1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
|
///
/// This file is part of Rheolef.
///
/// Copyright (C) 2000-2018 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
///
/// =========================================================================
#include "rheolef.h"
using namespace rheolef;
using namespace std;
struct phi {
Float operator() (const point& x) const { return exp(-sigma*x[0]); }
phi(Float sigma1) : sigma(sigma1) {}
Float sigma;
};
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
bool dump = (argc > 2);
Float sigma;
field phi_h;
din >> catchmark("sigma") >> sigma
>> catchmark("phi") >> phi_h;
size_t k = phi_h.get_space().degree();
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*k+1);
Float err_l2 = sqrt(integrate (phi_h.get_geo(), sqr(phi_h - phi(sigma)), iopt));
space Th1 (phi_h.get_geo(), "P"+to_string(k+1)+"d");
field eh = lazy_interpolate(Th1, phi_h - phi(sigma));
Float err_linf = eh.max_abs();
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl;
if (dump) {
dout << catchmark("phi_h") << phi_h
<< catchmark("phi") << lazy_interpolate(phi_h.get_space(), phi(sigma))
<< catchmark("e") << eh;
}
return (err_l2 < tol) ? 0 : 1;
}
|
