Rheolef  7.1
an efficient C++ finite element environment
mosolov_residue.cc
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1 #include "rheolef.h"
26 using namespace std;
27 using namespace rheolef;
28 #include "vector_projection.h"
29 int 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));
47  integrate_option iopt;
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 = 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
Definition: environment.h:104
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(int argc, char **argv)
class rheolef::details::field_expr_v2_nonlinear_node_unary compose
rheolef::details::is_vec dot
This file is part of Rheolef.
T norm(const vec< T, M > &x)
norm(x): see the expression page for the full documentation
Definition: vec.h:387
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
idiststream din(cin)
see the diststream page for the full documentation
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:202
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
field residue(Float p, const field &uh)
rheolef - reference manual
Definition: leveque.h:25
Float u(const point &x)
The projection for yield-stress rheologies – vector-valued case for the Mossolov problem.