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piecewise_polynomial_continuous_scalar_space.hpp
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20 
21 #ifndef bempp_piecewise_polynomial_continuous_scalar_space_hpp
22 #define bempp_piecewise_polynomial_continuous_scalar_space_hpp
23 
24 #include "../common/common.hpp"
25 #include "../common/types.hpp"
26 #include "../grid/grid_segment.hpp"
27 
28 #include "scalar_space.hpp"
29 
30 #include <map>
31 #include <memory>
32 #include <tbb/mutex.h>
33 
34 namespace Bempp
35 {
36 
38 class GridView;
39 template <typename CoordinateType> class BoundingBox;
44 template <typename BasisFunctionType>
46  public ScalarSpace<BasisFunctionType>
47 {
48 public:
49  typedef typename Space<BasisFunctionType>::CoordinateType CoordinateType;
50  typedef typename Space<BasisFunctionType>::ComplexType ComplexType;
51 
58  const shared_ptr<const Grid>& grid,
59  int polynomialOrder);
60 
79  const shared_ptr<const Grid>& grid,
80  int polynomialOrder,
81  const GridSegment& segment,
82  bool strictlyOnSegment = false);
84 
85  virtual int domainDimension() const;
86  virtual int codomainDimension() const;
87 
88  virtual bool isBarycentric() const {
89  return false;
90  }
91 
92  virtual bool spaceIsCompatible(const Space<BasisFunctionType>& other) const;
93 
94  virtual SpaceIdentifier spaceIdentifier() const {
95  return PIECEWISE_POLYNOMIAL_CONTINUOUS_SCALAR;
96  }
97 
98 
105  virtual ElementVariant elementVariant(const Entity<0>& element) const;
106  virtual void setElementVariant(const Entity<0>& element,
107  ElementVariant variant);
108 
110  const Entity<0>& element) const;
111 
112  virtual shared_ptr<const Space<BasisFunctionType> > discontinuousSpace(
113  const shared_ptr<const Space<BasisFunctionType> >& self) const;
114  virtual bool isDiscontinuous() const;
115 
116  virtual size_t globalDofCount() const;
117  virtual size_t flatLocalDofCount() const;
118  virtual void getGlobalDofs(const Entity<0>& element,
119  std::vector<GlobalDofIndex>& dofs) const;
120  virtual void global2localDofs(
121  const std::vector<GlobalDofIndex>& globalDofs,
122  std::vector<std::vector<LocalDof> >& localDofs) const;
123  virtual void flatLocal2localDofs(
124  const std::vector<FlatLocalDofIndex>& flatLocalDofs,
125  std::vector<LocalDof>& localDofs) const;
126 
127  virtual void getGlobalDofPositions(
128  std::vector<Point3D<CoordinateType> >& positions) const;
129  virtual void getFlatLocalDofPositions(
130  std::vector<Point3D<CoordinateType> >& positions) const;
131 
132  virtual void getGlobalDofBoundingBoxes(
133  std::vector<BoundingBox<CoordinateType> >& bboxes) const;
134  virtual void getFlatLocalDofBoundingBoxes(
135  std::vector<BoundingBox<CoordinateType> >& bboxes) const;
136 
137  virtual void getGlobalDofNormals(
138  std::vector<Point3D<CoordinateType> >& normals) const;
139  virtual void getFlatLocalDofNormals(
140  std::vector<Point3D<CoordinateType> >& normals) const;
141 
142  virtual void dumpClusterIds(
143  const char* fileName,
144  const std::vector<unsigned int>& clusterIdsOfGlobalDofs) const;
145  virtual void dumpClusterIdsEx(
146  const char* fileName,
147  const std::vector<unsigned int>& clusterIdsOfGlobalDofs,
148  DofType dofType) const;
149 
150 private:
151  void initialize();
152  void assignDofsImpl();
153 
154 private:
156  int m_polynomialOrder;
157  GridSegment m_segment;
158  bool m_strictlyOnSegment;
159  boost::scoped_ptr<Fiber::Shapeset<BasisFunctionType> > m_triangleShapeset;
160  std::auto_ptr<GridView> m_view;
161  std::vector<std::vector<GlobalDofIndex> > m_local2globalDofs;
162  std::vector<std::vector<LocalDof> > m_global2localDofs;
163  std::vector<LocalDof> m_flatLocal2localDofs;
164  size_t m_flatLocalDofCount;
165  std::vector<BoundingBox<CoordinateType> > m_globalDofBoundingBoxes;
166  mutable shared_ptr<Space<BasisFunctionType> > m_discontinuousSpace;
167  mutable tbb::mutex m_discontinuousSpaceMutex;
169 };
170 
171 } // namespace Bempp
172 
173 #endif
virtual size_t flatLocalDofCount() const
