::CubatureLineSorted class.
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#include <Intrepid_AdaptiveSparseGrid.hpp>
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static Scalar | refine_grid (typename std::multimap< Scalar, std::vector< int > > &indexSet, UserVector &integralValue, AdaptiveSparseGridInterface< Scalar, UserVector > &problem_data) |
| Update adaptive sparse grid.
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static Scalar | refine_grid (typename std::multimap< Scalar, std::vector< int > > &activeIndex, std::set< std::vector< int > > &oldIndex, UserVector &integralValue, Scalar globalErrorIndicator, AdaptiveSparseGridInterface< Scalar, UserVector > &problem_data) |
| Update adaptive sparse grid.
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static Scalar | refine_grid (typename std::multimap< Scalar, std::vector< int > > &activeIndex, std::set< std::vector< int > > &oldIndex, UserVector &integralValue, CubatureTensorSorted< Scalar > &cubRule, Scalar globalErrorIndicator, AdaptiveSparseGridInterface< Scalar, UserVector > &problem_data) |
| Update adaptive sparse grid.
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static void | build_diffRule (CubatureTensorSorted< Scalar > &outRule, std::vector< int > index, AdaptiveSparseGridInterface< Scalar, UserVector > &problem_data) |
| Given an index, build the corresponding differential cubature rule.
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static void | build_diffRule (CubatureTensorSorted< Scalar > &outRule, std::vector< int > index, int dimension, std::vector< EIntrepidBurkardt > rule1D, std::vector< EIntrepidGrowth > growth1D, bool isNormalized) |
| Given an index, build the corresponding differential cubature rule.
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static bool | isAdmissible (std::vector< int > index, int direction, std::set< std::vector< int > > inOldIndex, AdaptiveSparseGridInterface< Scalar, UserVector > &problem_data) |
| Check admissibility of an index set, outputs true if admissible.
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static void | buildSparseGrid (CubatureTensorSorted< Scalar > &output, int dimension, int maxlevel, std::vector< EIntrepidBurkardt > rule1D, std::vector< EIntrepidGrowth > growth1D, bool isNormalized) |
| Build a classic isotropic sparse grid.
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template<class Scalar, class UserVector>
class Intrepid::AdaptiveSparseGrid< Scalar, UserVector >
Builds general adaptive sparse grid rules (Gerstner and Griebel) using the 1D cubature rules in the Intrepid::CubatureLineSorted class.
Definition at line 64 of file Intrepid_AdaptiveSparseGrid.hpp.
◆ build_diffRule() [1/2]
template<class Scalar , class UserVector >
Given an index, build the corresponding differential cubature rule.
- Parameters
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outRule | [out] - Cubature nodes/weights for differential rule. |
index | [in] - Multi-index of cubature levels. |
problem_data | [in] - User defined problem data. |
Definition at line 75 of file Intrepid_AdaptiveSparseGridDef.hpp.
◆ build_diffRule() [2/2]
template<class Scalar , class UserVector >
void Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::build_diffRule |
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CubatureTensorSorted< Scalar > & | outRule, |
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std::vector< int > | index, |
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int | dimension, |
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std::vector< EIntrepidBurkardt > | rule1D, |
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std::vector< EIntrepidGrowth > | growth1D, |
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bool | isNormalized ) |
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Given an index, build the corresponding differential cubature rule.
- Parameters
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outRule | [out] - Cubature nodes/weights for differential rule. |
index | [in] - Multi-index of cubature levels. |
dimension | [in] - Dimension of integration domain. |
rule1D | [in] - 1D cubature rule names. |
growth1D | [in] - 1D cubature growth rules. |
problem_data | [in] - User defined problem data. |
Definition at line 102 of file Intrepid_AdaptiveSparseGridDef.hpp.
◆ buildSparseGrid()
template<class Scalar , class UserVector >
void Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::buildSparseGrid |
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CubatureTensorSorted< Scalar > & | output, |
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int | dimension, |
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int | maxlevel, |
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std::vector< EIntrepidBurkardt > | rule1D, |
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std::vector< EIntrepidGrowth > | growth1D, |
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bool | isNormalized ) |
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Build a classic isotropic sparse grid.
- Parameters
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output | [out] - Cubature points/weights for sparse grid |
dimension | [in] - Dimension of integration domain, dimension = 2,3,4,5. |
maxlevel | [in] - Maximum level of sparse grid. |
rule1D | [in] - 1D cubature rule names. |
growth1D | [in] - 1D cubature growth rules. |
problem_data | [in] - User defined problem data. |
Definition at line 363 of file Intrepid_AdaptiveSparseGridDef.hpp.
◆ isAdmissible()
template<class Scalar , class UserVector >
Check admissibility of an index set, outputs true if admissible.
- Parameters
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index | [in] - Multi-index of cubature levels. |
direction | [in] - Search direction. |
inOldIndex | [in] - Input index set. |
problem_data | [in] - User defined problem data. |
Definition at line 52 of file Intrepid_AdaptiveSparseGridDef.hpp.
◆ refine_grid() [1/3]
template<class Scalar , class UserVector >
Update adaptive sparse grid.
- Parameters
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activeIndex | [in/out] - Active Indices |
oldIndex | [in/out] - Inactive Indices |
integralValue | [in/out] - Value of Integral |
cubRule | [in/out] - Sparse Grid Points and Weights |
globalErrorIndicator | [in/out] - Error Indicator |
problem_data | [in] - User defined problem data. |
Definition at line 280 of file Intrepid_AdaptiveSparseGridDef.hpp.
◆ refine_grid() [2/3]
template<class Scalar , class UserVector >
Scalar Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::refine_grid |
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typename std::multimap< Scalar, std::vector< int > > & | activeIndex, |
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std::set< std::vector< int > > & | oldIndex, |
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UserVector & | integralValue, |
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Scalar | globalErrorIndicator, |
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AdaptiveSparseGridInterface< Scalar, UserVector > & | problem_data ) |
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Update adaptive sparse grid.
- Parameters
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activeIndex | [in/out] - Active Indices |
oldIndex | [in/out] - Inactive Indices |
integralValue | [in/out] - Value of Integral |
globalErrorIndicator | [in/out] - Error Indicator |
problem_data | [in] - User defined problem data. |
Definition at line 201 of file Intrepid_AdaptiveSparseGridDef.hpp.
◆ refine_grid() [3/3]
template<class Scalar , class UserVector >
Update adaptive sparse grid.
- Parameters
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indexSet | [in/out] - Admissible set of multi-indices. |
integralValue | [in/out] - Value of integral. |
problem_data | [in] - User defined problem data. |
Definition at line 127 of file Intrepid_AdaptiveSparseGridDef.hpp.
The documentation for this class was generated from the following files: