Rheolef  7.2
an efficient C++ finite element environment
 
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p_laplacian_error.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "p_laplacian_circle.h"
29int main(int argc, char**argv) {
30 environment rheolef (argc,argv);
31 Float tol = (argc > 1) ? atof(argv[1]) : 1e-15;
32 Float p;
33 field uh;
34 din >> catchmark("p") >> p
35 >> catchmark("u") >> uh;
36 const geo& omega = uh.get_geo();
37 const space& Xh = uh.get_space();
38 field pi_h_u = lazy_interpolate (Xh, u_exact(p));
39 field eh = pi_h_u - uh;
42 iopt.set_order(2*Xh.degree());
43 Float err_lp = pow(integrate (omega,
44 pow(fabs(uh - u_exact(p)), p), iopt), 1./p);
45 Float err_w1p = pow(integrate (omega,
46 pow(norm(grad(uh) - grad_u(p)), p), iopt), 1./p);
47 Float err_linf = eh.max_abs();
48 dout << "err_linf = " << err_linf << endl
49 << "err_lp = " << err_lp << endl
50 << "err_w1p = " << err_w1p << endl;
51 return (err_linf < tol) ? 0 : 1;
52}
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
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
space_mult_list< T, M > pow(const space_basic< T, M > &X, size_t n)
Definition space_mult.h:120
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
T norm(const vec< T, M > &x)
norm(x): see the expression page for the full documentation
Definition vec.h:387
STL namespace.
The p-Laplacian problem on a circular geometry – exact solution.
rheolef - reference manual
Definition sphere.icc:25