Rheolef  7.2
an efficient C++ finite element environment
 
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transmission_error.cc
Go to the documentation of this file.
1
21#include "rheolef.h"
22using namespace rheolef;
23using namespace std;
24size_t d;
26Float u (const point& x) {
27 Float x0 = (d <= 2) ? x[0] : x[1];
28 if (x0 < Float(0.5))
29 return x0*((1+3*epsilon)/(2*(1+epsilon)) - x0)/(2*epsilon);
30 else
31 return (1-x0)*(x0 + (1-epsilon)/(2*(1+epsilon)))/2;
32}
33int main(int argc, char**argv) {
34 environment rheolef (argc, argv);
35 Float error_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
36 field uh;
37 din >> catchmark("epsilon") >> epsilon
38 >> catchmark("u") >> uh;
39 d = uh.get_geo().dimension();
40 space Xh = uh.get_space();
41 field pi_h_u = lazy_interpolate(Xh, u);
42 field eh = pi_h_u - uh;
43 trial u (Xh); test v (Xh);
44 form m = integrate (u*v);
45 derr << "error_linf " << eh.max_abs() << endl
46 << "error_l2 " << sqrt(m(eh,eh)) << endl;
47 return (eh.max_abs() < error_linf_expected) ? 0 : 1;
48}
see the Float page for the full documentation
see the field page for the full documentation
see the form page for the full documentation
see the point page for the full documentation
see the catchmark page for the full documentation
Definition catchmark.h:67
see the environment page for the full documentation
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
field_basic< T, M > lazy_interpolate(const space_basic< T, M > &X2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition field.h:871
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&!is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition integrate.h:211
STL namespace.
rheolef - reference manual
Definition leveque.h:25
Float epsilon
size_t d