dune-pdelab 2.8
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gridfunctionspaceutilities.hh
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1// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2// vi: set et ts=4 sw=2 sts=2:
3#ifndef DUNE_PDELAB_GRIDFUNCTIONSPACE_GRIDFUNCTIONSPACEUTILITIES_HH
4#define DUNE_PDELAB_GRIDFUNCTIONSPACE_GRIDFUNCTIONSPACEUTILITIES_HH
5
6#include <cstdlib>
7#include<vector>
8
9#include<dune/common/exceptions.hh>
10#include<dune/common/fvector.hh>
11#include<dune/common/shared_ptr.hh>
12
13#include <dune/localfunctions/common/interfaceswitch.hh>
14
15#include"../common/function.hh"
16#include <dune/pdelab/common/jacobiantocurl.hh>
17#include"gridfunctionspace.hh"
18#include <dune/pdelab/gridfunctionspace/localfunctionspace.hh>
19#include <dune/pdelab/gridfunctionspace/lfsindexcache.hh>
20
21namespace Dune {
22 namespace PDELab {
23
27
28 //===============================================================
29 // output: convert grid function space to discrete grid function
30 //===============================================================
31
32
53 template<typename T, typename X>
54 class DiscreteGridFunction
55 : public GridFunctionBase<
56 GridFunctionTraits<
57 typename T::Traits::GridViewType,
58 typename BasisInterfaceSwitch<
59 typename FiniteElementInterfaceSwitch<
60 typename T::Traits::FiniteElementType
61 >::Basis
62 >::RangeField,
63 BasisInterfaceSwitch<
64 typename FiniteElementInterfaceSwitch<
65 typename T::Traits::FiniteElementType
66 >::Basis
67 >::dimRange,
68 typename BasisInterfaceSwitch<
69 typename FiniteElementInterfaceSwitch<
70 typename T::Traits::FiniteElementType
71 >::Basis
72 >::Range
73 >,
74 DiscreteGridFunction<T,X>
75 >
76 {
77 typedef T GFS;
78
79 typedef typename Dune::BasisInterfaceSwitch<
80 typename FiniteElementInterfaceSwitch<
81 typename T::Traits::FiniteElementType
82 >::Basis
83 > BasisSwitch;
84 typedef GridFunctionBase<
85 GridFunctionTraits<
86 typename T::Traits::GridViewType,
87 typename BasisSwitch::RangeField,
88 BasisSwitch::dimRange,
89 typename BasisSwitch::Range
90 >,
91 DiscreteGridFunction<T,X>
92 > BaseT;
93
94 public:
95 typedef typename BaseT::Traits Traits;
96
102 DiscreteGridFunction (const GFS& gfs, const X& x_)
103 : pgfs(stackobject_to_shared_ptr(gfs))
104 , lfs(gfs)
105 , lfs_cache(lfs)
106 , x_view(x_)
107 , xl(gfs.maxLocalSize())
108 , yb(gfs.maxLocalSize())
109 {
110 }
111
117 DiscreteGridFunction (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
118 : pgfs(gfs)
119 , lfs(*gfs)
120 , lfs_cache(lfs)
121 , x_view(*x_)
122 , xl(gfs->maxLocalSize())
123 , yb(gfs->maxLocalSize())
124 , px(x_) // FIXME: The LocalView should handle a shared_ptr correctly!
125 {
126 }
127
128 // Evaluate
129 inline void evaluate (const typename Traits::ElementType& e,
130 const typename Traits::DomainType& x,
131 typename Traits::RangeType& y) const
132 {
133 typedef FiniteElementInterfaceSwitch<
134 typename Dune::PDELab::LocalFunctionSpace<GFS>::Traits::FiniteElementType
135 > FESwitch;
136 lfs.bind(e);
137 lfs_cache.update();
138 x_view.bind(lfs_cache);
139 x_view.read(xl);
140 x_view.unbind();
141 FESwitch::basis(lfs.finiteElement()).evaluateFunction(x,yb);
142 y = 0;
143 for (unsigned int i=0; i<yb.size(); i++)
144 {
145 y.axpy(xl[i],yb[i]);
146 }
147 }
148
150 inline const typename Traits::GridViewType& getGridView () const
151 {
152 return pgfs->gridView();
153 }
154
155 private:
156
157 typedef LocalFunctionSpace<GFS> LFS;
158 typedef LFSIndexCache<LFS> LFSCache;
159 typedef typename X::template ConstLocalView<LFSCache> XView;
160
161 std::shared_ptr<GFS const> pgfs;
162 mutable LFS lfs;
163 mutable LFSCache lfs_cache;
164 mutable XView x_view;
165 mutable std::vector<typename Traits::RangeFieldType> xl;
166 mutable std::vector<typename Traits::RangeType> yb;
167 std::shared_ptr<const X> px; // FIXME: dummy pointer to make sure we take ownership of X
168 };
169
179 template<typename T, typename X>
180 class DiscreteGridFunctionCurl :
181 public GridFunctionBase<
182 GridFunctionTraits<
183 typename T::Traits::GridViewType,
184 typename JacobianToCurl<typename T::Traits::FiniteElementType::
185 Traits::LocalBasisType::Traits::JacobianType>::CurlField,
186 JacobianToCurl<typename T::Traits::FiniteElementType::Traits::LocalBasisType::
187 Traits::JacobianType>::dimCurl,
188 typename JacobianToCurl<typename T::Traits::FiniteElementType::
189 Traits::LocalBasisType::Traits::JacobianType>::Curl
190 >,
191 DiscreteGridFunctionCurl<T,X>
192 >
193 {
194 typedef T GFS;
195 typedef typename T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::
196 JacobianType Jacobian;
197 typedef JacobianToCurl<Jacobian> J2C;
198
199 public:
200 typedef GridFunctionTraits<
201 typename T::Traits::GridViewType,
202 typename J2C::CurlField, J2C::dimCurl, typename J2C::Curl
203 > Traits;
204
210 DiscreteGridFunctionCurl(const GFS& gfs, const X& x_)
211 : pgfs(stackobject_to_shared_ptr(gfs))
212 , lfs(gfs)
213 , lfs_cache(lfs)
214 , x_view(x_)
215 , xl(gfs.maxLocalSize())
216 , jacobian(gfs.maxLocalSize())
217 , yb(gfs.maxLocalSize())
218 , px(stackobject_to_shared_ptr(x_))
219 {}
220
226 DiscreteGridFunctionCurl(std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
227 : pgfs(gfs)
228 , lfs(*gfs)
229 , lfs_cache(lfs)
230 , x_view(*x_)
231 , xl(gfs->maxLocalSize())
232 , jacobian(gfs->maxLocalSize())
233 , yb(gfs->maxLocalSize())
234 , px(x_)
235 {}
236
237 // Evaluate
238 void evaluate (const typename Traits::ElementType& e,
239 const typename Traits::DomainType& x,
240 typename Traits::RangeType& y) const
241 {
242 static const J2C& j2C = J2C();
243
244 lfs.bind();
245 lfs_cache.update();
246 x_view.bind(lfs_cache);
247 x_view.read(xl);
248 x_view.unbind();
249
250 lfs.finiteElement().basis().evaluateJacobian(x,jacobian);
251
252 y = 0;
253 for (std::size_t i=0; i < lfs.size(); i++) {
254 j2C(jacobian[i], yb);
255 y.axpy(xl[i], yb);
256 }
257 }
258
260 const typename Traits::GridViewType& getGridView() const
261 { return pgfs->gridView(); }
262
263 private:
264 typedef GridFunctionBase<Traits, DiscreteGridFunctionCurl<T,X> >
265 BaseT;
266 typedef LocalFunctionSpace<GFS> LFS;
267 typedef LFSIndexCache<LFS> LFSCache;
268 typedef typename X::template ConstLocalView<LFSCache> XView;
269
270 std::shared_ptr<GFS const> pgfs;
271 mutable LFS lfs;
272 mutable LFSCache lfs_cache;
273 mutable XView x_view;
274 mutable std::vector<typename Traits::RangeFieldType> xl;
275 mutable std::vector<Jacobian> jacobian;
276 mutable std::vector<typename Traits::RangeType> yb;
277 std::shared_ptr<const X> px; // FIXME: dummy pointer to make sure we take ownership of X
278 };
279
281
293 template<typename GV, typename RangeFieldType, int dimRangeOfBasis>
