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piecewise_polynomial_discontinuous_scalar_space.hpp
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20 
21 #ifndef bempp_piecewise_polynomial_discontinuous_scalar_space_hpp
22 #define bempp_piecewise_polynomial_discontinuous_scalar_space_hpp
23 
24 #include "../common/common.hpp"
25 #include "../common/types.hpp"
26 #include "../fiber/lagrange_scalar_basis.hpp"
27 
28 #include "scalar_space.hpp"
29 #include "dof_assignment_mode.hpp"
30 
31 #include <map>
32 #include <memory>
33 #include <tbb/mutex.h>
34 
35 namespace Bempp
36 {
37 
39 class GridSegment;
40 class GridView;
41 template <typename CoordinateType> class BoundingBox;
46 template <typename BasisFunctionType>
48  public ScalarSpace<BasisFunctionType>
49 {
50 public:
51  typedef typename Space<BasisFunctionType>::CoordinateType CoordinateType;
52  typedef typename Space<BasisFunctionType>::ComplexType ComplexType;
53 
54 
61  const shared_ptr<const Grid>& grid, int polynomialOrder);
85  const shared_ptr<const Grid>& grid,
86  int polynomialOrder,
87  const GridSegment& segment,
88  int dofMode = REFERENCE_POINT_ON_SEGMENT);
90 
91  virtual int domainDimension() const;
92  virtual int codomainDimension() const;
93 
94  virtual bool isBarycentric() const {
95  return false;
96  }
97 
98 
99  virtual bool spaceIsCompatible(const Space<BasisFunctionType>& other) const;
100 
101  virtual SpaceIdentifier spaceIdentifier() const {
102  return PIECEWISE_POLYNOMIAL_DISCONTINUOUS_SCALAR;
103  }
104 
105 
112  virtual ElementVariant elementVariant(const Entity<0>& element) const;
113  virtual void setElementVariant(const Entity<0>& element,
114  ElementVariant variant);
115 
117  const Entity<0>& element) const;
118 
119  virtual shared_ptr<const Space<BasisFunctionType> > discontinuousSpace(
120  const shared_ptr<const Space<BasisFunctionType> >& self) const;
121  virtual bool isDiscontinuous() const;
122 
123  virtual size_t globalDofCount() const;
124  virtual size_t flatLocalDofCount() const;
125  virtual void getGlobalDofs(const Entity<0>& element,
126  std::vector<GlobalDofIndex>& dofs) const;
127  virtual void global2localDofs(
128  const std::vector<GlobalDofIndex>& globalDofs,
129  std::vector<std::vector<LocalDof> >& localDofs) const;
130  virtual void flatLocal2localDofs(
131  const std::vector<FlatLocalDofIndex>& flatLocalDofs,
132  std::vector<LocalDof>& localDofs) const;
133 
134  virtual void getGlobalDofPositions(
135  std::vector<Point3D<CoordinateType> >& positions) const;
136  virtual void getFlatLocalDofPositions(
137  std::vector<Point3D<CoordinateType> >& positions) const;
138 
139  virtual void getGlobalDofBoundingBoxes(
140  std::vector<BoundingBox<CoordinateType> >& bboxes) const;
141  virtual void getFlatLocalDofBoundingBoxes(
142  std::vector<BoundingBox<CoordinateType> >& bboxes) const;
143 
144  virtual void getGlobalDofNormals(
145  std::vector<Point3D<CoordinateType> >& normals) const;
146  virtual void getFlatLocalDofNormals(
147  std::vector<Point3D<CoordinateType> >& normals) const;
148 
149  virtual void dumpClusterIds(
150  const char* fileName,
151  const std::vector<unsigned int>& clusterIdsOfGlobalDofs) const;
152  virtual void dumpClusterIdsEx(
153  const char* fileName,
154  const std::vector<unsigned int>& clusterIdsOfGlobalDofs,
155  DofType dofType) const;
156 
157 private:
158  void initialize(const GridSegment& segment,
159  int dofMode = REFERENCE_POINT_ON_SEGMENT);
160  void assignDofsImpl(const GridSegment& segment,
161  int dofMode = REFERENCE_POINT_ON_SEGMENT);
162 
163 private:
165  int m_polynomialOrder;
166  boost::scoped_ptr<Fiber::Shapeset<BasisFunctionType> > m_triangleShapeset;
167  std::auto_ptr<GridView> m_view;
168  std::vector<std::vector<GlobalDofIndex> > m_local2globalDofs;
169  std::vector<std::vector<LocalDof> > m_global2localDofs;
170  std::vector<LocalDof> m_flatLocal2localDofs;
171  size_t m_flatLocalDofCount;
172  std::vector<BoundingBox<CoordinateType> > m_globalDofBoundingBoxes;
174 };
175 
176 } // namespace Bempp
177 
178 #endif
virtual void getFlatLocalDofNormals(std::vector< Point3D< CoordinateType > > &normals) const
Retrieve the unit vectors normal to the grid at the positions of global degrees of freedom...
