Rheolef  7.1
an efficient C++ finite element environment
transmission_error.cc
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1 #include "rheolef.h"
22 using namespace rheolef;
23 using namespace std;
24 size_t d;
26 Float 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 }
33 int 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 = 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
Definition: environment.h:115
T max_abs() const
Definition: field.h:731
double Float
see the Float page for the full documentation
Definition: Float.h:143
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
field_basic< T, M > eh
This file is part of Rheolef.
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:202
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef - reference manual
Definition: leveque.h:25
Float u(const point &x)
Float epsilon
size_t d
int main(int argc, char **argv)