ffc_11.h

Dolfin provide a high-performance linear algebra library

    
      }
      // Compute derivatives on reference element as dot product of coefficients and basisvalues
      derivatives[deriv_num] = new_coeff0_0*basisvalue0 + new_coeff0_1*basisvalue1 + new_coeff0_2*basisvalue2 + new_coeff0_3*basisvalue3 + new_coeff0_4*basisvalue4 + new_coeff0_5*basisvalue5 + new_coeff0_6*basisvalue6 + new_coeff0_7*basisvalue7 + new_coeff0_8*basisvalue8 + new_coeff0_9*basisvalue9;
    }
    
    // Transform derivatives back to physical element
    for (unsigned int row = 0; row < num_derivatives; row++)
    {
      for (unsigned int col = 0; col < num_derivatives; col++)
      {
        values[row] += transform[row][col]*derivatives[col];
      }
    }
    // Delete pointer to array of derivatives on FIAT element
    delete [] derivatives;
    
    // Delete pointer to array of combinations of derivatives
    delete [] combinations;
    
  }

  /// Evaluate linear functional for dof i on the function f
  virtual double evaluate_dof(unsigned int i,
                              const ufc::function& f,
                              const ufc::cell& c) const
  {
    double values[1];
    double coordinates[3];
    
    // Nodal coordinates on reference cell
    static double X[10][3] = {{0, 0, 0}, {0.5, 0, 0}, {1, 0, 0}, {0, 0.5, 0}, {0.5, 0.5, 0}, {0, 1, 0}, {0, 0, 0.5}, {0.5, 0, 0.5}, {0, 0.5, 0.5}, {0, 0, 1}};
    
    // Components for each dof
    static unsigned int components[10] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
    
    // Extract vertex coordinates
    const double * const * x = c.coordinates;
    
    // Evaluate basis functions for affine mapping
    const double w0 = 1.0 - X[i][0] - X[i][1] - X[i][2];
    const double w1 = X[i][0];
    const double w2 = X[i][1];
    const double w3 = X[i][2];
    
    // Compute affine mapping x = F(X)
    coordinates[0] = w0*x[0][0] + w1*x[1][0] + w2*x[2][0] + w3*x[3][0];
    coordinates[1] = w0*x[0][1] + w1*x[1][1] + w2*x[2][1] + w3*x[3][1];
    coordinates[2] = w0*x[0][2] + w1*x[1][2] + w2*x[2][2] + w3*x[3][2];
    
    // Evaluate function at coordinates
    f.evaluate(values, coordinates, c);
    
    // Pick component for evaluation
    return values[components[i]];
  }

  /// Interpolate vertex values from dof values
  virtual void interpolate_vertex_values(double* vertex_values,
                                         const double* dof_values,
                                         const ufc::cell& c) const
  {
    // Evaluate at vertices and use affine mapping
    vertex_values[0] = dof_values[0];
    vertex_values[1] = dof_values[2];
    vertex_values[2] = dof_values[5];
    vertex_values[3] = dof_values[9];
  }

  /// Return the number of sub elements (for a mixed element)
  virtual unsigned int num_sub_elements() const
  {
    return 1;
  }

  /// Create a new finite element for sub element i (for a mixed element)
  virtual ufc::finite_element* create_sub_element(unsigned int i) const
  {
    return new ffc_11_finite_element_0();
  }

};

/// This class defines the interface for a local-to-global mapping of
/// degrees of freedom (dofs).

class ffc_11_dof_map_0: public ufc::dof_map
{
private:

  unsigned int __global_dimension;

public:

  /// Constructor
  ffc_11_dof_map_0() : ufc::dof_map()
  {
    __global_dimension = 0;
  }

  /// Destructor
  virtual ~ffc_11_dof_map_0()
  {
    // Do nothing
  }

  /// Return a string identifying the dof map
  virtual const char* signature() const
  {
    return "FFC dof map for Discontinuous Lagrange finite element of degree 2 on a tetrahedron";
  }

  /// Return true iff mesh entities of topological dimension d are needed
  virtual bool needs_mesh_entities(unsigned int d) const
  {
    switch ( d )
    {
    case 0:
      return false;
      break;
    case 1:
      return false;
      break;
    case 2:
      return false;
      break;
    case 3:
      return true;
      break;
    }
    return false;
  }

  /// Initialize dof map for mesh (return true iff init_cell() is needed)
  virtual bool init_mesh(const ufc::mesh& m)
  {
    __global_dimension = 10*m.num_entities[3];
    return false;
  }

