Intrepid::AdaptiveSparseGrid< Scalar, UserVector > Class Template Reference

Builds general adaptive sparse grid rules (Gerstner and Griebel) using the 1D cubature rules in the Intrepid::CubatureLineSorted class. More...

#include <Intrepid_AdaptiveSparseGrid.hpp>

Static Public Member Functions
static Scalar	refine_grid (typename std::multimap< Scalar, std::vector< int > > &indexSet, UserVector &integralValue, AdaptiveSparseGridInterface< Scalar, UserVector > &problem_data)
	Update adaptive sparse grid. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...

Detailed Description

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.

Member Function Documentation

template<class Scalar , class UserVector >

void Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::build_diffRule ( CubatureTensorSorted< Scalar > &  outRule, std::vector< int >  index, AdaptiveSparseGridInterface< Scalar, UserVector > &  problem_data  )

static

Given an index, build the corresponding differential cubature rule.

Parameters

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.

References Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getDimension(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getGrowth(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getRule(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::isNormalized(), and Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::update().

template<class Scalar , class UserVector >

void Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::build_diffRule ( CubatureTensorSorted< Scalar > &  outRule, std::vector< int >  index, int  dimension, std::vector< EIntrepidBurkardt >  rule1D, std::vector< EIntrepidGrowth >  growth1D, bool  isNormalized  )

static

Given an index, build the corresponding differential cubature rule.

Parameters

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.

References Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::update().

template<class Scalar , class UserVector >

void Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::buildSparseGrid ( CubatureTensorSorted< Scalar > &  output, int  dimension, int  maxlevel, std::vector< EIntrepidBurkardt >  rule1D, std::vector< EIntrepidGrowth >  growth1D, bool  isNormalized  )

static

Build a classic isotropic sparse grid.

Parameters

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.

References Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::update().

template<class Scalar , class UserVector >

bool Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::isAdmissible ( std::vector< int >  index, int  direction, std::set< std::vector< int > >  inOldIndex, AdaptiveSparseGridInterface< Scalar, UserVector > &  problem_data  )

static

Check admissibility of an index set, outputs true if admissible.

Parameters

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.

References Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getDimension().

template<class Scalar , class UserVector >

Scalar Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::refine_grid ( typename std::multimap< Scalar, std::vector< int > > &  indexSet, UserVector &  integralValue, AdaptiveSparseGridInterface< Scalar, UserVector > &  problem_data  )

static

Update adaptive sparse grid.

Parameters

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.

References Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::error_indicator(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::eval_cubature(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getDimension(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getGrowth(), and Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getRule().

template<class Scalar , class UserVector >

Scalar Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::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  )

static

Update adaptive sparse grid.

Parameters

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.

References Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::error_indicator(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::eval_cubature(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getDimension(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getGrowth(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getRule(), and Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::max_level().

template<class Scalar , class UserVector >

Scalar Intrepid::AdaptiveSparseGrid< Scalar, UserVector >::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  )

static

Update adaptive sparse grid.

Parameters

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.

References Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::error_indicator(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::eval_cubature(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getDimension(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getGrowth(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::getRule(), Intrepid::AdaptiveSparseGridInterface< Scalar, UserVector >::max_level(), and Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::update().

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

• http://docs.trilinos.org/r12.18/packages/intrepid/src/Discretization/Integration/Intrepid_AdaptiveSparseGrid.hpp
• http://docs.trilinos.org/r12.18/packages/intrepid/src/Discretization/Integration/Intrepid_AdaptiveSparseGridDef.hpp