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#ifndef _RHEO_D2_DS2_H
#define _RHEO_D2_DS2_H
///
/// This file is part of Rheolef.
///
/// Copyright (C) 2000-2009 Pierre Saramito <Pierre.Saramito@imag.fr>
///
/// Rheolef is free software; you can redistribute it and/or modify
/// it under the terms of the GNU General Public License as published by
/// the Free Software Foundation; either version 2 of the License, or
/// (at your option) any later version.
///
/// Rheolef is distributed in the hope that it will be useful,
/// but WITHOUT ANY WARRANTY; without even the implied warranty of
/// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
/// GNU General Public License for more details.
///
/// You should have received a copy of the GNU General Public License
/// along with Rheolef; if not, write to the Free Software
/// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
///
/// =========================================================================
/*Class:d_ds
NAME: @code{d2_ds2} -- Curvilinear second derivative
@bfindex d2_ds2
@apindex H3
@clindex domain
@clindex space
@cindex boundary conditions
SYNOPSIS:
@example
form(const space& V, const space& W, "d2_ds2");
@end example
DESCRIPTION:
@noindent
Assembly the matrix associated to the following integral:
@iftex
@tex
$$
m(u,v) = \int_\Gamma d^2 u/ds^2 v \, ds
$$
@end tex
@end iftex
@ifnottex
@example
/
|
m(u,v) = | d^2u/ds^2 v ds
|
/ Gamma
@end example
@end ifnottex
AUTHOR:
Laboratoire Interdisciplinaire de Physique, Grenoble--CNRS, 38402 St-Martin-d'Heres cedex, France
| Jocelyn.Etienne@ujf-grenoble.fr
DATE:
18 November 2010
End:
*/
#include "rheolef/form_element_rep.h"
namespace rheolef {
class d2_ds2: public form_element_rep {
public:
// allocator:
d2_ds2() : form_element_rep() {}
// virtual accessor:
void operator() (const geo_element& K, ublas::matrix<Float>& m) const;
void check_after_initialize () const;
};
}// namespace rheolef
#endif // _RHEO_D2_DS2_H
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