basis(7rheolef) [debian man page]

basis(7rheolef) 						    rheolef-6.1 						   basis(7rheolef)

NAME

       basis - polynomial basis

SYNOPSYS

       The basis class defines functions that evaluates a polynomial basis and its derivatives on a point. The polynomial basis is designated by a
       string, e.g. "P0", "P1", "P2", "bubble",...  indicating the basis. The basis depends also  of  the  reference  element:	triangle,  square,
       tetrahedron (see reference_element(2)).	For instance, on a square, the "P1" string designates the common Q1 four-nodes basis on the refer-
       ence square.

       The nodes associated to the Lagrange polynomial basis are also available by its associated accessor.

IMPLEMENTATION NOTE

       The basis class is a see smart_pointer(2)) class on a basis_rep class that is a pure virtual base class for effective bases, e.g. basis_P1,
       basis_P1, etc.

IMPLEMENTATION

       template<class T>
       class basis_basic : public smart_pointer<basis_rep<T> > {
       public:

       // typedefs:

	   typedef basis_rep<T> 			  rep;
	   typedef smart_pointer<rep>			  base;
	   typedef typename basis_rep<T>::size_type	  size_type;

       // allocators:

	   basis_basic (std::string name = "");

       // accessors:

	   std::string name() const;
	   size_type   degree() const;
	   size_type   size (reference_element hat_K) const;

	   void hat_node(
	       reference_element	      hat_K,
	       std::vector<point_basic<T> >&  hat_node) const;

	   void eval(
	       reference_element    hat_K,
	       const point_basic<T>&	     hat_x,
	       std::vector<T>&	values) const;

	   void grad_eval(
	       reference_element    hat_K,
	       const point_basic<T>&	     hat_x,
	       std::vector<point_basic<T> >&  values) const;
       };
       typedef basis_basic<Float> basis;

SEE ALSO

       reference_element(2), smart_pointer(2)

rheolef-6.1							    rheolef-6.1 						   basis(7rheolef)

domain_indirect(7rheolef)					    rheolef-6.1 					 domain_indirect(7rheolef)

NAME

       domain_indirect - a named part of a finite element mesh

DESCRIPTION

       The  domain_indirect  class  defines  a	container for a part of a finite element mesh.	This describes the connectivity of edges or faces.
       This class is usefull for boundary condition setting.

IMPLEMENTATION NOTE

       The domain class is splitted into two parts.  The first one is the domain_indirect class, that contains the main renumbering  features:	it
       acts  as  a  indirect  on  a  geo class(see geo(2)).  The second one is the domain class, that simply contains two smart_pointers: one on a
       domain_indirect and the second on the geo where renumbering is acting.  Thus, the domain class develops a complete geo-like interface,  via
       the  geo_abstract_rep  pure virtual class derivation, and can be used by the space class (see space(2)).  The split between domain_indirect
       and domain is necessary, because the geo class contains a list of domain_indirect.  It cannot contains  a  list	of  domain  classes,  that
       refers to the geo class itself: a loop in reference counting leads to a blocking situation in the automatic deallocation.

IMPLEMENTATION

       template <>
       class domain_indirect_basic<sequential> : public smart_pointer<domain_indirect_rep<sequential> > {
       public:

       // typedefs:

	   typedef domain_indirect_rep<sequential> rep;
	   typedef smart_pointer<rep>	     base;
	   typedef rep::size_type	     size_type;
	   typedef rep::iterator_ioige	     iterator_ioige;
	   typedef rep::const_iterator_ioige const_iterator_ioige;

       // allocators:

	   domain_indirect_basic ();

	   template <class T>
	   domain_indirect_basic (
	       const geo_basic<T,sequential>&  omega,
	       const std::string&	       name,
	       size_type		       map_dim,
	       const communicator&	       comm,
	       const std::vector<size_type>&   ie_list);

	   template <class U>
	   domain_indirect_basic (
	       array<geo_element_auto<heap_allocator<size_type> >,sequential, heap_allocator<size_type> >&
					       d_tmp,
	       const geo_basic<U, sequential>& omega,
	       std::vector<index_set>*	       ball);

	   void resize (size_type n);

       // accessors:

	   size_type size()	const;
	   size_type dis_size() const;
	   const distributor& ownership() const;

	   const_iterator_ioige ioige_begin() const;
	   const_iterator_ioige ioige_end()   const;
		 iterator_ioige ioige_begin();
		 iterator_ioige ioige_end();

	   const geo_element_indirect& oige (size_type ioige) const;

	   void set_name (std::string name);
	   void set_map_dimension (size_type map_dim);
	   std::string name ()	  const;
	   size_type map_dimension () const;

       // i/o:

	   odiststream& put (odiststream&) const;
	   template <class T>
	   idiststream& get (idiststream& ips, const geo_rep<T,sequential>& omega, std::vector<index_set> *ball);
       };

IMPLEMENTATION

       template <>
       class domain_indirect_basic<distributed> : public smart_pointer<domain_indirect_rep<distributed> > {
       public:

       // typedefs:

	   typedef domain_indirect_rep<distributed>  rep;
	   typedef smart_pointer<rep>		 base;
	   typedef rep::size_type		 size_type;

       // allocators:

	   domain_indirect_basic ();
	   template<class T>
	   domain_indirect_basic (
	       const geo_basic<T,distributed>& omega,
	       const std::string&	     name,
	       size_type		     map_dim,
	       const communicator&	     comm,
	       const std::vector<size_type>& ie_list);

       // accessors/modifiers:

	   size_type size()	const;
	   size_type dis_size() const;
	   const distributor& ownership() const;

	   const geo_element_indirect& oige (size_type ioige) const;

	   void set_name (std::string name);
	   void set_map_dimension (size_type map_dim);
	   std::string name () const;
	   size_type map_dimension () const;

       // distributed specific acessors:

	   const distributor& ini_ownership() const;
	   size_type ioige2ini_dis_ioige (size_type ioige) const;
	   size_type ini_ioige2dis_ioige (size_type ini_ioige) const;

       // i/o:

	   template <class T>
	   idiststream& get (idiststream& ips, const geo_rep<T,distributed>& omega);
	   template <class T>
	   odiststream& put (odiststream& ops, const geo_rep<T,distributed>& omega) const;
       };

SEE ALSO

       geo(2), space(2)

rheolef-6.1							    rheolef-6.1 					 domain_indirect(7rheolef)