Sundance::RefIntegral Class Reference

Inheritance diagram for Sundance::RefIntegral:

Sundance::ElementIntegral

List of all members.

Public Member Functions

 RefIntegral (int spatialDim, const CellType &maxCellType, int dim, const CellType &cellType, const QuadratureFamily &quad_in, bool isInternalBdry, const ParametrizedCurve &globalCurve, const Mesh &mesh, int verb)
 RefIntegral (int spatialDim, const CellType &maxCellType, int dim, const CellType &cellType, const BasisFamily &testBasis, int alpha, int testDerivOrder, const QuadratureFamily &quad_in, bool isInternalBdry, const ParametrizedCurve &globalCurve, const Mesh &mesh, int verb)
 RefIntegral (int spatialDim, const CellType &maxCellType, int dim, const CellType &cellType, const BasisFamily &testBasis, int alpha, int testDerivOrder, const BasisFamily &unkBasis, int beta, int unkDerivOrder, const QuadratureFamily &quad_in, bool isInternalBdry, const ParametrizedCurve &globalCurve, const Mesh &mesh, int verb)
virtual ~RefIntegral ()
void print (std::ostream &os) const
void transform (const CellJacobianBatch &JTrans, const CellJacobianBatch &JVol, const Array< int > &isLocalFlag, const Array< int > &facetNum, const RCP< Array< int > > &cellLIDs, const double &coeff, RCP< Array< double > > &A) const
void transformTwoForm (const CellJacobianBatch &JTrans, const CellJacobianBatch &JVol, const Array< int > &facetNum, const RCP< Array< int > > &cellLIDs, const double &coeff, RCP< Array< double > > &A) const
void transformOneForm (const CellJacobianBatch &JTrans, const CellJacobianBatch &JVol, const Array< int > &facetNum, const RCP< Array< int > > &cellLIDs, const double &coeff, RCP< Array< double > > &A) const
void transformZeroForm (const CellJacobianBatch &JVol, const Array< int > &isLocalFlag, const RCP< Array< int > > &cellLIDs, const double &coeff, RCP< Array< double > > &A) const
double & value (int facetCase, int testDerivDir, int testNode, int unkDerivDir, int unkNode)
const double & value (int facetCase, int testDerivDir, int testNode, int unkDerivDir, int unkNode) const
double & value (int facetCase, int testDerivDir, int testNode)
const double & value (int facetCase, int testDerivDir, int testNode) const

Static Public Member Functions

static double & totalFlops ()

Static Protected Member Functions

static void addFlops (const double &flops)

Private Attributes

Array< Array< double > > W_
Array< Array< Array< Array
< double > > > > 		W_ACI_F1_
Array< Array< Array< Array
< Array< Array< double > > > > > > 		W_ACI_F2_
QuadratureFamily quad_
Array< Point > quadPts_
Array< double > quadWeights_

Detailed Description

RefIntegral represents the integrals of a product of basis functions (or their derivatives) over a reference cell. This object can be created once and for all up front, and then reused to produce the integrals of constant-coefficient weak forms over simplicial cells by means of a linear transformation.

An instance of this object can represent either a one form,

\[ W_{i\gamma} = \int_{T_R} D_\gamma \psi_i \]

or a two form,

\[ W_{(ij)(\gamma\delta)} = \int_{T_R} D_\gamma \psi_i D_\delta \phi_j. \]

In the notation for the two form, we have grouped together the index pairs $(ij)$ and $(\gamma\delta)$ to indicate that we will think of this 4-tensor as a 2D array, with $(ij)$ combinations running down rows and $(\gamma\delta)$ running across columns. We will consider the node number combination $(ij)$ to be a single index $k$, and $(\gamma\delta)$ to be a single index $\epsilon$. Thus, the storage and use of one-forms and two-forms is essentially identical.

This object's job in life is to be multiplied with a transformation matrix $T_{\epsilon c}$to produce an array of local element matrices $A_{kc}$,

\[ A_{kc} = W_{k\epsilon} T_{\epsilon c} \]

The index $c$ is over cells (cells are processed in batches).

Physical storage is as a 1D vector stored in colum-major order.

Definition at line 77 of file SundanceRefIntegral.hpp.

