Rheolef  7.2
an efficient C++ finite element environment
 
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mosolov_residue.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace std;
27using namespace rheolef;
28#include "vector_projection.h"
29int main(int argc, char**argv) {
30 environment rheolef(argc,argv);
31 Float tol = (argc > 1) ? atof(argv[1]) : 1e-12;
32 Float Bi, n, r;
33 field uh, sigma_h;
34 din >> catchmark("Bi") >> Bi
35 >> catchmark("n") >> n
36 >> catchmark("r") >> r
37 >> catchmark("sigma") >> sigma_h
38 >> catchmark("u") >> uh;
39 space Th = sigma_h.get_space();
40 space Xh = uh.get_space();
41 trial u (Xh), sigma (Th);
42 test v (Xh), tau (Th);
43 form m = integrate(u*v);
44 form a = integrate(dot(grad(u),grad(v)));
45 form b = integrate(dot(grad(u),tau));
46 form mt = integrate(dot(sigma,tau));
48 iopt.invert = true;
49 form inv_mt = integrate(dot(sigma,tau), iopt);
50 field lh = integrate(2*v);
51 field grad_uh = inv_mt*(b*uh);
52 auto c = compose (vector_projection(Bi,n), norm(sigma_h));
53 field r_sigma_h = lazy_interpolate(Th, grad_uh - c*sigma_h);
54 field mr_uh = lh - b.trans_mult(sigma_h-r*grad_uh) - r*(a*uh);
55 mr_uh["boundary"] = 0;
56 field r_uh (Xh);
57 problem pm (m);
58 pm.solve (mr_uh, r_uh);
59 Float residue_uh = sqrt(m(r_uh,r_uh));
60 Float residue_sigma_h = sqrt(mt(r_sigma_h,r_sigma_h));
61 derr << "norm_linf residue(uh) = " << r_uh.max_abs() << endl
62 << "norm_l2 residue(uh) = " << residue_uh << endl
63 << "norm_linf residue(sigma_h) = " << r_sigma_h.max_abs() << endl
64 << "norm_l2 residue(sigma_h) = " << residue_sigma_h << endl;
65 Float residue = max(residue_uh, residue_sigma_h);
66 return (residue <= tol) ? 0 : 1;
67}
field lh(Float epsilon, Float t, const test &v)
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 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
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(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
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::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
T norm(const vec< T, M > &x)
norm(x): see the expression page for the full documentation
Definition vec.h:387
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type, typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition compose.h:247
STL namespace.
field residue(Float p, const field &uh)
rheolef - reference manual
Definition leveque.h:25
The projection for yield-stress rheologies – vector-valued case for the Mossolov problem.