Intrepid2
Intrepid2_ProjectionToolsDefHVOL.hpp
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49 #ifndef __INTREPID2_PROJECTIONTOOLSDEFHVOL_HPP__
50 #define __INTREPID2_PROJECTIONTOOLSDEFHVOL_HPP__
51 
53 #include "Intrepid2_ArrayTools.hpp"
55 
56 
57 namespace Intrepid2 {
58 namespace Experimental {
59 
60 template<typename DeviceType>
61 template<typename BasisType,
62 typename ortValueType, class ...ortProperties>
63 void
64 ProjectionTools<DeviceType>::getHVolEvaluationPoints(typename BasisType::ScalarViewType ePoints,
65  const Kokkos::DynRankView<ortValueType, ortProperties...> /*orts*/,
66  const BasisType* cellBasis,
68  const EvalPointsType ePointType) {
69  ordinal_type dim = cellBasis->getBaseCellTopology().getDimension();
70  auto refEPoints = Kokkos::create_mirror_view_and_copy(MemSpaceType(),projStruct->getEvalPoints(dim,0,ePointType));
71  auto ePointsRange = projStruct->getPointsRange(ePointType);
72  RealSpaceTools<DeviceType>::clone(Kokkos::subview(ePoints, Kokkos::ALL(), ePointsRange(dim, 0), Kokkos::ALL()), refEPoints);
73 }
74 
75 
76 template<typename DeviceType>
77 template<typename basisCoeffsValueType, class ...basisCoeffsProperties,
78 typename funValsValueType, class ...funValsProperties,
79 typename BasisType,
80 typename ortValueType,class ...ortProperties>
81 void
82 ProjectionTools<DeviceType>::getHVolBasisCoeffs(Kokkos::DynRankView<basisCoeffsValueType,basisCoeffsProperties...> basisCoeffs,
83  const Kokkos::DynRankView<funValsValueType,funValsProperties...> targetAtTargetEPoints,
84  const typename BasisType::ScalarViewType targetEPoints,
85  const Kokkos::DynRankView<ortValueType, ortProperties...> orts,
86  const BasisType* cellBasis,
88 
89  typedef typename BasisType::scalarType scalarType;
90  typedef Kokkos::DynRankView<scalarType,DeviceType> ScalarViewType;
91  ordinal_type dim = cellBasis->getBaseCellTopology().getDimension();
92 
93  ordinal_type basisCardinality = cellBasis->getCardinality();
94 
95  ordinal_type numCells = targetAtTargetEPoints.extent(0);
96 
97  auto refTargetEWeights = projStruct->getTargetEvalWeights(dim,0);
98  auto targetEPointsRange = projStruct->getTargetPointsRange();
99 
100  auto refBasisEWeights = projStruct->getBasisEvalWeights(dim,0);
101  auto basisEPointsRange = projStruct->getBasisPointsRange();
102 
103  ordinal_type numTargetEPoints = range_size(targetEPointsRange(dim,0));
104  ordinal_type numBasisEPoints = range_size(basisEPointsRange(dim,0));
105 
106  ScalarViewType basisAtBasisEPoints("basisAtBasisEPoints", 1, basisCardinality, numBasisEPoints);
107  ScalarViewType basisAtTargetEPoints("basisAtTargetEPoints", basisCardinality, numTargetEPoints);
108 
109  ScalarViewType basisEPoints("basisEPoints",numCells,projStruct->getNumBasisEvalPoints(), dim);
110  getHVolEvaluationPoints(basisEPoints, orts, cellBasis, projStruct, EvalPointsType::BASIS);
111 
112  cellBasis->getValues(Kokkos::subview(basisAtBasisEPoints, 0, Kokkos::ALL(), Kokkos::ALL()), Kokkos::subview(basisEPoints,0, Kokkos::ALL(), Kokkos::ALL()));
113  if(targetEPoints.rank()==3)
114  cellBasis->getValues(basisAtTargetEPoints, Kokkos::subview(targetEPoints, 0, Kokkos::ALL(), Kokkos::ALL()));
115  else
116  cellBasis->getValues(basisAtTargetEPoints, targetEPoints);
117 
118  ScalarViewType weightedBasisAtTargetEPoints("weightedBasisAtTargetEPoints_",numCells, basisCardinality, numTargetEPoints);
119  ScalarViewType weightedBasisAtBasisEPoints("weightedBasisAtBasisEPoints", 1, basisCardinality, numBasisEPoints);
120 
121  auto tagToOrdinal = Kokkos::create_mirror_view_and_copy(MemSpaceType(), cellBasis->getAllDofOrdinal());
122  auto cellDofs = Kokkos::subview(tagToOrdinal, dim, 0, Kokkos::ALL());
123 
124  ScalarViewType
125  massMat0("massMat0", 1, basisCardinality, basisCardinality),
126  massMat("massMat", numCells, basisCardinality, basisCardinality),
127  rhsMat("rhsMat", numCells, basisCardinality );
128 
129  ordinal_type offsetBasis = basisEPointsRange(dim,0).first;
130  ordinal_type offsetTarget = targetEPointsRange(dim,0).first;
131 
132  using HostSpaceType = typename Kokkos::Impl::is_space<DeviceType>::host_mirror_space::execution_space;
133  auto hWeightedBasisAtBasisEPoints = Kokkos::create_mirror_view(weightedBasisAtBasisEPoints);
134  auto hWeightedBasisAtTargetEPoints = Kokkos::create_mirror_view(weightedBasisAtTargetEPoints);
135  auto hBasisAtBasisEPoints = Kokkos::create_mirror_view_and_copy(HostSpaceType(), basisAtBasisEPoints);
136  auto hBasisAtTargetEPoints = Kokkos::create_mirror_view_and_copy(HostSpaceType(), basisAtTargetEPoints);
137 