294 struct DiscreteGridFunctionCurlTraits {
295 static_assert(AlwaysFalse<GV>::value,
296 "DiscreteGridFunctionCurl (and friends) work in 2D "
297 "and 3D only");
298 };
300
306 template<typename GV, typename RangeFieldType>
307 struct DiscreteGridFunctionCurlTraits<GV, RangeFieldType, 1>
308 : public GridFunctionTraits<GV,
309 RangeFieldType, 2,
310 FieldVector<RangeFieldType, 2> >
311 {
312 static_assert(GV::dimensionworld == 2,
313 "World dimension of grid must be 2 for the curl of a "
314 "scalar (1D) quantity");
315 };
317
322 template<typename GV, typename RangeFieldType>
323 struct DiscreteGridFunctionCurlTraits<GV, RangeFieldType, 2>
324 : public GridFunctionTraits<GV,
325 RangeFieldType, 1,
326 FieldVector<RangeFieldType, 1> >
327 {
328 static_assert(GV::dimensionworld == 2,
329 "World dimension of grid must be 2 for the curl of a"
330 "2D quantity");
331 };
333
338 template<typename GV, typename RangeFieldType>
339 struct DiscreteGridFunctionCurlTraits<GV, RangeFieldType, 3>
340 : public GridFunctionTraits<GV,
341 RangeFieldType, 3,
342 FieldVector<RangeFieldType, 3> >
343 {
344 static_assert(GV::dimensionworld == 3,
345 "World dimension of grid must be 3 for the curl of a"
346 "3D quantity");
347 };
348
351
365 template<typename T, typename X>
366 class DiscreteGridFunctionGlobalCurl
367 : public GridFunctionBase<
368 DiscreteGridFunctionCurlTraits<
369 typename T::Traits::GridViewType,
370 typename T::Traits::FiniteElementType::Traits::
371 LocalBasisType::Traits::RangeFieldType,
372 T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::
373 dimRange>,
374 DiscreteGridFunctionGlobalCurl<T,X> >
375 {
376 public:
377 typedef DiscreteGridFunctionCurlTraits<
378 typename T::Traits::GridViewType,
379 typename T::Traits::FiniteElementType::Traits::
380 LocalBasisType::Traits::RangeFieldType,
381 T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::
382 dimRange> Traits;
383
384 private:
385 typedef T GFS;
386 typedef GridFunctionBase<
387 Traits,
388 DiscreteGridFunctionGlobalCurl<T,X> > BaseT;
389 typedef typename T::Traits::FiniteElementType::Traits::
390 LocalBasisType::Traits LBTraits;
391
392 public:
398 DiscreteGridFunctionGlobalCurl (const GFS& gfs, const X& x_)
399 : pgfs(stackobject_to_shared_ptr(gfs))
400 , lfs(gfs)
401 , lfs_cache(lfs)
402 , x_view(x_)
403 , xl(gfs.maxLocalSize())
404 , J(gfs.maxLocalSize())
405 , px(stackobject_to_shared_ptr(x_))
406 {}
407
413 DiscreteGridFunctionGlobalCurl(std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
414 : pgfs(gfs)
415 , lfs(*gfs)
416 , lfs_cache(lfs)
417 , x_view(*x_)
418 , xl(gfs->maxLocalSize())
419 , J(gfs->maxLocalSize())
420 , px(x_)
421 {}
422
423 // Evaluate
424 inline void evaluate (const typename Traits::ElementType& e,
425 const typename Traits::DomainType& x,
426 typename Traits::RangeType& y) const
427 {
428 lfs.bind(e);
429 lfs_cache.update();
430 x_view.bind(lfs_cache);
431 x_view.read(xl);
432 x_view.unbind();
433
434 lfs.finiteElement().localBasis().
435 evaluateJacobianGlobal(x,J,e.geometry());
436 y = 0;
437 for (unsigned int i=0; i<J.size(); i++)
438 // avoid a "case label value exceeds maximum value for type"
439 // warning: since dimRange is an anonymous enum, its type may
440 // contain only the values 0 and 1, resulting in a warning.
441 switch(unsigned(Traits::dimRange)) {
442 case 1:
443 y[0] += xl[i] * J[i][0][1];
444 y[1] += xl[i] * -J[i][0][0];
445 break;
446 case 2:
447 y[0] += xl[i]*(J[i][1][0] - J[i][0][1]);
448 break;
449 case 3:
450 y[0] += xl[i]*(J[i][2][1] - J[i][1][2]);
451 y[1] += xl[i]*(J[i][0][2] - J[i][2][0]);
452 y[2] += xl[i]*(J[i][1][0] - J[i][0][1]);
453 break;
454 default:
455 //how did that pass all the static asserts?
456 std::abort();
457 }
458 }
459
461 inline const typename Traits::GridViewType& getGridView () const
462 {
463 return pgfs->gridView();
464 }
465
466 private:
467 typedef LocalFunctionSpace<GFS> LFS;
468 typedef LFSIndexCache<LFS> LFSCache;
469 typedef typename X::template ConstLocalView<LFSCache> XView;
470
471 std::shared_ptr<GFS const> pgfs;
472 mutable LFS lfs;
473 mutable LFSCache lfs_cache;
474 mutable XView x_view;
475 mutable std::vector<typename Traits::RangeFieldType> xl;
476 mutable std::vector<typename T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::JacobianType> J;
477 std::shared_ptr<const X> px; // FIXME: dummy pointer to make sure we take ownership of X
478 };
479
482
490 template<typename T, typename X>
491 class DiscreteGridFunctionGradient
492 : public GridFunctionBase<
493 GridFunctionTraits<
494 typename T::Traits::GridViewType,
495 typename T::Traits::FiniteElementType::Traits::LocalBasisType
496 ::Traits::RangeFieldType,
497 T::Traits::FiniteElementType::Traits::LocalBasisType::Traits
498 ::dimDomain,
499 FieldVector<
500 typename T::Traits::FiniteElementType::Traits
501 ::LocalBasisType::Traits::RangeFieldType,
502 T::Traits::FiniteElementType::Traits::LocalBasisType::Traits
503 ::dimDomain> >,
504 DiscreteGridFunctionGradient<T,X> >
505 {
506 typedef T GFS;
507 typedef typename GFS::Traits::FiniteElementType::Traits::
508 LocalBasisType::Traits LBTraits;
509
510 public:
511 typedef GridFunctionTraits<
512 typename GFS::Traits::GridViewType,
513 typename LBTraits::RangeFieldType,
514 LBTraits::dimDomain,
515 FieldVector<
516 typename LBTraits::RangeFieldType,
517 LBTraits::dimDomain> > Traits;
518
519 private:
520 typedef GridFunctionBase<
521 Traits,
522 DiscreteGridFunctionGradient<T,X> > BaseT;
523
524 public:
530 DiscreteGridFunctionGradient (const GFS& gfs, const X& x_)
531 : pgfs(stackobject_to_shared_ptr(gfs))
532 , lfs(gfs)
533 , lfs_cache(lfs)
534 , x_view(x_)
535 , xl(lfs.size())
536 { }
537
543 DiscreteGridFunctionGradient (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
544 : pgfs(gfs)
545 , lfs(*gfs)
546 , lfs_cache(lfs)
547 , x_view(*x_)
548 , xl(lfs.size())
549 { }
550
551 // Evaluate
552 inline void evaluate (const typename Traits::ElementType& e,
553 const typename Traits::DomainType& x,
554 typename Traits::RangeType& y) const
555 {
556 // get and bind local functions space
557 lfs.bind(e);
558 lfs_cache.update();
559 x_view.bind(lfs_cache);
560
561 // get local coefficients
562 xl.resize(lfs.size());
563 x_view.read(xl);
564 x_view.unbind();
565
566 // get Jacobian of geometry
567 const typename Traits::ElementType::Geometry::JacobianInverseTransposed
568 JgeoIT = e.geometry().jacobianInverseTransposed(x);
569
570 // get local Jacobians/gradients of the shape functions
571 std::vector<typename LBTraits::JacobianType> J(lfs.size());
572 lfs.finiteElement().localBasis().evaluateJacobian(x,J);
573
574 typename Traits::RangeType gradphi;
575 y = 0;
576 for(unsigned int i = 0; i < lfs.size(); ++i) {
