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convect_hdg_error.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "rotating-hill-statio.h"
int main (int argc, char **argv) {
environment rheolef (argc,argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e+38;
bool dump = (argc > 2);
Float nu;
field phi_h;
din >> catchmark("nu") >> nu
>> catchmark("phi") >> phi_h;
space Xh = phi_h.get_space();
geo omega = phi_h.get_geo();
size_t d = Xh.get_geo().dimension();
size_t k = Xh.degree();
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*k+1);
Float err_l2 = sqrt(integrate (omega, sqr(phi_h-phi(d,nu)), iopt));
basis b1 = Xh.get_basis();
b1.reset_family_index (k+1);
space Xh1 (omega, b1);
field eh = lazy_interpolate (Xh1, phi_h-phi(d,nu));
Float err_linf = eh.max_abs();
Float err_h1 = sqrt(integrate (omega, norm2(grad_h(eh)), iopt)
+ integrate (omega.sides(), (1/h_local())*sqr(jump(eh)), iopt));
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl
<< "err_h1 = " << err_h1 << endl;
if (dump) {
field pi_h_phi = lazy_interpolate (Xh, phi(d,nu));
dout << catchmark("phi") << phi_h
<< catchmark("phi_e") << pi_h_phi;
}
return (err_linf <= tol) ? 0 : 1;
}
Float
see the Float page for the full documentation
basis
see the basis page for the full documentation
field
see the field page for the full documentation
geo
see the geo page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition integrate_option.h:125
rheolef::integrate_option::gauss
@ gauss
Definition integrate_option.h:132
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition integrate_option.h:260
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition integrate_option.h:254
space
see the space page for the full documentation
main
int main()
Definition field2bb.cc:58
Xh1
space_basic< T, M > Xh1
Definition field_expr.h:232
dump
verbose clean transpose logscale grid shrink ball stereo iso volume skipvtk deformation fastfieldload lattice reader_on_stdin color format format format format format format format format format format format format format format format format format format dump
Definition iorheo-members.h:119
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
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::norm2
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition vec.h:379
rheolef::grad_h
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
Definition field_expr_terminal.h:968
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::h_local
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
Definition field_expr_terminal.h:520
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
rotating-hill-statio.h
nu
Definition nu.h:26
phi
Definition phi.h:25