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piecewise_constant_discontinuous_scalar_space_barycentric.hpp
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20 
21 #ifndef piecewise_constant_discontinuous_scalar_space_barycentric_hpp
22 #define piecewise_constant_discontinuous_scalar_space_barycentric_hpp
23 
24 #include "../common/common.hpp"
25 
26 #include "../grid/grid_view.hpp"
27 #include "scalar_space.hpp"
28 #include "../common/types.hpp"
29 #include "../fiber/constant_scalar_shapeset.hpp"
30 #include "../grid/grid_segment.hpp"
31 
32 #include <map>
33 #include <memory>
34 
35 namespace Bempp
36 {
37 
39 class GridView;
44 template <typename BasisFunctionType>
46 {
47 public:
48  typedef typename ScalarSpace<BasisFunctionType>::CoordinateType CoordinateType;
49 
61  explicit PiecewiseConstantDiscontinuousScalarSpaceBarycentric(const shared_ptr<const Grid>& grid);
62 
70  PiecewiseConstantDiscontinuousScalarSpaceBarycentric(const shared_ptr<const Grid>& grid,
71  const GridSegment& segment);
72 
73  virtual shared_ptr<const Space<BasisFunctionType> > discontinuousSpace(
74  const shared_ptr<const Space<BasisFunctionType> >& self) const;
75  virtual bool isDiscontinuous() const;
76 
77  virtual bool isBarycentric() const {
78  return true;
79  }
80 
81  shared_ptr<const Space<BasisFunctionType> > barycentricSpace(
82  const shared_ptr<const Space<BasisFunctionType> >& self) const;
83 
84 
85 
86  virtual int domainDimension() const;
87  virtual int codomainDimension() const;
88 
95  virtual ElementVariant elementVariant(const Entity<0>& element) const;
96  virtual void setElementVariant(const Entity<0>& element,
97  ElementVariant variant);
98 
100  const Entity<0>& element) const;
101 
102  virtual bool spaceIsCompatible(const Space<BasisFunctionType>& other) const;
103 
104  virtual SpaceIdentifier spaceIdentifier() const {
105  return PIECEWISE_CONSTANT_DISCONTINUOUS_SCALAR_BARYCENTRIC;
106  }
107 
108  virtual size_t globalDofCount() const;
109  virtual size_t flatLocalDofCount() const;
110  virtual void getGlobalDofs(const Entity<0>& element,
111  std::vector<GlobalDofIndex>& dofs) const;
112  virtual void global2localDofs(
113  const std::vector<GlobalDofIndex>& globalDofs,
114  std::vector<std::vector<LocalDof> >& localDofs) const;
115  virtual void flatLocal2localDofs(
116  const std::vector<FlatLocalDofIndex>& globalDofs,
117  std::vector<LocalDof>& localDofs) const;
118 
119  virtual void getGlobalDofInterpolationPoints(
120  arma::Mat<CoordinateType>& points) const;
122  arma::Mat<CoordinateType>& normals) const;
123 
124  virtual void getGlobalDofPositions(
125  std::vector<Point3D<CoordinateType> >& positions) const;
126  virtual void getFlatLocalDofPositions(
127  std::vector<Point3D<CoordinateType> >& positions) const;
128 
129  virtual void getGlobalDofBoundingBoxes(
130  std::vector<BoundingBox<CoordinateType> >& bboxes) const;
131  virtual void getFlatLocalDofBoundingBoxes(
132  std::vector<BoundingBox<CoordinateType> >& bboxes) const;
133 
134  virtual void getGlobalDofNormals(
135  std::vector<Point3D<CoordinateType> >& normals) const;
136  virtual void getFlatLocalDofNormals(
137  std::vector<Point3D<CoordinateType> >& normals) const;
138 
139  virtual void dumpClusterIds(
140  const char* fileName,
141  const std::vector<unsigned int>& clusterIdsOfGlobalDofs) const;
142  virtual void dumpClusterIdsEx(
143  const char* fileName,
144  const std::vector<unsigned int>& clusterIdsOfGlobalDofs,
145  DofType dofType) const;
146 
147 private:
148  void assignDofsImpl(const GridSegment& segment);
149 
150 private:
152  std::vector<std::vector<GlobalDofIndex> > m_local2globalDofs;
153  std::vector<std::vector<LocalDof> > m_global2localDofs;
154  std::vector<LocalDof> m_flatLocal2localDofs;
155  GridSegment m_segment;
156 
157 
158 };
159 
160 } // namespace Bempp
161 
162 #endif
virtual bool isBarycentric() const
Return true if space is based on a barycentric refinement.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.hpp:77
virtual void getNormalsAtGlobalDofInterpolationPoints(arma::Mat< CoordinateType > &normals) const
Retrieve the unit vectors normal to the grid at the interpolation points of the global degrees of fre...