577 // compute global gradient of shape function i
578 gradphi = 0;
579 JgeoIT.umv(J[i][0], gradphi);
580
581 // sum up global gradients, weighting them with the appropriate coeff
582 y.axpy(xl[i], gradphi);
583 }
584
585 }
586
588 inline const typename Traits::GridViewType& getGridView () const
589 {
590 return pgfs->gridView();
591 }
592
593 private:
594 typedef LocalFunctionSpace<GFS> LFS;
595 typedef LFSIndexCache<LFS> LFSCache;
596 typedef typename X::template ConstLocalView<LFSCache> XView;
597
598 std::shared_ptr<GFS const> pgfs;
599 mutable LFS lfs;
600 mutable LFSCache lfs_cache;
601 mutable XView x_view;
602 mutable std::vector<typename Traits::RangeFieldType> xl;
603 };
604
609 template<typename T, typename X>
610 class DiscreteGridFunctionPiola
611 : public GridFunctionBase<
612 GridFunctionTraits<
613 typename T::Traits::GridViewType,
614 typename T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
615 T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange,
616 typename T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeType
617 >,
618 DiscreteGridFunctionPiola<T,X>
619 >
620 {
621 typedef T GFS;
622
623 typedef GridFunctionBase<
624 GridFunctionTraits<
625 typename T::Traits::GridViewType,
626 typename T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
627 T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange,
628 typename T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeType
629 >,
630 DiscreteGridFunctionPiola<T,X>
631 > BaseT;
632
633 public:
634 typedef typename BaseT::Traits Traits;
635
640 DiscreteGridFunctionPiola (const GFS& gfs, const X& x_)
641 : pgfs(stackobject_to_shared_ptr(gfs))
642 , lfs(gfs)
643 , lfs_cache(lfs)
644 , x_view(x_)
645 , xl(pgfs->maxLocalSize())
646 , yb(pgfs->maxLocalSize())
647 {
648 }
649
655 DiscreteGridFunctionPiola (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
656 : pgfs(gfs)
657 , lfs(*gfs)
658 , lfs_cache(lfs)
659 , x_view(*x_)
660 , xl(pgfs->maxLocalSize())
661 , yb(pgfs->maxLocalSize())
662 {
663 }
664
665 inline void evaluate (const typename Traits::ElementType& e,
666 const typename Traits::DomainType& x,
667 typename Traits::RangeType& y) const
668 {
669 // evaluate shape function on the reference element as before
670 lfs.bind(e);
671 lfs_cache.update();
672 x_view.bind(lfs_cache);
673 x_view.read(xl);
674 x_view.unbind();
675
676 lfs.finiteElement().localBasis().evaluateFunction(x,yb);
677 typename Traits::RangeType yhat;
678 yhat = 0;
679 for (unsigned int i=0; i<yb.size(); i++)
680 yhat.axpy(xl[i],yb[i]);
681
682 // apply Piola transformation
683 typename Traits::ElementType::Geometry::JacobianInverseTransposed
684 J = e.geometry().jacobianInverseTransposed(x);
685 J.invert();
686 y = 0;
687 J.umtv(yhat,y);
688 y /= J.determinant();
689 }
690
692 inline const typename Traits::GridViewType& getGridView () const
693 {
694 return pgfs->gridView();
695 }
696
697 private:
698
699 typedef LocalFunctionSpace<GFS> LFS;
700 typedef LFSIndexCache<LFS> LFSCache;
701 typedef typename X::template ConstLocalView<LFSCache> XView;
702
703 std::shared_ptr<GFS const> pgfs;
704 mutable LFS lfs;
705 mutable LFSCache lfs_cache;
706 mutable XView x_view;
707 mutable std::vector<typename Traits::RangeFieldType> xl;
708 mutable std::vector<typename Traits::RangeType> yb;
709
710 };
711
723#ifdef __clang__
724 // clang is too stupid to correctly apply the constexpr qualifier of staticDegree in this context
725 template<typename T, typename X, std::size_t dimR = TypeTree::StaticDegree<T>::value>
726#else
727 template<typename T, typename X, std::size_t dimR = TypeTree::StaticDegree<T>::value>
728#endif
729 class VectorDiscreteGridFunction
730 : public GridFunctionBase<
731 GridFunctionTraits<
732 typename T::Traits::GridViewType,
733 typename T::template Child<0>::Type::Traits::FiniteElementType
734 ::Traits::LocalBasisType::Traits::RangeFieldType,
735 dimR,
736 Dune::FieldVector<
737 typename T::template Child<0>::Type::Traits::FiniteElementType
738 ::Traits::LocalBasisType::Traits::RangeFieldType,
739 dimR
740 >
741 >,
742 VectorDiscreteGridFunction<T,X>
743 >
744 {
745 typedef T GFS;
746
747 typedef GridFunctionBase<
748 GridFunctionTraits<
749 typename T::Traits::GridViewType,
750 typename T::template Child<0>::Type::Traits::FiniteElementType
751 ::Traits::LocalBasisType::Traits::RangeFieldType,
752 dimR,
753 Dune::FieldVector<
754 typename T::template Child<0>::Type::Traits::FiniteElementType
755 ::Traits::LocalBasisType::Traits::RangeFieldType,
756 dimR
757 >
758 >,
759 VectorDiscreteGridFunction<T,X,dimR>
760 > BaseT;
761
762 public:
763 typedef typename BaseT::Traits Traits;
764 typedef typename T::template Child<0>::Type ChildType;
765 typedef typename ChildType::Traits::FiniteElementType
766 ::Traits::LocalBasisType::Traits::RangeFieldType RF;
767 typedef typename ChildType::Traits::FiniteElementType
768 ::Traits::LocalBasisType::Traits::RangeType RT;
769
771
776 VectorDiscreteGridFunction(const GFS& gfs, const X& x_,
777 std::size_t start = 0)
778 : pgfs(stackobject_to_shared_ptr(gfs))
779 , lfs(gfs)
780 , lfs_cache(lfs)
781 , x_view(x_)
782 , xl(gfs.maxLocalSize())
783 , yb(gfs.maxLocalSize())
784 {
785 for(std::size_t i = 0; i < dimR; ++i)
786 remap[i] = i + start;
787 }
788
795 VectorDiscreteGridFunction (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_,
796 std::size_t start = 0)
797 : pgfs(gfs)
798 , lfs(*gfs)
799 , lfs_cache(lfs)
800 , x_view(*x_)
801 , xl(pgfs->maxLocalSize())
802 , yb(pgfs->maxLocalSize())
803 {
804 for(std::size_t i = 0; i < dimR; ++i)
805 remap[i] = i + start;
806 }
807
809
820 template<class Remap>
821 VectorDiscreteGridFunction(const GFS& gfs, const X& x_,
822 const Remap &remap_)
823 : pgfs(stackobject_to_shared_ptr(gfs))
824 , lfs(gfs)
825 , lfs_cache(lfs)
826 , x_view(x_)
827 , xl(gfs.maxLocalSize())
828 , yb(gfs.maxLocalSize())
829 , px(stackobject_to_shared_ptr(x_))
830 {
831 for(std::size_t i = 0; i < dimR; ++i)
832 remap[i] = remap_[i];
833 }
834
847 template<class Remap>
848 VectorDiscreteGridFunction (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_,
849 const Remap &remap_)
850 : pgfs(gfs)
851 , lfs(*gfs)
852 , lfs_cache(lfs)
853 , x_view(*x_)
854 , xl(pgfs->maxLocalSize())
855 , yb(pgfs->maxLocalSize())
856 , px(x_)
857 {
858 for(std::size_t i = 0; i < dimR; ++i)
859 remap[i] = remap_[i];
860 }
861
862 inline void evaluate (const typename Traits::ElementType& e,
863 const typename Traits::DomainType& x,
864 typename Traits::RangeType& y) const
865 {
866 lfs.bind(e);
867 lfs_cache.update();
868 x_view.bind(lfs_cache);
869 x_view.read(xl);
870 x_view.unbind();
871 for (unsigned int k=0; k < dimR; k++)
872 {
873 lfs.child(remap[k]).finiteElement().localBasis().
