Rheolef  7.2
an efficient C++ finite element environment
 
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laplace_band_error.cc
Go to the documentation of this file.
1
21#include "rheolef.h"
22using namespace std;
23using namespace rheolef;
24#include "torus.icc"
25int main (int argc, char**argv) {
26 environment rheolef (argc, argv);
27 Float tol = (argc > 1) ? atof(argv[1]) : 1e-7;
28 bool do_dump = (argc > 2) ? true : false;
29 field phi_h;
30 din >> catchmark("phi") >> phi_h;
31 const space& Xh = phi_h.get_space();
32 band gamma_h (phi_h);
33 space Bh (gamma_h.band(), "P1");
34 field uh(Bh);
35 din >> catchmark("u") >> uh;
36 trial u (Bh); test v (Bh);
37 form m = lazy_integrate (gamma_h, u*v);
38 form a = lazy_integrate (gamma_h, dot(grad_s(u),grad_s(v)));
39 size_t d = Bh.get_geo().dimension();
40 field pi_h_u = lazy_interpolate(Bh, u_exact(d));
41 field eh = pi_h_u - uh;
42 field phi_h_band = phi_h [gamma_h.band()];
43 Float c1 = m(eh,phi_h_band)/m(phi_h_band,phi_h_band);
44 field one (Bh, 1);
45 Float meas_gamma = m(one,one);
46 Float c2 = m(one,eh)/meas_gamma;
47 eh = eh - c1*phi_h_band - c2*one;
48 Float err_l2 = sqrt(m(eh,eh));
49 Float err_h1 = sqrt(a(eh,eh));
50 derr << "err_l2 = " << err_l2 << endl
51 << "err_h1 = " << err_h1 << endl;
52 if (do_dump) {
53 dout << catchmark ("u") << uh
54 << catchmark ("ue") << pi_h_u
55 << catchmark ("eh") << eh;
56 }
57 return (err_l2 < tol && err_h1 < tol) ? 0 : 1;
58}
see the Float page for the full documentation
see the band page for the full documentation
see the field page for the full documentation
see the form 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.
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_s(const Expr &expr)
grad_s(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
std::enable_if< details::is_field_expr_quadrature_arg< Expr >::value, details::field_lazy_terminal_integrate< Expr > >::type lazy_integrate(const typename Expr::geo_type &domain, const Expr &expr, const integrate_option &iopt=integrate_option())
see the integrate page for the full documentation
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
STL namespace.
rheolef - reference manual
Definition leveque.h:25
The torus benchmark – level set, right-hand-side and exact solution.