Rheolef  7.2
an efficient C++ finite element environment
 
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commute_rtd.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "cosinus_vector.h"
29int main(int argc, char**argv) {
30 environment rheolef (argc, argv);
31 geo omega (argv[1]);
32 size_t d = omega.dimension(),
33 k = (argc > 2) ? atoi(argv[2]) : 0;
34 space Vh (omega, "RT"+to_string(k)+"d"),
35 Lh (omega, "P" +to_string(k)+"d"),
36 Xh = Vh*Lh;
37 trial x (Xh); test y (Xh);
38 auto u = x[0], lambda = x[1];
39 auto v = y[0], mu = y[1];
41 iopt.invert = true;
42 form inv_a = integrate (dot(u,v) + div_h(v)*lambda + div_h(u)*mu, iopt);
43 field lh = integrate (dot(u_exact(d),v) + div_u_exact(d)*mu),
44 xh = inv_a*lh,
45 p_Vh_u = xh[0],
46 pi_h_u = lazy_interpolate(Vh,u_exact(d));
47 dout << catchmark("p_Vh_u") << p_Vh_u
48 << catchmark("pi_h_u") << pi_h_u;
49}
field lh(Float epsilon, Float t, const test &v)
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 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
The cosinus vector function.
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
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)
STL namespace.
rheolef - reference manual
Definition leveque.h:25