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:268
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_constant_discontinuous_scalar_space_barycentric.cpp:114
Base class for spaces of scalar-valued functions.
Definition: scalar_space.hpp:36
Function space.
Definition: assembled_potential_operator.hpp:35
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_constant_discontinuous_scalar_space_barycentric.cpp:316
PiecewiseConstantDiscontinuousScalarSpaceBarycentric(const shared_ptr< const Grid > &grid)
Constructor.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:43
virtual int domainDimension() const
Dimension of the grid on which functions from this space are defined.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:80
virtual SpaceIdentifier spaceIdentifier() const
Return the identifier of the space.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.hpp:104
Space of piecewise constant scalar functions.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.hpp:45
virtual bool isDiscontinuous() const
Return true if each basis function of this space extends over only a single element, false otherwise.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:74
virtual size_t globalDofCount() const
Number of global degrees of freedom.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:217
Bounding box with a reference point.
Definition: bounding_box.hpp:13
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_constant_discontinuous_scalar_space_barycentric.cpp:229
virtual const Fiber::Shapeset< BasisFunctionType > & shapeset(const Entity< 0 > &element) const
Reference to the shapeset attached to the specified element.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:93
shared_ptr< const Space< BasisFunctionType > > barycentricSpace(const shared_ptr< const Space< BasisFunctionType > > &self) const
Return an equivalent space (in terms of global Dofs), but defined using local dofs on the barycentric...
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:128
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_constant_discontinuous_scalar_space_barycentric.cpp:375
virtual size_t flatLocalDofCount() const
Total number of local degrees of freedom on all elements.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:223
Collection of shape functions defined on a reference element.
Definition: default_local_assembler_for_operators_on_surfaces_utilities.hpp:34
virtual void getGlobalDofBoundingBoxes(std::vector< BoundingBox< CoordinateType > > &bboxes) const
Retrieve bounding boxes of global degrees of freedom.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:300
virtual void getFlatLocalDofBoundingBoxes(std::vector< BoundingBox< CoordinateType > > &bboxes) const
Retrieve bounding boxes of local degrees of freedom ordered by their flat index.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:309
virtual ElementVariant elementVariant(const Entity< 0 > &element) const
Return the variant of element element.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:100
virtual void getGlobalDofInterpolationPoints(arma::Mat< CoordinateType > &points) const
Retrieve the interpolation points of the global degrees of freedom.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:259
shared_ptr< const Grid > grid() const
Shared pointer to the grid on which the functions from this space are defined.
Definition: space.hpp:183
Segment of a grid.
Definition: grid_segment.hpp:46
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_constant_discontinuous_scalar_space_barycentric.cpp:325
virtual int codomainDimension() const
Dimension of the codomain of the functions.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:86
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_constant_discontinuous_scalar_space_barycentric.cpp:62
virtual void setElementVariant(const Entity< 0 > &element, ElementVariant variant)
Set the variant of element element to variant.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:140
Abstract wrapper of an entity of codimension 0.
Definition: entity.hpp:81
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_constant_discontinuous_scalar_space_barycentric.cpp:367
virtual void getGlobalDofPositions(std::vector< Point3D< CoordinateType > > &positions) const
Retrieve the reference positions of global degrees of freedom.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:276
virtual void flatLocal2localDofs(const std::vector< FlatLocalDofIndex > &globalDofs, std::vector< LocalDof > &localDofs) const
Map flat indices of local degrees of freedom to local degrees of freedom.
Definition: piecewise_constant_discontinuous_scalar_space_barycentric.cpp:248
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_constant_discontinuous_scalar_space_barycentric.cpp:288
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_constant_discontinuous_scalar_space_barycentric.cpp:238