138  for(ordinal_type j=0; j <basisCardinality; ++j) {
139  ordinal_type idof = cellBasis->getDofOrdinal(dim, 0, j);
140  for(ordinal_type iq=0; iq <ordinal_type(refBasisEWeights.extent(0)); ++iq)
141  hWeightedBasisAtBasisEPoints(0,j,iq) = hBasisAtBasisEPoints(0,idof,offsetBasis+iq) * refBasisEWeights(iq);
142  for(ordinal_type iq=0; iq <ordinal_type(refTargetEWeights.extent(0)); ++iq)
143  hWeightedBasisAtTargetEPoints(0,j,iq) = hBasisAtTargetEPoints(idof,offsetTarget+iq)* refTargetEWeights(iq);
144  }
145  Kokkos::deep_copy(weightedBasisAtBasisEPoints,hWeightedBasisAtBasisEPoints);
146  Kokkos::deep_copy(weightedBasisAtTargetEPoints,hWeightedBasisAtTargetEPoints);
147  FunctionSpaceTools<DeviceType >::integrate(massMat0, basisAtBasisEPoints, weightedBasisAtBasisEPoints);
148  RealSpaceTools<DeviceType>::clone(massMat, Kokkos::subview(massMat0,0,Kokkos::ALL(), Kokkos::ALL()));
149  RealSpaceTools<DeviceType>::clone(weightedBasisAtTargetEPoints, Kokkos::subview(weightedBasisAtTargetEPoints,0,Kokkos::ALL(), Kokkos::ALL()));
150  FunctionSpaceTools<DeviceType >::integrate(rhsMat, targetAtTargetEPoints, weightedBasisAtTargetEPoints);
151 
152  typedef Kokkos::DynRankView<scalarType, Kokkos::LayoutRight, DeviceType> WorkArrayViewType;
153  ScalarViewType t_("t",numCells, basisCardinality);
154  WorkArrayViewType w_("w",numCells,basisCardinality);
155 
156  ElemSystem cellSystem("cellSystem", true);
157  cellSystem.solve(basisCoeffs, massMat, rhsMat, t_, w_, cellDofs, basisCardinality);
158 }
159 
160 }
161 }
162 
163 #endif
164 
Header file for Intrepid2::ArrayTools class providing utilities for array operations.
Header file for the abstract base class Intrepid2::DefaultCubatureFactory.
Header file for the Intrepid2::FunctionSpaceTools class.
An helper class to compute the evaluation points and weights needed for performing projections.
ordinal_type getNumBasisEvalPoints()
Returns number of basis evaluation points.
const range_tag getBasisPointsRange() const
Returns the range tag of the basis evaluation points subcells.
const range_tag getTargetPointsRange() const
Returns the range of the target function evaluation points on subcells.
view_type getEvalPoints(const ordinal_type subCellDim, const ordinal_type subCellId, EvalPointsType type) const
Returns the basis/target evaluation points on a subcell.
view_type getBasisEvalWeights(const ordinal_type subCellDim, const ordinal_type subCellId)
Returns the basis evaluation weights on a subcell.
view_type getTargetEvalWeights(const ordinal_type subCellDim, const ordinal_type subCellId)
Returns the function evaluation weights on a subcell.
const range_tag getPointsRange(const EvalPointsType type) const
Returns the range tag of the basis/target evaluation points in subcells.
static void getHVolBasisCoeffs(Kokkos::DynRankView< basisCoeffsValueType, basisCoeffsProperties... > basisCoeffs, const Kokkos::DynRankView< funValsValueType, funValsProperties... > targetAtEvalPoints, const typename BasisType::ScalarViewType evaluationPoints, const Kokkos::DynRankView< ortValueType, ortProperties... > cellOrientations, const BasisType *cellBasis, ProjectionStruct< DeviceType, typename BasisType::scalarType > *projStruct)
Computes the basis coefficients of the HVol projection of the target function.
static void getHVolEvaluationPoints(typename BasisType::ScalarViewType evaluationPoints, const Kokkos::DynRankView< ortValueType, ortProperties... > cellOrientations, const BasisType *cellBasis, ProjectionStruct< DeviceType, typename BasisType::scalarType > *projStruct, const EvalPointsType evalPointType=EvalPointsType::TARGET)
Computes evaluation points for HVol projection.
static void integrate(Kokkos::DynRankView< outputValueValueType, outputValueProperties... > outputValues, const Kokkos::DynRankView< leftValueValueType, leftValueProperties... > leftValues, const Kokkos::DynRankView< rightValueValueType, rightValueProperties... > rightValues, const bool sumInto=false)
Contracts leftValues and rightValues arrays on the point and possibly space dimensions and stores the...
static void clone(Kokkos::DynRankView< outputValueType, outputProperties... > output, const Kokkos::DynRankView< inputValueType, inputProperties... > input)
Clone input array.
Class to solve a square system A x = b on each cell A is expected to be saddle a point (KKT) matrix o...
void solve(ViewType1 basisCoeffs, ViewType2 elemMat, ViewType2 elemRhs, ViewType2 tau, ViewType3 w, const ViewType4 elemDof, ordinal_type n, ordinal_type m=0)
Solve the system and returns the basis coefficients solve the system either using Kokkos Kernel QR or...