874 evaluateFunction(x,yb);
875 y[k] = 0.0;
876 for (unsigned int i=0; i<yb.size(); i++)
877 y[k] += xl[lfs.child(remap[k]).localIndex(i)]*yb[i];
878 }
879 }
880
882 inline const typename Traits::GridViewType& getGridView () const
883 {
884 return pgfs->gridView();
885 }
886
887 private:
888 typedef LocalFunctionSpace<GFS> LFS;
889 typedef LFSIndexCache<LFS> LFSCache;
890 typedef typename X::template ConstLocalView<LFSCache> XView;
891
892 std::shared_ptr<GFS const> pgfs;
893 std::size_t remap[dimR];
894 mutable LFS lfs;
895 mutable LFSCache lfs_cache;
896 mutable XView x_view;
897 mutable std::vector<RF> xl;
898 mutable std::vector<RT> yb;
899 std::shared_ptr<const X> px; // FIXME: dummy pointer to make sure we take ownership of X
900 };
901
907 template<typename T, typename X>
908 class VectorDiscreteGridFunctionGradient
909 : public GridFunctionBase<
910 GridFunctionTraits<
911 typename T::Traits::GridViewType,
912 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
913 //T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimDomain,
914 TypeTree::StaticDegree<T>::value,
915 Dune::FieldMatrix<
916 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
917 TypeTree::StaticDegree<T>::value,
918 T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimDomain
919 >
920 >,
921 VectorDiscreteGridFunctionGradient<T,X>
922 >
923 {
924 typedef T GFS;
925
926 typedef GridFunctionBase<
927 GridFunctionTraits<
928 typename T::Traits::GridViewType,
929 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
930 //T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimDomain,
931 TypeTree::StaticDegree<T>::value,
932 Dune::FieldMatrix<
933 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
934 TypeTree::StaticDegree<T>::value,
935 T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimDomain>
936 >,
937 VectorDiscreteGridFunctionGradient<T,X>
938 > BaseT;
939
940 public:
941 typedef typename BaseT::Traits Traits;
942 typedef typename T::template Child<0>::Type ChildType;
943 typedef typename ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits LBTraits;
944
945 typedef typename LBTraits::RangeFieldType RF;
946 typedef typename LBTraits::JacobianType JT;
947
953 VectorDiscreteGridFunctionGradient (const GFS& gfs, const X& x_)
954 : pgfs(stackobject_to_shared_ptr(gfs))
955 , lfs(gfs)
956 , lfs_cache(lfs)
957 , x_view(x_)
958 , xl(gfs.maxLocalSize())
959 , J(gfs.maxLocalSize())
960 {
961 }
962
968 VectorDiscreteGridFunctionGradient (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
969 : pgfs(gfs)
970 , lfs(*gfs)
971 , lfs_cache(lfs)
972 , x_view(*x_)
973 , xl(pgfs->maxLocalSize())
974 , J(pgfs->maxLocalSize())
975 {
976 }
977
978 inline void evaluate(const typename Traits::ElementType& e,
979 const typename Traits::DomainType& x,
980 typename Traits::RangeType& y) const
981 {
982 // get and bind local functions space
983 lfs.bind(e);
984 lfs_cache.update();
985 x_view.bind(lfs_cache);
986 x_view.read(xl);
987 x_view.unbind();
988
989 // get Jacobian of geometry
990 const typename Traits::ElementType::Geometry::JacobianInverseTransposed
991 JgeoIT = e.geometry().jacobianInverseTransposed(x);
992
993 y = 0.0;
994
995 // Loop over PowerLFS and calculate gradient for each child separately
996 for(unsigned int k = 0; k != TypeTree::degree(lfs); ++k)
997 {
998 // get local Jacobians/gradients of the shape functions
999 std::vector<typename LBTraits::JacobianType> J(lfs.child(k).size());
1000 lfs.child(k).finiteElement().localBasis().evaluateJacobian(x,J);
1001
1002 Dune::FieldVector<RF,LBTraits::dimDomain> gradphi;
1003 for (typename LFS::Traits::SizeType i=0; i<lfs.child(k).size(); i++)
1004 {
1005 gradphi = 0;
1006 JgeoIT.umv(J[i][0], gradphi);
1007
1008 y[k].axpy(xl[lfs.child(k).localIndex(i)], gradphi);
1009 }
1010 }
1011 }
1012
1013
1015 inline const typename Traits::GridViewType& getGridView () const
1016 {
1017 return pgfs->gridView();
1018 }
1019
1020 private:
1021 typedef LocalFunctionSpace<GFS> LFS;
1022 typedef LFSIndexCache<LFS> LFSCache;
1023 typedef typename X::template ConstLocalView<LFSCache> XView;
1024
1025 std::shared_ptr<GFS const> pgfs;
1026 mutable LFS lfs;
1027 mutable LFSCache lfs_cache;
1028 mutable XView x_view;
1029 mutable std::vector<RF> xl;
1030 mutable std::vector<JT> J;
1031 std::shared_ptr<const X> px; // FIXME: dummy pointer to make sure we take ownership of X
1032 };
1033
1047 template<typename Mat, typename RF, std::size_t size>
1048 struct SingleDerivativeComputationHelper {
1053 template<typename T>
1054 static inline RF compute_derivative(const Mat& mat, const T& t, const unsigned int k)
1055 {
1056 // setting this to zero is just a test if the template specialization work
1057 Dune::FieldVector<RF,size> grad_phi(0.0);
1058 mat.umv(t,grad_phi);
1059 return grad_phi[k];
1060 // return 0.0;
1061 }
1062 };
1063
1072 template<typename RF, std::size_t size>
1073 struct SingleDerivativeComputationHelper<Dune::FieldMatrix<RF,size,size>,RF,size> {
1079 template<typename T>
1080 static inline RF compute_derivative(const Dune::FieldMatrix<RF,size,size>& mat, const T& t, const unsigned int k)
1081 {
1082 return mat[k]*t;
1083 }
1084 };
1085
1096 template<typename RF, std::size_t size>
1097 struct SingleDerivativeComputationHelper<Dune::DiagonalMatrix<RF,size>,RF,size> {
1103 template<typename T>
1104 static inline RF compute_derivative(const Dune::DiagonalMatrix<RF,size>& mat, const T& t, const unsigned int k)
1105 {
1106 return mat[k][k]*t[k];
1107 }
1108 };
1109
1120 template<typename T, typename X>
1121 class VectorDiscreteGridFunctionDiv
1122 : public Dune::PDELab::GridFunctionBase<
1123 Dune::PDELab::GridFunctionTraits<
1124 typename T::Traits::GridViewType,
1125 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
1126 T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange,
1127 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeType>,
1128 VectorDiscreteGridFunctionDiv<T,X> >
1129 {
1130 typedef T GFS;
1131
1132 typedef Dune::PDELab::GridFunctionBase<
1133 Dune::PDELab::GridFunctionTraits<
1134 typename T::Traits::GridViewType,
1135 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
1136 T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange,
1137 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeType>,
1138 VectorDiscreteGridFunctionDiv<T,X> > BaseT;
1139 public :
1140 typedef typename BaseT::Traits Traits;
1141 typedef typename T::template Child<0>::Type ChildType;
1142 typedef typename ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits LBTraits;
1143
1144 typedef typename LBTraits::RangeFieldType RF;
1145 typedef typename LBTraits::JacobianType JT;
1146
1152 VectorDiscreteGridFunctionDiv(const GFS& gfs, const X& x_)
1153 : pgfs(stackobject_to_shared_ptr(gfs))
1154 , lfs(gfs)
1155 , lfs_cache(lfs)
1156 , x_view(x_)
1157 , xl(gfs.maxLocalSize())
1158 , J(gfs.maxLocalSize())
