numbering(9)

NAME

numbering - global degree of freedom numbering

SYNOPSYS

The numbering class defines methods that furnish global numbering of degrees of freedom. This numbering depends upon the degrees of polynoms on elements and upon the continuity requirement at inter-element boundary. For instance the "P1" continuous finite element approximation has one degree of freedom per vertice of the mesh, while its discontinuous counterpart has dim(basis) times the number of elements of the mesh, where dim(basis) is the size of the local finite element basis.

IMPLEMENTATION

class numbering : public smart_pointer<numbering_rep> {
public:

// typedefs:
typedef size_t size_type;
// allocators:

numbering (std::string name = "");
numbering (numbering_rep* ptr);
virtual ~numbering() {}
// accessors:

std::string name() const;
virtual
size_type ndof (
size_type mesh_map_dimension,
const size_type* mesh_n_geo,
const size_type* mesh_n_element) const;
virtual
size_type idof (
const size_type* mesh_n_geo,
const size_type* mesh_n_element,
const geo_element& K,
size_type i_dof_local) const;
virtual
void idof (
const size_type* mesh_n_geo,
const size_type* mesh_n_element,
const geo_element& K,
std::vector<size_type>& i_dof) const;
// i/o:

void dump(std::ostream& out = std::cerr) const;
};
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