Rheolef  7.2
an efficient C++ finite element environment
 
Loading...
Searching...
No Matches
dirichlet_hdg.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "sinusprod_dirichlet.h"
29int main(int argc, char**argv) {
30 environment rheolef (argc, argv);
31 geo omega (argv[1]);
32 string approx = (argc > 2) ? argv[2] : "P1d";
33 Float n = (argc > 3) ? atof(argv[3]) : 1;
34 Float beta = (argc > 4) ? atof(argv[4]) : 1;
35 space Th (omega, approx, "vector"),
36 Xh (omega, approx),
37 Yh = Th*Xh,
38 Mh (omega["sides"], approx);
39 Mh.block("boundary");
40 space Wh(Mh.get_geo()["boundary"],approx);
41 size_t d = omega.dimension();
42 size_t k = Xh.degree();
43 trial x(Yh), lambda(Mh);
44 test y(Yh), mu(Mh);
45 auto sigma = x[0], u = x[1];
46 auto tau = y[0], v = y[1];
48 iopt.invert = true;
49 auto coef = beta*pow(h_local(),n);
50 form inv_a = integrate(dot(sigma,tau) + u*div_h(tau) + v*div_h(sigma)
51 - on_local_sides(coef*u*v), iopt);
52 form b = integrate("internal_sides",
53 (-dot(jump(sigma),normal()) + 2*coef*average(u))*mu)
54 + integrate("boundary", (-dot(sigma,normal()) + coef*u)*mu);
55 form c = integrate("internal_sides", 2*coef*lambda*mu)
56 + integrate("boundary", coef*lambda*mu);
57 field lh = integrate (-f(d)*v);
58 field kh(Mh,0), lambda_h(Mh,0);
59 lambda_h ["boundary"] = lazy_interpolate (Wh, g(d));
60 form s = c + b*inv_a*trans(b);
61 field rh = b*(inv_a*lh) - kh;
62 problem p (s);
63 p.solve (rh, lambda_h);
64 field xh = inv_a*(lh - b.trans_mult(lambda_h));
65 dout << catchmark("n") << n << endl
66 << catchmark("beta") << beta << endl
67 << catchmark("u") << xh[1]
68 << catchmark("lambda") << lambda_h
69 << catchmark("sigma") << xh[0];
70}
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 geo 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::divergence > >::type div_h(const Expr &expr)
div_h(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
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression 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:211
std::enable_if< details::is_field_expr_v2_variational_arg< Expr >::value, details::field_expr_quadrature_on_sides< Expr > >::type on_local_sides(const Expr &expr)
on_local_sides(expr): see the expression page for the full documentation
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
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition csr.h:455
STL namespace.
rheolef - reference manual
The sinus product function – right-hand-side and boundary condition for the Poisson problem.
Definition cavity_dg.h:29
Definition cavity_dg.h:25
Definition sphere.icc:25
Definition leveque.h:25