1159 {
1160 static_assert(LBTraits::dimDomain == TypeTree::StaticDegree<T>::value,
1161 "dimDomain and number of children has to be the same");
1162 }
1163
1169 VectorDiscreteGridFunctionDiv (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
1170 : pgfs(gfs)
1171 , lfs(*gfs)
1172 , lfs_cache(lfs)
1173 , x_view(*x_)
1174 , xl(pgfs->maxLocalSize())
1175 , J(pgfs->maxLocalSize())
1176 {
1177 static_assert(LBTraits::dimDomain == TypeTree::StaticDegree<T>::value,
1178 "dimDomain and number of children has to be the same");
1179 }
1180
1181 inline void evaluate(const typename Traits::ElementType& e,
1182 const typename Traits::DomainType& x,
1183 typename Traits::RangeType& y) const
1184 {
1185 // get and bind local functions space
1186 lfs.bind(e);
1187 lfs_cache.update();
1188 x_view.bind(lfs_cache);
1189 x_view.read(xl);
1190 x_view.unbind();
1191
1192 // get Jacobian of geometry
1193 const typename Traits::ElementType::Geometry::JacobianInverseTransposed
1194 JgeoIT = e.geometry().jacobianInverseTransposed(x);
1195
1196 const typename Traits::ElementType::Geometry::JacobianInverseTransposed::size_type N =
1197 Traits::ElementType::Geometry::JacobianInverseTransposed::rows;
1198
1199 y = 0.0;
1200
1201 // loop over VectorGFS and calculate k-th derivative of k-th child
1202 for(unsigned int k=0; k != TypeTree::degree(lfs); ++k) {
1203
1204 // get local Jacobians/gradients of the shape functions
1205 std::vector<typename LBTraits::JacobianType> J(lfs.child(k).size());
1206 lfs.child(k).finiteElement().localBasis().evaluateJacobian(x,J);
1207
1208 RF d_k_phi;
1209 for(typename LFS::Traits::SizeType i=0; i<lfs.child(k).size(); i++) {
1210 // compute k-th derivative of k-th child
1211 d_k_phi =
1212 SingleDerivativeComputationHelper<
1213 typename Traits::ElementType::Geometry::JacobianInverseTransposed,
1214 typename Traits::ElementType::Geometry::JacobianInverseTransposed::field_type,
1215 N>::template compute_derivative<typename LBTraits::JacobianType::row_type>
1216 (JgeoIT,J[i][0],k);
1217
1218 y += xl[lfs.child(k).localIndex(i)] * d_k_phi;
1219 }
1220 }
1221 }
1222
1224 inline const typename Traits::GridViewType& getGridView() const
1225 {
1226 return pgfs->gridView();
1227 }
1228
1229 private :
1230 typedef Dune::PDELab::LocalFunctionSpace<GFS> LFS;
1231 typedef Dune::PDELab::LFSIndexCache<LFS> LFSCache;
1232 typedef typename X::template ConstLocalView<LFSCache> XView;
1233
1234 std::shared_ptr<GFS const> pgfs;
1235 mutable LFS lfs;
1236 mutable LFSCache lfs_cache;
1237 mutable XView x_view;
1238 mutable std::vector<RF> xl;
1239 mutable std::vector<JT> J;
1240 std::shared_ptr<const X> px;
1241 }; // end class VectorDiscreteGridFunctionDiv
1242
1255 template<typename T, typename X, std::size_t dimR = TypeTree::StaticDegree<T>::value>
1256 class VectorDiscreteGridFunctionCurl
1257 {
1258 typedef T GFS;
1259 public :
1260
1261 VectorDiscreteGridFunctionCurl(const GFS& gfs, const X& x)
1262 {
1263 static_assert(AlwaysFalse<typename GFS::Traits::GridViewType>::value,
1264 "Curl computation can only be done in two or three dimensions");
1265 }
1266
1267 VectorDiscreteGridFunctionCurl(std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
1268 {
1269 static_assert(AlwaysFalse<typename GFS::Traits::GridViewType>::value,
1270 "Curl computation can only be done in two or three dimensions");
1271 }
1272
1273 };
1274
1285 template<typename T, typename X>
1286 class VectorDiscreteGridFunctionCurl<T,X,3>
1287 : public Dune::PDELab::GridFunctionBase<
1288 Dune::PDELab::GridFunctionTraits<
1289 typename T::Traits::GridViewType,
1290 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
1291 //T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange,
1292 TypeTree::StaticDegree<T>::value,
1293 Dune::FieldVector<
1294 typename T::template Child<0>::Type::Traits::FiniteElementType
1295 ::Traits::LocalBasisType::Traits::RangeFieldType,
1296 //T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange
1297 TypeTree::StaticDegree<T>::value
1298 >
1299 >,
1300 VectorDiscreteGridFunctionCurl<T,X>
1301 >
1302 {
1303 typedef T GFS;
1304
1305 typedef Dune::PDELab::GridFunctionBase<
1306 Dune::PDELab::GridFunctionTraits<
1307 typename T::Traits::GridViewType,
1308 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
1309 //T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange,
1310 TypeTree::StaticDegree<T>::value,
1311 Dune::FieldVector<
1312 typename T::template Child<0>::Type::Traits::FiniteElementType
1313 ::Traits::LocalBasisType::Traits::RangeFieldType,
1314 //T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange
1315 TypeTree::StaticDegree<T>::value
1316 >
1317 >,
1318 VectorDiscreteGridFunctionCurl<T,X> > BaseT;
1319
1320 public :
1321 typedef typename BaseT::Traits Traits;
1322 typedef typename T::template Child<0>::Type ChildType;
1323 typedef typename ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits LBTraits;
1324
1325 typedef typename LBTraits::RangeFieldType RF;
1326 typedef typename LBTraits::JacobianType JT;
1327
1333 VectorDiscreteGridFunctionCurl(const GFS& gfs, const X& x_)
1334 : pgfs(stackobject_to_shared_ptr(gfs))
1335 , lfs(gfs)
1336 , lfs_cache(lfs)
1337 , x_view(x_)
1338 , xl(gfs.maxLocalSize())
1339 , J(gfs.maxLocalSize())
1340 {
1341 static_assert(LBTraits::dimDomain == TypeTree::StaticDegree<T>::value,
1342 "dimDomain and number of children has to be the same");
1343 }
1344
1350 VectorDiscreteGridFunctionCurl (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
1351 : pgfs(gfs)
1352 , lfs(*gfs)
1353 , lfs_cache(lfs)
1354 , x_view(*x_)
1355 , xl(pgfs->maxLocalSize())
1356 , J(pgfs->maxLocalSize())
1357 {
1358 static_assert(LBTraits::dimDomain == TypeTree::StaticDegree<T>::value,
1359 "dimDomain and number of children has to be the same");
1360 }
1361
1362 inline void evaluate(const typename Traits::ElementType& e,
1363 const typename Traits::DomainType& x,
1364 typename Traits::RangeType& y) const
1365 {
1366 // get and bind local functions space
1367 lfs.bind(e);
1368 lfs_cache.update();
1369 x_view.bind(lfs_cache);
1370 x_view.read(xl);
1371 x_view.unbind();
1372
1373 // get Jacobian of geometry
1374 const typename Traits::ElementType::Geometry::JacobianInverseTransposed
1375 JgeoIT = e.geometry().jacobianInverseTransposed(x);
1376
1377 const typename Traits::ElementType::Geometry::JacobianInverseTransposed::size_type N =
1378 Traits::ElementType::Geometry::JacobianInverseTransposed::rows;
1379
1380 y = 0.0;
1381
1382 // some handy variables for the curl in 3D
1383 int i1, i2;
1384
1385 // loop over childs of VectorGFS
1386 for(unsigned int k=0; k != TypeTree::degree(lfs); ++k) {
1387
1388 // get local Jacobians/gradients of the shape functions
1389 std::vector<typename LBTraits::JacobianType> J(lfs.child(k).size());
1390 lfs.child(k).finiteElement().localBasis().evaluateJacobian(x,J);
1391
