.\"
.de Id
..
.de Sp
.if n .sp
.if t .sp 0.4
..
.TH limiter 4rheolef "rheolef-7.0" "rheolef-7.0" "rheolef-7.0"
.\" label: /*Class:limiter
.SH NAME
\fBlimiter\fP - discontinuous Galerkin slope limiter
.SH SYNOPSIS

 field limiter (const field& uh, options...);
.SH DESCRIPTION

This function returns a slope limited field for any
supplied discontinuous approximation.
.\" begin_example
.Sp
.nf
        geo omega ("square");
        space Xh (omega, "P1d");
        field uh (Xh);
        ...
        field vh = limiter(uh);
.Sp
.fi
.\" end_example
This function is still in development as a prototype:
it supports only d=1 dimension and k=0 or 1 polynomial degrees.
Its generalization to 2D and 3D geometries and any polynomial
degree is in development.
.\" skip start:AUTHOR:
.\" skip start:DATE:
.\" END
.SH IMPLEMENTATION
.\" begin_example
.Sp
.nf
struct limiter_option_type {
  bool active;
  Float theta; // > 1, see Coc-1998, P. 209
  Float M;     // M=max|u''(t=0)(x)| at x where u'(t)(x)=0 :extremas
  limiter_option_type() : active(true), theta(1.5), M(1) {}
};
template <class T, class M>
field_basic<T,M>
limiter (
   const field_basic<T,M>& uh,
   const T&               bar_g_S = 1.0,
   const limiter_option_type& opt = limiter_option_type());
.Sp
.fi
.\" end_example
.SH 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.