Rheolef  7.2
an efficient C++ finite element environment
 
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sinusprod_error_hdg.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "sinusprod.h"
29#include "sinusprod_grad.h"
30int main(int argc, char**argv) {
31 environment rheolef(argc, argv);
32 Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
33 bool with_u = (argc <= 2) || argv[2] != string("-us");
34 bool with_sigma = ((argc <= 2) || argv[2] != string("-no-sigma")) && with_u;
35 field uh, lambda_h, sigma_h;
36 if (with_u) {
37 din >> catchmark("u") >> uh; // hdg or hho
38 } else {
39 din >> catchmark("us") >> uh; // hho
40 }
41 din >> catchmark("lambda") >> lambda_h;
42 if (with_sigma) {
43 din >> catchmark("sigma") >> sigma_h;
44 }
45 space Xh = uh.get_space();
46 geo omega = Xh.get_geo();
47 size_t k = Xh.degree();
48 size_t d = omega.dimension();
51 iopt.set_order(3*(k+1)+4);
52 Float err_u_l2 = sqrt(integrate (omega, sqr(uh-u_exact(d)), iopt));
53 string opts = Xh.get_basis().option().stamp();
54 space Xh1 (omega, "P"+to_string(k+1)+"d"+opts);
55 field euh = lazy_interpolate (Xh1, uh-u_exact(d));
56 Float err_u_linf = euh.max_abs();
57 Float err_u_h1 = sqrt(integrate (omega, norm2(grad_h(euh)), iopt)
58 + integrate (omega.sides(), (1/h_local())*sqr(jump(euh)), iopt));
59 derr << "err_u_l2 = " << err_u_l2 << endl
60 << "err_u_linf = " << err_u_linf << endl
61 << "err_u_h1 = " << err_u_h1 << endl;
62 if (with_sigma) {
63 Float err_sigma_l2 = sqrt(integrate (omega, norm2(sigma_h-grad_u(d)), iopt));
64 space Th1 (omega, "P"+to_string(k+1)+"d"+opts, "vector");
65 field esh = lazy_interpolate (Th1, sigma_h-grad_u(d));
66 Float err_sigma_linf = esh.max_abs();
67 derr << "err_sigma_l2 = " << err_sigma_l2 << endl
68 << "err_sigma_linf = " << err_sigma_linf << endl;
69 }
70 if (!lambda_h.get_space().get_basis().option().is_trace_n()) {
71 space Mh = lambda_h.get_space();
72 trial lambda(Mh); test mu(Mh);
73 form ms = integrate(lambda*mu);
74 field kh = integrate(u_exact(d)*mu, iopt);
75 field ph_lambda(Mh);
76 problem pms (ms);
77 pms.solve (kh, ph_lambda);
78 Float err_lambda_l2 = sqrt(integrate (omega["sides"], h_local()*sqr(lambda_h-ph_lambda), iopt));
79 derr << "err_lambda_l2 = " << err_lambda_l2 << endl;
80 }
81 return (err_u_linf <= err_linf_expected) ? 0 : 1;
82}
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 geo page for the full documentation
see the problem 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
see the test page for the full documentation
see the test page for the full documentation
int main()
Definition field2bb.cc:58
space_basic< T, M > Xh1
Definition field_expr.h:232
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
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::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_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
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
details::field_expr_v2_nonlinear_terminal_function< details::h_local_pseudo_function< Float > > h_local()
h_local: see the expression page for the full documentation
STL namespace.
rheolef - reference manual
The sinus product function.
The sinus product function – its gradient.