Constructor & Destructor Documentation

RefIntegral::RefIntegral ( int  spatialDim,
const CellType &  maxCellType,
int  dim,
const CellType &  cellType,
const QuadratureFamily &  quad_in,
bool  isInternalBdry,
const ParametrizedCurve &  globalCurve,
const Mesh &  mesh,
int  verb 
)

Construct a reference zero-form

Definition at line 81 of file SundanceRefIntegral.cpp.

References Sundance::ElementIntegral::describe(), Sundance::QuadratureFamily::getPoints(), Sundance::QuadratureFamily::order(), Playa::Out::os(), quad_, quadWeights_, Sundance::ElementIntegral::setupVerb(), SUNDANCE_MSG1, and W_.

RefIntegral::RefIntegral ( int  spatialDim,
const CellType &  maxCellType,
int  dim,
const CellType &  cellType,
const BasisFamily &  testBasis,
int  alpha,
int  testDerivOrder,
const QuadratureFamily &  quad_in,
bool  isInternalBdry,
const ParametrizedCurve &  globalCurve,
const Mesh &  mesh,
int  verb 
)

Construct a reference one-form

Definition at line 126 of file SundanceRefIntegral.cpp.

References addFlops(), Sundance::ElementIntegral::assertLinearForm(), Sundance::ElementIntegral::chop(), Sundance::QuadratureType::createQuadFamily(), Sundance::ElementIntegral::describe(), Sundance::BasisFamily::dim(), Sundance::ElementIntegral::evalCellType(), Sundance::QuadratureType::findValidOrder(), Sundance::ElementIntegral::getQuad(), Playa::max(), Sundance::ElementIntegral::nFacetCases(), Sundance::ElementIntegral::nNodesTest(), Sundance::ElementIntegral::nRefDerivTest(), Sundance::QuadratureFamily::order(), Sundance::BasisFamily::order(), Playa::Out::os(), quad_, quadPts_, quadWeights_, Sundance::BasisFamily::refEval(), Sundance::ElementIntegral::setupVerb(), SUNDANCE_MSG1, SUNDANCE_MSG2, SUNDANCE_MSG4, value(), W_, and W_ACI_F1_.

RefIntegral::RefIntegral ( int  spatialDim,
const CellType &  maxCellType,
int  dim,
const CellType &  cellType,
const BasisFamily &  testBasis,
int  alpha,
int  testDerivOrder,
const BasisFamily &  unkBasis,
int  beta,
int  unkDerivOrder,
const QuadratureFamily &  quad_in,
bool  isInternalBdry,
const ParametrizedCurve &  globalCurve,
const Mesh &  mesh,
int  verb 
)

Construct a reference two-form

Definition at line 271 of file SundanceRefIntegral.cpp.

References addFlops(), Sundance::ElementIntegral::assertBilinearForm(), Sundance::ElementIntegral::chop(), Sundance::QuadratureType::createQuadFamily(), Sundance::ElementIntegral::describe(), Sundance::BasisFamily::dim(), Sundance::ElementIntegral::evalCellType(), Sundance::QuadratureType::findValidOrder(), Sundance::ElementIntegral::getQuad(), Playa::max(), Sundance::ElementIntegral::nFacetCases(), Sundance::ElementIntegral::nNodesTest(), Sundance::ElementIntegral::nNodesUnk(), Sundance::ElementIntegral::nRefDerivTest(), Sundance::ElementIntegral::nRefDerivUnk(), Sundance::QuadratureFamily::order(), Sundance::BasisFamily::order(), Playa::Out::os(), quad_, quadPts_, quadWeights_, Sundance::BasisFamily::refEval(), Sundance::ElementIntegral::setupVerb(), SUNDANCE_MSG1, SUNDANCE_MSG2, SUNDANCE_MSG4, value(), W_, and W_ACI_F2_.

virtual Sundance::RefIntegral::~RefIntegral (  )  [inline, virtual]

virtual dtor

Definition at line 123 of file SundanceRefIntegral.hpp.

Member Function Documentation

static void Sundance::RefIntegral::addFlops ( const double &  flops  )  [inline, static, protected]

Reimplemented from Sundance::ElementIntegral.

Definition at line 195 of file SundanceRefIntegral.hpp.

References totalFlops().