1392 // pick out the right derivative and component for the curl computation
1393 i1 = (k+1)%3;
1394 i2 = (k+2)%3;
1395
1396 RF d_k_phi;
1397 for(typename LFS::Traits::SizeType i=0; i<lfs.child(k).size(); i++) {
1398 // compute i2-th derivative of k-th child
1399 d_k_phi =
1400 SingleDerivativeComputationHelper<
1401 typename Traits::ElementType::Geometry::JacobianInverseTransposed,
1402 typename Traits::ElementType::Geometry::JacobianInverseTransposed::field_type,
1403 N>::template compute_derivative<typename LBTraits::JacobianType::row_type>
1404 (JgeoIT,J[i][0],i2);
1405
1406 y[i1] += xl[lfs.child(k).localIndex(i)] * d_k_phi;
1407
1408 // compute i1-th derivative of k-th child
1409 d_k_phi =
1410 SingleDerivativeComputationHelper<
1411 typename Traits::ElementType::Geometry::JacobianInverseTransposed,
1412 typename Traits::ElementType::Geometry::JacobianInverseTransposed::field_type,
1413 N>::template compute_derivative<typename LBTraits::JacobianType::row_type>
1414 (JgeoIT,J[i][0],i1);
1415
1416 y[i2] -= xl[lfs.child(k).localIndex(i)] * d_k_phi;
1417 }
1418 }
1419 }
1420
1422 inline const typename Traits::GridViewType& getGridView() const
1423 {
1424 return pgfs->gridView();
1425 }
1426
1427 private :
1428 typedef Dune::PDELab::LocalFunctionSpace<GFS> LFS;
1429 typedef Dune::PDELab::LFSIndexCache<LFS> LFSCache;
1430 typedef typename X::template ConstLocalView<LFSCache> XView;
1431
1432 std::shared_ptr<GFS const> pgfs;
1433 mutable LFS lfs;
1434 mutable LFSCache lfs_cache;
1435 mutable XView x_view;
1436 mutable std::vector<RF> xl;
1437 mutable std::vector<JT> J;
1438 std::shared_ptr<const X> px;
1439 }; // end class VectorDiscreteGridFunctionCurl (3D)
1440
1451 template<typename T, typename X>
1452 class VectorDiscreteGridFunctionCurl<T,X,2>
1453 : public Dune::PDELab::GridFunctionBase<
1454 Dune::PDELab::GridFunctionTraits<
1455 typename T::Traits::GridViewType,
1456 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
1457 T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange,
1458 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeType>,
1459 VectorDiscreteGridFunctionDiv<T,X> >
1460 {
1461 typedef T GFS;
1462
1463 typedef Dune::PDELab::GridFunctionBase<
1464 Dune::PDELab::GridFunctionTraits<
1465 typename T::Traits::GridViewType,
1466 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType,
1467 T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange,
1468 typename T::template Child<0>::Type::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeType>,
1469 VectorDiscreteGridFunctionDiv<T,X> > BaseT;
1470 public :
1471 typedef typename BaseT::Traits Traits;
1472 typedef typename T::template Child<0>::Type ChildType;
1473 typedef typename ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits LBTraits;
1474
1475 typedef typename LBTraits::RangeFieldType RF;
1476 typedef typename LBTraits::JacobianType JT;
1477
1483 VectorDiscreteGridFunctionCurl(const GFS& gfs, const X& x_)
1484 : pgfs(stackobject_to_shared_ptr(gfs))
1485 , lfs(gfs)
1486 , lfs_cache(lfs)
1487 , x_view(x_)
1488 , xl(gfs.maxLocalSize())
1489 , J(gfs.maxLocalSize())
1490 {
1491 static_assert(LBTraits::dimDomain == TypeTree::StaticDegree<T>::value,
1492 "dimDomain and number of children has to be the same");
1493 }
1494
1500 VectorDiscreteGridFunctionCurl (std::shared_ptr<const GFS> gfs, std::shared_ptr<const X> x_)
1501 : pgfs(gfs)
1502 , lfs(*gfs)
1503 , lfs_cache(lfs)
1504 , x_view(*x_)
1505 , xl(pgfs->maxLocalSize())
1506 , J(pgfs->maxLocalSize())
1507 {
1508 static_assert(LBTraits::dimDomain == TypeTree::StaticDegree<T>::value,
1509 "dimDomain and number of children has to be the same");
1510 }
1511
1512 inline void evaluate(const typename Traits::ElementType& e,
1513 const typename Traits::DomainType& x,
1514 typename Traits::RangeType& y) const
1515 {
1516 // get and bind local functions space
1517 lfs.bind(e);
1518 lfs_cache.update();
1519 x_view.bind(lfs_cache);
1520 x_view.read(xl);
1521 x_view.unbind();
1522
1523 // get Jacobian of geometry
1524 const typename Traits::ElementType::Geometry::JacobianInverseTransposed
1525 JgeoIT = e.geometry().jacobianInverseTransposed(x);
1526
1527 const typename Traits::ElementType::Geometry::JacobianInverseTransposed::size_type N =
1528 Traits::ElementType::Geometry::JacobianInverseTransposed::rows;
1529
1530 y = 0.0;
1531
1532 // some handy variables for the curl computation in 2D
1533 RF sign = -1.0;
1534 int i2;
1535
1536 // loop over childs of VectorGFS
1537 for(unsigned int k=0; k != TypeTree::degree(lfs); ++k) {
1538
1539 // get local Jacobians/gradients of the shape functions
1540 std::vector<typename LBTraits::JacobianType> J(lfs.child(k).size());
1541 lfs.child(k).finiteElement().localBasis().evaluateJacobian(x,J);
1542
1543 RF d_k_phi;
1544 // pick out the right derivative
1545 i2 = 1-k;
1546 for(typename LFS::Traits::SizeType i=0; i<lfs.child(k).size(); i++) {
1547 // compute i2-th derivative of k-th child
1548 d_k_phi =
1549 SingleDerivativeComputationHelper<
1550 typename Traits::ElementType::Geometry::JacobianInverseTransposed,
1551 typename Traits::ElementType::Geometry::JacobianInverseTransposed::field_type,
1552 N>::template compute_derivative<typename LBTraits::JacobianType::row_type>
1553 (JgeoIT,J[i][0],i2);
1554
1555 y += sign * xl[lfs.child(k).localIndex(i)] * d_k_phi;
1556 }
1557 sign *= -1.0;
1558 }
1559 }
1560
1562 inline const typename Traits::GridViewType& getGridView() const
1563 {
1564 return pgfs->gridView();
1565 }
1566
1567 private :
1568 typedef Dune::PDELab::LocalFunctionSpace<GFS> LFS;
1569 typedef Dune::PDELab::LFSIndexCache<LFS> LFSCache;
1570 typedef typename X::template ConstLocalView<LFSCache> XView;
1571
1572 std::shared_ptr<GFS const> pgfs;
1573 mutable LFS lfs;
1574 mutable LFSCache lfs_cache;
1575 mutable XView x_view;
1576 mutable std::vector<RF> xl;
1577 mutable std::vector<JT> J;
1578 std::shared_ptr<const X> px;
1579 }; // end class VectorDiscreteGridFunctionCurl (2D)
1580
1582 } // namespace PDELab
1583} // namespace Dune
1584
1585#endif // DUNE_PDELAB_GRIDFUNCTIONSPACE_GRIDFUNCTIONSPACEUTILITIES_HH
Dune::TypeTree::degree
std::size_t degree(const Node &node)
Dune::TypeTree::StaticDegree
decltype(Node::degree()) StaticDegree
mat
Matrix & mat
size
int size() const
N
static constexpr size_type N()
Dune::stackobject_to_shared_ptr
std::shared_ptr< T > stackobject_to_shared_ptr(T &t)
Dune::sign
int sign(const T &val)
Dune
For backward compatibility – Do not use this!
Dune::FieldVector::axpy
derived_type & axpy(const field_type &a, const DenseVector< Other > &x)
Dune::BasisInterfaceSwitch::dimRange
static const std::size_t dimRange
Dune::BasisInterfaceSwitch::RangeField
Basis::Traits::RangeField RangeField
Dune::BasisInterfaceSwitch::Range
Basis::Traits::Range Range
Dune::PDELab::FunctionTraits::RangeFieldType
RF RangeFieldType
Export type for range field.
