Rheolef  7.2
an efficient C++ finite element environment
 
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mosolov_error.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
29int main(int argc, char**argv) {
30 environment rheolef (argc,argv);
31 Float tol_u = (argc > 1) ? atof(argv[1]) : 1e-15;
32 Float tol_s = (argc > 2) ? atof(argv[2]) : 1e-15;
33 Float Bi, n;
34 field sigma_h, uh;
35 din >> catchmark("Bi") >> Bi
36 >> catchmark("n") >> n
37 >> catchmark("sigma") >> sigma_h
38 >> catchmark("u") >> uh;
39 const geo& omega = uh.get_geo();
40 Float meas_omega = integrate(uh.get_geo());
41 geo boundary = omega["boundary"];
42 const space& Xh = uh.get_space();
43 const space& Th = sigma_h.get_space();
46 iopt.set_order(3*Xh.degree());
47 Float err_u_l2 = sqrt(integrate (omega, sqr(uh - u(Bi,n)), iopt)/meas_omega);
48 Float err_u_h1 = sqrt(integrate (omega, norm2(grad(uh) - grad_u(Bi,n)), iopt)/meas_omega);
49 Float err_s_l2 = sqrt(integrate (omega, norm2(sigma_h - sigma(Bi,n)), iopt)/meas_omega);
50 space Xh1 (omega, "P" + to_string(2*Xh.degree()));
51 space Th1 (omega, "P" + to_string(2*Xh.degree()) + "d", "vector");
52 field euh = lazy_interpolate (Xh1, uh - u(Bi,n));
53 field esh = lazy_interpolate (Th1, sigma_h - sigma(Bi,n));
54 Float err_u_linf = euh.max_abs();
55 Float err_s_linf = esh.max_abs();
56 dout << "err_u_linf = " << err_u_linf << endl
57 << "err_u_l2 = " << err_u_l2 << endl
58 << "err_u_h1 = " << err_u_h1 << endl
59 << "err_s_linf = " << err_s_linf << endl
60 << "err_s_l2 = " << err_s_l2 << endl;
61 return (err_u_linf < tol_u) && (err_s_l2 < tol_s) ? 0 : 1;
62}
see the Float page for the full documentation
see the field page for the full documentation
see the geo 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 integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
int main()
Definition field2bb.cc:58
space_basic< T, M > Xh1
Definition field_expr.h:232
The Mossolov problem for a circular pipe – exact solution.
This file is part of Rheolef.
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::gradient > >::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
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
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition vec.h:379
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