NAME

       band - banded level set method (rheolef-7.2)

DESCRIPTION

       Let fh be a finite element function defined on a geometric domain Lambda. Then, the set of
       elements intersecting the zero level set is defined by {x in Lambda, fh(x) = 0} and is
       called a band. This class represents such a band: it is used for solving problems defined
       on a surface, when the surface itself is implicitly defined by a level_set(3) function.

ACESSORS

       Each side in the surface mesh, as returned by the level_set member function, is included
       into an element of the band mesh, as returned by the band member function. Moreover, in
       the distributed memory environment, this correspondence is on the same local memory, so
       local indexes can be used for this correspondence: it is provided by the sid_ie2bnd_ie
       member function.

TOPOLOGY AND DOMAINS

       For the direct resolution of systems posed on the band, the mesh returned by the band()
       member function provides some domains of vertices. The 'zero' vertex domain lists all
       vertices xi such that fh(xi)=0. The 'isolated' vertex domain lists all vertices xi such
       that fh(xi)!=0 and xi is contained by only one element K and all vertices xj!=xi of K
       satisfies fh(xj)=0. Others vertices of the band, separated by the zero and isolated ones,
       are organized by connected components: the n_connex_component member function returns its
       number. Corresponding vertex domains of the band are named 'cci' where i should be
       replaced by any number between 0 and n_connex_component-1, e.g. cc0, cc1, etc.

IMPLEMENTATION

       This documentation has been generated from file main/lib/band.h

       The band class is simply an alias to the band_basic class

       typedef band_basic<Float> band;

       The band_basic class provides an interface, via the smart_pointer(7) class family, to a
       mesh container:

       template <class T, class M = rheo_default_memory_model>
       class band_basic {
       public:

         typedef typename geo_basic<T,M>::size_type size_type;

       // allocators:

         band_basic();
         band_basic(const field_basic<T,M>& fh,
           const level_set_option& opt = level_set_option());

       // accessors:

         const geo_basic<T,M>& band() const { return _band; }
         const geo_basic<T,M>& level_set() const { return _gamma; }
         size_type sid_ie2bnd_ie (size_type sid_ie) const { return _sid_ie2bnd_ie [sid_ie]; }
         size_type n_connected_component() const { return _ncc; }

       };

AUTHOR

       Pierre  Saramito  <Pierre.Saramito@imag.fr>

COPYRIGHT

       Copyright   (C)  2000-2018  Pierre  Saramito  <Pierre.Saramito@imag.fr> GPLv3+: GNU GPL
       version 3 or later  <http://gnu.org/licenses/gpl.html>.  This  is  free  software:  you
       are free to change and redistribute it.  There is NO WARRANTY, to the extent permitted by
       law.