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helmholtz_s_error.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace std;
using namespace rheolef;
#include "sphere.icc"
int main (int argc, char**argv) {
environment rheolef(argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh; din >> uh;
const space& Wh = uh.get_space();
trial u (Wh); test v (Wh);
form m = integrate (u*v);
form a = integrate (dot(grad_s(u),grad_s(v)));
size_t d = Wh.get_geo().dimension();
field pi_h_u = lazy_interpolate(Wh, u_exact(d));
field eh = uh - pi_h_u;
dout << "err_l2 " << sqrt(m(eh,eh)) << endl
<< "err_h1 " << sqrt(a(eh,eh)) << endl
<< "err_linf " << eh.max_abs() << endl;
return (eh.max_abs() < tol) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
u
point u(const point &x)
Definition diffusion_transport_tensor_exact.icc:25
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::grad_s
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
Definition field_expr_terminal.h:948
rheolef::lazy_interpolate
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
rheolef::integrate
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
rheolef::dot
rheolef::std::enable_if< details::is_vec_expr_v2_arg< Expr1 >::value &&details::is_vec_expr_v2_arg< Expr2 >::value, promote< Expr1::float_type, Expr2::float_type >::type > type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
Definition vec_expr_v2.h:415
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
sphere.icc
The level set function for the sphere geometry.
u
Definition leveque.h:25
u_exact
g u_exact
Definition taylor_exact.h:26