Total number of local degrees of freedom on all elements.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:598
virtual void getGlobalDofBoundingBoxes(std::vector< BoundingBox< CoordinateType > > &bboxes) const
Retrieve bounding boxes of global degrees of freedom.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:650
Fiber::ScalarTraits< BasisFunctionType >::ComplexType ComplexType
Equivalent to std::complex&lt;CoordinateType&gt;.
Definition: space.hpp:93
virtual bool isDiscontinuous() const
Return true if each basis function of this space extends over only a single element, false otherwise.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:206
virtual const Fiber::Shapeset< BasisFunctionType > & shapeset(const Entity< 0 > &element) const
Reference to the shapeset attached to the specified element.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:151
virtual void getGlobalDofPositions(std::vector< Point3D< CoordinateType > > &positions) const
Retrieve the reference positions of global degrees of freedom.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:633
Base class for spaces of scalar-valued functions.
Definition: scalar_space.hpp:36
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_continuous_scalar_space.cpp:642
Function space.
Definition: assembled_potential_operator.hpp:35
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_continuous_scalar_space.cpp:691
virtual bool isBarycentric() const
Return true if space is based on a barycentric refinement.
Definition: piecewise_polynomial_continuous_scalar_space.hpp:88
virtual void setElementVariant(const Entity< 0 > &element, ElementVariant variant)
Set the variant of element element to variant.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:178
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_continuous_scalar_space.cpp:683
Bounding box with a reference point.
Definition: bounding_box.hpp:13
Space of continuous, piecewise polynomial scalar functions.
Definition: piecewise_polynomial_continuous_scalar_space.hpp:45
Fiber::ScalarTraits< BasisFunctionType >::RealType CoordinateType
Type used to represent coordinates.
Definition: space.hpp:91
virtual ElementVariant elementVariant(const Entity< 0 > &element) const
Return the variant of element element.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:161
virtual int domainDimension() const
Dimension of the grid on which functions from this space are defined.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:138
Collection of shape functions defined on a reference element.
Definition: default_local_assembler_for_operators_on_surfaces_utilities.hpp:34
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_continuous_scalar_space.cpp:675
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_continuous_scalar_space.cpp:62
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_continuous_scalar_space.cpp:658
virtual int codomainDimension() const
Dimension of the codomain of the functions.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:144
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 size_t globalDofCount() const
Number of global degrees of freedom.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:592
Segment of a grid.
Definition: grid_segment.hpp:46
PiecewisePolynomialContinuousScalarSpace(const shared_ptr< const Grid > &grid, int polynomialOrder)
Constructor.
Definition: piecewise_polynomial_continuous_scalar_space.cpp:51
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_continuous_scalar_space.cpp:189
virtual SpaceIdentifier spaceIdentifier() const
Return the identifier of the space.
Definition: piecewise_polynomial_continuous_scalar_space.hpp:94
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_continuous_scalar_space.cpp:623
Abstract wrapper of an entity of codimension 0.
Definition: entity.hpp:81
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_continuous_scalar_space.cpp:604
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_continuous_scalar_space.cpp:666
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_continuous_scalar_space.cpp:613