NAME

       basis - plot a finite element basis (rheolef-7.2)

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 'trace(P3d)' 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 'trace_n(RT5d)' t -node
         basis P3d T -node-side 1
         basis 'trace_n(RT5d)' 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.