Definition function.hh:53
Dune::PDELab::PowerCompositeGridFunctionTraits::ElementType
GV::Traits::template Codim< 0 >::Entity ElementType
codim 0 entity
Definition function.hh:119
Dune::PDELab::PowerCompositeGridFunctionTraits::GridViewType
GV GridViewType
The type of the grid view the function lives on.
Definition function.hh:116
Dune::PDELab::GridFunctionTraits
traits class holding the function signature, same as in local function
Definition function.hh:183
Dune::PDELab::GridFunctionInterface::Traits
T Traits
Export type traits.
Definition function.hh:193
Dune::PDELab::GridFunctionBase
leaf of a function tree
Definition function.hh:302
Dune::PDELab::JacobianToCurl
extract the curl of a function from the jacobian of that function
Definition jacobiantocurl.hh:27
Dune::PDELab::DiscreteGridFunction
convert a grid function space and a coefficient vector into a grid function
Definition gridfunctionspaceutilities.hh:76
Dune::PDELab::DiscreteGridFunction::DiscreteGridFunction
DiscreteGridFunction(const GFS &gfs, const X &x_)
Construct a DiscreteGridFunction.
Definition gridfunctionspaceutilities.hh:102
Dune::PDELab::DiscreteGridFunction::Traits
BaseT::Traits Traits
Definition gridfunctionspaceutilities.hh:95
Dune::PDELab::DiscreteGridFunction::DiscreteGridFunction
DiscreteGridFunction(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a DiscreteGridFunction.
Definition gridfunctionspaceutilities.hh:117
Dune::PDELab::DiscreteGridFunction::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:150
Dune::PDELab::DiscreteGridFunction::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:129
Dune::PDELab::DiscreteGridFunctionCurl
convert a grid function space and a coefficient vector into a grid function of the curl
Definition gridfunctionspaceutilities.hh:193
Dune::PDELab::DiscreteGridFunctionCurl::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:238
Dune::PDELab::DiscreteGridFunctionCurl::DiscreteGridFunctionCurl
DiscreteGridFunctionCurl(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a DiscreteGridFunctionCurl.
Definition gridfunctionspaceutilities.hh:226
Dune::PDELab::DiscreteGridFunctionCurl::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:260
Dune::PDELab::DiscreteGridFunctionCurl::Traits
GridFunctionTraits< typename T::Traits::GridViewType, typename J2C::CurlField, J2C::dimCurl, typename J2C::Curl > Traits
Definition gridfunctionspaceutilities.hh:203
Dune::PDELab::DiscreteGridFunctionCurl::DiscreteGridFunctionCurl
DiscreteGridFunctionCurl(const GFS &gfs, const X &x_)
Construct a DiscreteGridFunctionCurl.
Definition gridfunctionspaceutilities.hh:210
Dune::PDELab::DiscreteGridFunctionCurlTraits
Helper class to calculate the Traits of DiscreteGridFunctionCurl.
Definition gridfunctionspaceutilities.hh:294
Dune::PDELab::DiscreteGridFunctionGlobalCurl
convert a single component function space with experimental global finite elements into a grid functi...
Definition gridfunctionspaceutilities.hh:375
Dune::PDELab::DiscreteGridFunctionGlobalCurl::Traits
DiscreteGridFunctionCurlTraits< typename T::Traits::GridViewType, typename T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType, T::Traits::FiniteElementType::Traits::LocalBasisType::Traits::dimRange > Traits
Definition gridfunctionspaceutilities.hh:382
Dune::PDELab::DiscreteGridFunctionGlobalCurl::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:424
Dune::PDELab::DiscreteGridFunctionGlobalCurl::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:461
Dune::PDELab::DiscreteGridFunctionGlobalCurl::DiscreteGridFunctionGlobalCurl
DiscreteGridFunctionGlobalCurl(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a DiscreteGridFunctionGlobalCurl.
Definition gridfunctionspaceutilities.hh:413
Dune::PDELab::DiscreteGridFunctionGlobalCurl::DiscreteGridFunctionGlobalCurl
DiscreteGridFunctionGlobalCurl(const GFS &gfs, const X &x_)
Construct a DiscreteGridFunctionGlobalCurl.
Definition gridfunctionspaceutilities.hh:398
Dune::PDELab::DiscreteGridFunctionGradient
convert a single component function space with a grid function representing the gradient
Definition gridfunctionspaceutilities.hh:505
Dune::PDELab::DiscreteGridFunctionGradient::Traits
GridFunctionTraits< typename GFS::Traits::GridViewType, typename LBTraits::RangeFieldType, LBTraits::dimDomain, FieldVector< typename LBTraits::RangeFieldType, LBTraits::dimDomain > > Traits
Definition gridfunctionspaceutilities.hh:517
Dune::PDELab::DiscreteGridFunctionGradient::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:552
Dune::PDELab::DiscreteGridFunctionGradient::DiscreteGridFunctionGradient
DiscreteGridFunctionGradient(const GFS &gfs, const X &x_)
Construct a DiscreteGridFunctionGradient.
Definition gridfunctionspaceutilities.hh:530
Dune::PDELab::DiscreteGridFunctionGradient::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:588
Dune::PDELab::DiscreteGridFunctionGradient::DiscreteGridFunctionGradient
DiscreteGridFunctionGradient(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a DiscreteGridFunctionGradient.
Definition gridfunctionspaceutilities.hh:543
Dune::PDELab::DiscreteGridFunctionPiola
DiscreteGridFunction with Piola transformation.
Definition gridfunctionspaceutilities.hh:620
Dune::PDELab::DiscreteGridFunctionPiola::DiscreteGridFunctionPiola
DiscreteGridFunctionPiola(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a DiscreteGridFunctionPiola.
Definition gridfunctionspaceutilities.hh:655
Dune::PDELab::DiscreteGridFunctionPiola::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:665
Dune::PDELab::DiscreteGridFunctionPiola::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:692
Dune::PDELab::DiscreteGridFunctionPiola::Traits
BaseT::Traits Traits
Definition gridfunctionspaceutilities.hh:634
Dune::PDELab::DiscreteGridFunctionPiola::DiscreteGridFunctionPiola
DiscreteGridFunctionPiola(const GFS &gfs, const X &x_)
Construct a DiscreteGridFunctionPiola.
Definition gridfunctionspaceutilities.hh:640
Dune::PDELab::VectorDiscreteGridFunction
DiscreteGridFunction for vector-valued functions.
Definition gridfunctionspaceutilities.hh:744
Dune::PDELab::VectorDiscreteGridFunction::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:882
Dune::PDELab::VectorDiscreteGridFunction::RT
ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeType RT
Definition gridfunctionspaceutilities.hh:768
Dune::PDELab::VectorDiscreteGridFunction::Traits
BaseT::Traits Traits
Definition gridfunctionspaceutilities.hh:763
Dune::PDELab::VectorDiscreteGridFunction::VectorDiscreteGridFunction
VectorDiscreteGridFunction(const GFS &gfs, const X &x_, const Remap &remap_)
construct
Definition gridfunctionspaceutilities.hh:821
Dune::PDELab::VectorDiscreteGridFunction::RF
ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits::RangeFieldType RF
Definition gridfunctionspaceutilities.hh:766
Dune::PDELab::VectorDiscreteGridFunction::ChildType
T::template Child< 0 >::Type ChildType
Definition gridfunctionspaceutilities.hh:764
Dune::PDELab::VectorDiscreteGridFunction::VectorDiscreteGridFunction
VectorDiscreteGridFunction(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_, const Remap &remap_)
Construct a VectorDiscreteGridFunction.
Definition gridfunctionspaceutilities.hh:848
Dune::PDELab::VectorDiscreteGridFunction::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:862
Dune::PDELab::VectorDiscreteGridFunction::VectorDiscreteGridFunction
VectorDiscreteGridFunction(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_, std::size_t start=0)
Construct a VectorDiscreteGridFunction.
Definition gridfunctionspaceutilities.hh:795
Dune::PDELab::VectorDiscreteGridFunction::VectorDiscreteGridFunction
VectorDiscreteGridFunction(const GFS &gfs, const X &x_, std::size_t start=0)
construct
Definition gridfunctionspaceutilities.hh:776
Dune::PDELab::VectorDiscreteGridFunctionGradient
Equivalent of DiscreteGridFunctionGradient for vector-valued functions.
