NAME

       basis - plot a finite element basis (rheolef-7.1)

SYNOPSIS

       basis name [element] [options]

DESCRIPTION

       View a finite element polynomial basis on a given reference element (see reference_element(6)).
       Alternatively, it could show the interpolation nodes.

EXAMPLES

         basis P5 t
         basis P5[warburton] t
         basis P5[warburton,monomial] t
         basis P3d[sides] t

         basis P3 t -node
         basis P5 t -node-side 0
         basis P5 t -node-side 1
         basis P3 T -node
         basis B7 t
         basis S7 t
         basis RT0 t
         basis RT3 t -node
         basis P3d[sides] T -node-side 1
         basis P3d        T -node-side 1

BASIS AND ELEMENT SPECIFICATIONS

       The basis name argument is specified as for the space and basis constructor class argument (see space(2)
       and basis(2)). The element argument is one of e, t, q, T, P, H (see reference_element(6)). The gnuplot
       render is used for visualization.

THE RAW BASIS

       -raw
       -fem

           A raw basis is used for computing the Vandermonde matrix and building the Lagrange basis. The raw
           basis is either monomial, Dubiner or Bernstein while Dubiner is the default. This raw basis is hiden
           by default: it is represented by using the -raw option while -fem switch back to the default finite
           element basis representation. When the basis family is either M, for monomial or D for Dubiner, there
           is no ambiguity, and the -raw option could be omitted. Conversely, when the basis family is B, for
           Bernstein, then, there is an ambiguity and this option should be used.

       Here is an example of raw basis visualization:

       basis M4 t
       basis D5 e
       basis B5 e -raw

       Here, the -raw option is used to disambiguate
        between the Bernstein basis as finite element basis and the Bernstein basis as a raw basis.

REDERING OPTIONS

       The basis command supports several modes of visualization:

       -ndof

           Print the basis size, i.e. the number of degrees of freedom (ndof).

       -poly

           Represents the polynomial functions in elevation, for 1D and 2D elements (3D elements visualization
           not yet supported). All basis polynomials are showed in an animation.

       -node

           Represents the node location, with distinct colors for each dimension associated to.

       -node-side

           Represents the node location, restricted on a specific side.

OTHERS OPTIONS

       -[no]verbose

           Print messages related to graphic files created and command system calls (this is the default).

       -[no]clean

           Clear temporary graphic files (this is the default).

       -[no]execute

           Execute graphic command (this is the default). The -noexecute variant is useful in conjunction with
           the -verbose and -noclean options in order to modify some render options by hand.

LIMITATIONS

       Polynomial visualization in 3D are not yet supported: future development will use paraview with volume
       mode and animation for scanning all basis polynomials.

IMPLEMENTATION

       This documentation has been generated from file fem/lib/basis.cc

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.