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:577
virtual void getGlobalDofBoundingBoxes(std::vector< BoundingBox< CoordinateType > > &bboxes) const
Retrieve bounding boxes of global degrees of freedom.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:553
Fiber::ScalarTraits< BasisFunctionType >::ComplexType ComplexType
Equivalent to std::complex&lt;CoordinateType&gt;.
Definition: space.hpp:93
virtual void getFlatLocalDofPositions(std::vector< Point3D< CoordinateType > > &positions) const
Retrieve the reference positions of local degrees of freedom ordered by their flat index...
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:546
virtual void flatLocal2localDofs(const std::vector< FlatLocalDofIndex > &flatLocalDofs, std::vector< LocalDof > &localDofs) const
Map flat indices of local degrees of freedom to local degrees of freedom.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:527
virtual bool spaceIsCompatible(const Space< BasisFunctionType > &other) const
Return true if other is compatible to this space, i.e. the global dofs of the two spaces agree with e...
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:142
virtual void dumpClusterIds(const char *fileName, const std::vector< unsigned int > &clusterIdsOfGlobalDofs) const
Write a VTK file showing the distribution of global or flat local degrees of freedom into clusters...
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:584
Base class for spaces of scalar-valued functions.
Definition: scalar_space.hpp:36
Function space.
Definition: assembled_potential_operator.hpp:35
virtual size_t globalDofCount() const
Number of global degrees of freedom.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:496
virtual void getGlobalDofNormals(std::vector< Point3D< CoordinateType > > &normals) const
Retrieve the unit vectors normal to the grid at the positions of global degrees of freedom...
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:568
virtual shared_ptr< const Space< BasisFunctionType > > discontinuousSpace(const shared_ptr< const Space< BasisFunctionType > > &self) const
Return a shared pointer to an appropriate counterpart to this space, with basis functions extending o...
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:190
virtual bool isBarycentric() const
Return true if space is based on a barycentric refinement.
Definition: piecewise_polynomial_discontinuous_scalar_space.hpp:94
Bounding box with a reference point.
Definition: bounding_box.hpp:13
virtual bool isDiscontinuous() const
Return true if each basis function of this space extends over only a single element, false otherwise.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:202
Space of discontinuous, piecewise polynomial scalar functions.
Definition: piecewise_polynomial_discontinuous_scalar_space.hpp:47
Fiber::ScalarTraits< BasisFunctionType >::RealType CoordinateType
Type used to represent coordinates.
Definition: space.hpp:91
virtual void setElementVariant(const Entity< 0 > &element, ElementVariant variant)
Set the variant of element element to variant.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:179
Collection of shape functions defined on a reference element.
Definition: default_local_assembler_for_operators_on_surfaces_utilities.hpp:34
virtual void getGlobalDofs(const Entity< 0 > &element, std::vector< GlobalDofIndex > &dofs) const
Map local degrees of freedom residing on an element to global degrees of freedom. ...
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:508
virtual int domainDimension() const
Dimension of the grid on which functions from this space are defined.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:118
virtual void dumpClusterIdsEx(const char *fileName, const std::vector< unsigned int > &clusterIdsOfGlobalDofs, DofType dofType) const
Write a VTK file showing the distribution of global or flat local degrees of freedom into clusters...
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:592
shared_ptr< const Grid > grid() const
Shared pointer to the grid on which the functions from this space are defined.
Definition: space.hpp:183
virtual void getFlatLocalDofBoundingBoxes(std::vector< BoundingBox< CoordinateType > > &bboxes) const
Retrieve bounding boxes of local degrees of freedom ordered by their flat index.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:561
Segment of a grid.
Definition: grid_segment.hpp:46
virtual size_t flatLocalDofCount() const
Total number of local degrees of freedom on all elements.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:502
virtual int codomainDimension() const
Dimension of the codomain of the functions.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:124
virtual ElementVariant elementVariant(const Entity< 0 > &element) const
Return the variant of element element.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:162
PiecewisePolynomialDiscontinuousScalarSpace(const shared_ptr< const Grid > &grid, int polynomialOrder)
Constructor.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:49
virtual const Fiber::Shapeset< BasisFunctionType > & shapeset(const Entity< 0 > &element) const
Reference to the shapeset attached to the specified element.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:131
virtual void getGlobalDofPositions(std::vector< Point3D< CoordinateType > > &positions) const
Retrieve the reference positions of global degrees of freedom.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:537
virtual void global2localDofs(const std::vector< GlobalDofIndex > &globalDofs, std::vector< std::vector< LocalDof > > &localDofs) const
Map global degrees of freedom to local degrees of freedom.
Definition: piecewise_polynomial_discontinuous_scalar_space.cpp:517
Abstract wrapper of an entity of codimension 0.
Definition: entity.hpp:81
virtual SpaceIdentifier spaceIdentifier() const
Return the identifier of the space.
Definition: piecewise_polynomial_discontinuous_scalar_space.hpp:101