  /// Initialize dof map for given cell
  virtual void init_cell(const ufc::mesh& m,
                         const ufc::cell& c)
  {
    // Do nothing
  }

  /// Finish initialization of dof map for cells
  virtual void init_cell_finalize()
  {
    // Do nothing
  }

  /// Return the dimension of the global finite element function space
  virtual unsigned int global_dimension() const
  {
    return __global_dimension;
  }

  /// Return the dimension of the local finite element function space
  virtual unsigned int local_dimension() const
  {
    return 10;
  }

  /// Return the number of dofs on each cell facet
  virtual unsigned int num_facet_dofs() const
  {
    return 0;
  }

  /// Tabulate the local-to-global mapping of dofs on a cell
  virtual void tabulate_dofs(unsigned int* dofs,
                             const ufc::mesh& m,
                             const ufc::cell& c) const
  {
    dofs[0] = 10*c.entity_indices[3][0];
    dofs[1] = 10*c.entity_indices[3][0] + 1;
    dofs[2] = 10*c.entity_indices[3][0] + 2;
    dofs[3] = 10*c.entity_indices[3][0] + 3;
    dofs[4] = 10*c.entity_indices[3][0] + 4;
    dofs[5] = 10*c.entity_indices[3][0] + 5;
    dofs[6] = 10*c.entity_indices[3][0] + 6;
    dofs[7] = 10*c.entity_indices[3][0] + 7;
    dofs[8] = 10*c.entity_indices[3][0] + 8;
    dofs[9] = 10*c.entity_indices[3][0] + 9;
  }

  /// Tabulate the local-to-local mapping from facet dofs to cell dofs
  virtual void tabulate_facet_dofs(unsigned int* dofs,
                                   unsigned int facet) const
  {
    switch ( facet )
    {
    case 0:
      
      break;
    case 1:
      
      break;
    case 2:
      
      break;
    case 3:
      
      break;
    }
  }

  /// Tabulate the coordinates of all dofs on a cell
  virtual void tabulate_coordinates(double** coordinates,
                                    const ufc::cell& c) const
  {
    const double * const * x = c.coordinates;
    coordinates[0][0] = x[0][0];
    coordinates[0][1] = x[0][1];
    coordinates[0][2] = x[0][2];
    coordinates[1][0] = 0.5*x[0][0] + 0.5*x[1][0];
    coordinates[1][1] = 0.5*x[0][1] + 0.5*x[1][1];
    coordinates[1][2] = 0.5*x[0][2] + 0.5*x[1][2];
    coordinates[2][0] = x[1][0];
    coordinates[2][1] = x[1][1];
    coordinates[2][2] = x[1][2];
    coordinates[3][0] = 0.5*x[0][0] + 0.5*x[2][0];
    coordinates[3][1] = 0.5*x[0][1] + 0.5*x[2][1];
    coordinates[3][2] = 0.5*x[0][2] + 0.5*x[2][2];
    coordinates[4][0] = 0.5*x[1][0] + 0.5*x[2][0];
    coordinates[4][1] = 0.5*x[1][1] + 0.5*x[2][1];
    coordinates[4][2] = 0.5*x[1][2] + 0.5*x[2][2];
    coordinates[5][0] = x[2][0];
    coordinates[5][1] = x[2][1];
    coordinates[5][2] = x[2][2];
    coordinates[6][0] = 0.5*x[0][0] + 0.5*x[3][0];
    coordinates[6][1] = 0.5*x[0][1] + 0.5*x[3][1];
    coordinates[6][2] = 0.5*x[0][2] + 0.5*x[3][2];
    coordinates[7][0] = 0.5*x[1][0] + 0.5*x[3][0];
    coordinates[7][1] = 0.5*x[1][1] + 0.5*x[3][1];
    coordinates[7][2] = 0.5*x[1][2] + 0.5*x[3][2];
    coordinates[8][0] = 0.5*x[2][0] + 0.5*x[3][0];
    coordinates[8][1] = 0.5*x[2][1] + 0.5*x[3][1];
    coordinates[8][2] = 0.5*x[2][2] + 0.5*x[3][2];
    coordinates[9][0] = x[3][0];
    coordinates[9][1] = x[3][1];
    coordinates[9][2] = x[3][2];
  }

  /// Return the number of sub dof maps (for a mixed element)
  virtual unsigned int num_sub_dof_maps() const
  {
    return 1;
  }

  /// Create a new dof_map for sub dof map i (for a mixed element)
  virtual ufc::dof_map* create_sub_dof_map(unsigned int i) const
  {
    return new ffc_11_dof_map_0();
  }

};

#endif