Referenced by RefIntegral(), transformOneForm(), transformTwoForm(), and transformZeroForm().

void Sundance::RefIntegral::print ( std::ostream &  os  )  const

static double& Sundance::RefIntegral::totalFlops (  )  [inline, static]

Reimplemented from Sundance::ElementIntegral.

Definition at line 191 of file SundanceRefIntegral.hpp.

Referenced by addFlops().

void Sundance::RefIntegral::transform ( const CellJacobianBatch &  JTrans,
const CellJacobianBatch &  JVol,
const Array< int > &  isLocalFlag,
const Array< int > &  facetNum,
const RCP< Array< int > > &  cellLIDs,
const double &  coeff,
RCP< Array< double > > &  A 
) const [inline]

Definition at line 129 of file SundanceRefIntegral.hpp.

References Sundance::ElementIntegral::order(), transformOneForm(), transformTwoForm(), and transformZeroForm().

Referenced by Sundance::IntegralGroup::evaluate().

void RefIntegral::transformOneForm ( const CellJacobianBatch &  JTrans,
const CellJacobianBatch &  JVol,
const Array< int > &  facetNum,
const RCP< Array< int > > &  cellLIDs,
const double &  coeff,
RCP< Array< double > > &  A 
) const

Definition at line 562 of file SundanceRefIntegral.cpp.

References addFlops(), Sundance::ElementIntegral::alpha(), Sundance::ElementIntegral::cellType(), Sundance::ElementIntegral::chop(), Sundance::ElementIntegral::createOneFormTransformationMatrix(), Sundance::CellJacobianBatch::detJ(), dgemm_(), Sundance::ElementIntegral::dim(), Sundance::ElementIntegral::G(), Sundance::QuadratureFamily::getAdaptedWeights(), Sundance::ElementIntegral::globalCurve(), Sundance::ElementIntegral::integrationVerb(), Sundance::ElementIntegral::mesh(), Sundance::ElementIntegral::nFacetCases(), Sundance::ElementIntegral::nNodes(), Sundance::ElementIntegral::nNodesTest(), Sundance::ElementIntegral::nRefDerivTest(), Sundance::CellJacobianBatch::numCells(), Sundance::ElementIntegral::order(), quad_, quadPts_, quadWeights_, ref1IntegrationTimer(), SUNDANCE_MSG1, SUNDANCE_MSG3, Sundance::ElementIntegral::testDerivOrder(), Sundance::ElementIntegral::transformVerb(), W_, and W_ACI_F1_.

Referenced by transform().

void RefIntegral::transformTwoForm ( const CellJacobianBatch &  JTrans,
const CellJacobianBatch &  JVol,
const Array< int > &  facetNum,
const RCP< Array< int > > &  cellLIDs,
const double &  coeff,
RCP< Array< double > > &  A 
) const

Definition at line 773 of file SundanceRefIntegral.cpp.

References addFlops(), Sundance::ElementIntegral::alpha(), Sundance::ElementIntegral::beta(), Sundance::ElementIntegral::cellType(), Sundance::ElementIntegral::chop(), Sundance::ElementIntegral::createTwoFormTransformationMatrix(), Sundance::CellJacobianBatch::detJ(), dgemm_(), Sundance::ElementIntegral::dim(), Sundance::ElementIntegral::G(), Sundance::QuadratureFamily::getAdaptedWeights(), Sundance::ElementIntegral::globalCurve(), Sundance::ElementIntegral::integrationVerb(), Sundance::ElementIntegral::mesh(), Sundance::ElementIntegral::nFacetCases(), Sundance::ElementIntegral::nNodes(), Sundance::ElementIntegral::nNodesTest(), Sundance::ElementIntegral::nNodesUnk(), Sundance::ElementIntegral::nRefDerivTest(), Sundance::ElementIntegral::nRefDerivUnk(), Sundance::CellJacobianBatch::numCells(), Sundance::ElementIntegral::order(), quad_, quadPts_, quadWeights_, ref2IntegrationTimer(), SUNDANCE_MSG1, SUNDANCE_MSG2, Sundance::ElementIntegral::testDerivOrder(), Sundance::ElementIntegral::transformVerb(), Sundance::ElementIntegral::unkDerivOrder(), W_, and W_ACI_F2_.