Definition gridfunctionspaceutilities.hh:923
Dune::PDELab::VectorDiscreteGridFunctionGradient::RF
LBTraits::RangeFieldType RF
Definition gridfunctionspaceutilities.hh:945
Dune::PDELab::VectorDiscreteGridFunctionGradient::Traits
BaseT::Traits Traits
Definition gridfunctionspaceutilities.hh:941
Dune::PDELab::VectorDiscreteGridFunctionGradient::ChildType
T::template Child< 0 >::Type ChildType
Definition gridfunctionspaceutilities.hh:942
Dune::PDELab::VectorDiscreteGridFunctionGradient::JT
LBTraits::JacobianType JT
Definition gridfunctionspaceutilities.hh:946
Dune::PDELab::VectorDiscreteGridFunctionGradient::VectorDiscreteGridFunctionGradient
VectorDiscreteGridFunctionGradient(const GFS &gfs, const X &x_)
Construct a VectorDiscreteGridFunctionGradient.
Definition gridfunctionspaceutilities.hh:953
Dune::PDELab::VectorDiscreteGridFunctionGradient::VectorDiscreteGridFunctionGradient
VectorDiscreteGridFunctionGradient(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a VectorDiscreteGridFunctionGradient.
Definition gridfunctionspaceutilities.hh:968
Dune::PDELab::VectorDiscreteGridFunctionGradient::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:1015
Dune::PDELab::VectorDiscreteGridFunctionGradient::LBTraits
ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits LBTraits
Definition gridfunctionspaceutilities.hh:943
Dune::PDELab::VectorDiscreteGridFunctionGradient::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:978
Dune::PDELab::SingleDerivativeComputationHelper
Helper class to compute a single derivative of scalar basis functions.
Definition gridfunctionspaceutilities.hh:1048
Dune::PDELab::SingleDerivativeComputationHelper::compute_derivative
static RF compute_derivative(const Mat &mat, const T &t, const unsigned int k)
Definition gridfunctionspaceutilities.hh:1054
Dune::PDELab::SingleDerivativeComputationHelper< Dune::FieldMatrix< RF, size, size >, RF, size >::compute_derivative
static RF compute_derivative(const Dune::FieldMatrix< RF, size, size > &mat, const T &t, const unsigned int k)
Definition gridfunctionspaceutilities.hh:1080
Dune::PDELab::SingleDerivativeComputationHelper< Dune::DiagonalMatrix< RF, size >, RF, size >::compute_derivative
static RF compute_derivative(const Dune::DiagonalMatrix< RF, size > &mat, const T &t, const unsigned int k)
Definition gridfunctionspaceutilities.hh:1104
Dune::PDELab::VectorDiscreteGridFunctionDiv
Compute divergence of vector-valued functions.
Definition gridfunctionspaceutilities.hh:1129
Dune::PDELab::VectorDiscreteGridFunctionDiv::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:1224
Dune::PDELab::VectorDiscreteGridFunctionDiv::RF
LBTraits::RangeFieldType RF
Definition gridfunctionspaceutilities.hh:1144
Dune::PDELab::VectorDiscreteGridFunctionDiv::VectorDiscreteGridFunctionDiv
VectorDiscreteGridFunctionDiv(const GFS &gfs, const X &x_)
Construct a VectorDiscreteGridFunctionDiv.
Definition gridfunctionspaceutilities.hh:1152
Dune::PDELab::VectorDiscreteGridFunctionDiv::Traits
BaseT::Traits Traits
Definition gridfunctionspaceutilities.hh:1140
Dune::PDELab::VectorDiscreteGridFunctionDiv::VectorDiscreteGridFunctionDiv
VectorDiscreteGridFunctionDiv(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a VectorDiscreteGridFunctionDiv.
Definition gridfunctionspaceutilities.hh:1169
Dune::PDELab::VectorDiscreteGridFunctionDiv::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:1181
Dune::PDELab::VectorDiscreteGridFunctionDiv::JT
LBTraits::JacobianType JT
Definition gridfunctionspaceutilities.hh:1145
Dune::PDELab::VectorDiscreteGridFunctionDiv::LBTraits
ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits LBTraits
Definition gridfunctionspaceutilities.hh:1142
Dune::PDELab::VectorDiscreteGridFunctionDiv::ChildType
T::template Child< 0 >::Type ChildType
Definition gridfunctionspaceutilities.hh:1141
Dune::PDELab::VectorDiscreteGridFunctionCurl
Compute curl of vector-valued functions.
Definition gridfunctionspaceutilities.hh:1257
Dune::PDELab::VectorDiscreteGridFunctionCurl::VectorDiscreteGridFunctionCurl
VectorDiscreteGridFunctionCurl(const GFS &gfs, const X &x)
Definition gridfunctionspaceutilities.hh:1261
Dune::PDELab::VectorDiscreteGridFunctionCurl::VectorDiscreteGridFunctionCurl
VectorDiscreteGridFunctionCurl(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Definition gridfunctionspaceutilities.hh:1267
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::RF
LBTraits::RangeFieldType RF
Definition gridfunctionspaceutilities.hh:1325
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::VectorDiscreteGridFunctionCurl
VectorDiscreteGridFunctionCurl(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a VectorDiscreteGridFunctionCurl.
Definition gridfunctionspaceutilities.hh:1350
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::ChildType
T::template Child< 0 >::Type ChildType
Definition gridfunctionspaceutilities.hh:1322
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::JT
LBTraits::JacobianType JT
Definition gridfunctionspaceutilities.hh:1326
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::VectorDiscreteGridFunctionCurl
VectorDiscreteGridFunctionCurl(const GFS &gfs, const X &x_)
Construct a VectorDiscreteGridFunctionCurl.
Definition gridfunctionspaceutilities.hh:1333
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:1422
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:1362
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::Traits
BaseT::Traits Traits
Definition gridfunctionspaceutilities.hh:1321
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 3 >::LBTraits
ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits LBTraits
Definition gridfunctionspaceutilities.hh:1323
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::Traits
BaseT::Traits Traits
Definition gridfunctionspaceutilities.hh:1471
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::VectorDiscreteGridFunctionCurl
VectorDiscreteGridFunctionCurl(std::shared_ptr< const GFS > gfs, std::shared_ptr< const X > x_)
Construct a VectorDiscreteGridFunctionCurl.
Definition gridfunctionspaceutilities.hh:1500
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::ChildType
T::template Child< 0 >::Type ChildType
Definition gridfunctionspaceutilities.hh:1472
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::getGridView
const Traits::GridViewType & getGridView() const
get a reference to the GridView
Definition gridfunctionspaceutilities.hh:1562
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::RF
LBTraits::RangeFieldType RF
Definition gridfunctionspaceutilities.hh:1475
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::LBTraits
ChildType::Traits::FiniteElementType::Traits::LocalBasisType::Traits LBTraits
Definition gridfunctionspaceutilities.hh:1473
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::evaluate
void evaluate(const typename Traits::ElementType &e, const typename Traits::DomainType &x, typename Traits::RangeType &y) const
Definition gridfunctionspaceutilities.hh:1512
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::VectorDiscreteGridFunctionCurl
VectorDiscreteGridFunctionCurl(const GFS &gfs, const X &x_)
Construct a VectorDiscreteGridFunctionCurl.
Definition gridfunctionspaceutilities.hh:1483
Dune::PDELab::VectorDiscreteGridFunctionCurl< T, X, 2 >::JT
LBTraits::JacobianType JT
Definition gridfunctionspaceutilities.hh:1476
Dune::PDELab::LFSIndexCacheBase::update
void update()
Definition lfsindexcache.hh:304
Dune::PDELab::LFSIndexCache
Definition lfsindexcache.hh:979
Dune::PDELab::LocalFunctionSpaceBaseNode::size
Traits::IndexContainer::size_type size() const
number of degrees of freedom contained in this lfs node
Definition localfunctionspace.hh:222
Dune::PDELab::LocalFunctionSpace
Create a local function space from a global function space.
Definition localfunctionspace.hh:754
std::abort
T abort(T... args)
std::vector::resize
T resize(T... args)
std::vector::size
T size(T... args)
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