Referenced by transform().

void RefIntegral::transformZeroForm ( const CellJacobianBatch &  JVol,
const Array< int > &  isLocalFlag,
const RCP< Array< int > > &  cellLIDs,
const double &  coeff,
RCP< Array< double > > &  A 
) const

Definition at line 447 of file SundanceRefIntegral.cpp.

References addFlops(), Sundance::ElementIntegral::cellType(), Sundance::ElementIntegral::chop(), Sundance::CellJacobianBatch::detJ(), Sundance::ElementIntegral::dim(), Sundance::QuadratureFamily::getAdaptedWeights(), Sundance::ElementIntegral::globalCurve(), Sundance::ElementIntegral::integrationVerb(), Sundance::ElementIntegral::mesh(), Sundance::CellJacobianBatch::numCells(), Sundance::ElementIntegral::order(), quad_, quadPts_, quadWeights_, ref0IntegrationTimer(), SUNDANCE_MSG1, and W_.

Referenced by transform().

const double& Sundance::RefIntegral::value ( int  facetCase,
int  testDerivDir,
int  testNode 
) const [inline]

Definition at line 187 of file SundanceRefIntegral.hpp.

References Sundance::ElementIntegral::nNodesTest(), and W_.

double& Sundance::RefIntegral::value ( int  facetCase,
int  testDerivDir,
int  testNode 
) [inline]

Definition at line 183 of file SundanceRefIntegral.hpp.

References Sundance::ElementIntegral::nNodesTest(), and W_.

const double& Sundance::RefIntegral::value ( int  facetCase,
int  testDerivDir,
int  testNode,
int  unkDerivDir,
int  unkNode 
) const [inline]

Definition at line 173 of file SundanceRefIntegral.hpp.

References Sundance::ElementIntegral::nNodes(), Sundance::ElementIntegral::nNodesUnk(), Sundance::ElementIntegral::nRefDerivUnk(), and W_.

double& Sundance::RefIntegral::value ( int  facetCase,
int  testDerivDir,
int  testNode,
int  unkDerivDir,
int  unkNode 
) [inline]

Definition at line 166 of file SundanceRefIntegral.hpp.

References Sundance::ElementIntegral::nNodes(), Sundance::ElementIntegral::nNodesUnk(), Sundance::ElementIntegral::nRefDerivUnk(), and W_.

Referenced by RefIntegral().

Member Data Documentation

QuadratureFamily Sundance::RefIntegral::quad_ [private]

The quadrature family needed for special integration

Definition at line 210 of file SundanceRefIntegral.hpp.

Referenced by RefIntegral(), transformOneForm(), transformTwoForm(), and transformZeroForm().

Array<Point> Sundance::RefIntegral::quadPts_ [private]

The quadrature points

Definition at line 213 of file SundanceRefIntegral.hpp.

Referenced by RefIntegral(), transformOneForm(), transformTwoForm(), and transformZeroForm().

Array<double> Sundance::RefIntegral::quadWeights_ [private]

The standard weights (in case of ACI these might change)

Definition at line 216 of file SundanceRefIntegral.hpp.

Referenced by RefIntegral(), transformOneForm(), transformTwoForm(), and transformZeroForm().

Array<Array<double> > Sundance::RefIntegral::W_ [private]

Definition at line 199 of file SundanceRefIntegral.hpp.

Referenced by RefIntegral(), transformOneForm(), transformTwoForm(), transformZeroForm(), and value().

Array<Array<Array<Array<double> > > > Sundance::RefIntegral::W_ACI_F1_ [private]

For ACI (ACI = Adaptive Cell Integration), store the reference integral values for one form The indexes facet, quadPoints, nRefDerivTest , nNodesTest

Definition at line 203 of file SundanceRefIntegral.hpp.

Referenced by RefIntegral(), and transformOneForm().

Array<Array<Array<Array<Array<Array<double> > > > > > Sundance::RefIntegral::W_ACI_F2_ [private]

For ACI (ACI = Adaptive Cell Integration), store the reference integral values for two form The indexes facet, quadPoints, nRefDerivTest , nNodesTest , nRefDerivUnk , nNodesUnk

Definition at line 207 of file SundanceRefIntegral.hpp.

Referenced by RefIntegral(), and transformTwoForm().

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