Rheolef  7.1
an efficient C++ finite element environment
commute_rtd.cc
Go to the documentation of this file.
1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "cosinus_vector.h"
29 int 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"+itos(k)+"d"),
35  Lh (omega, "P" +itos(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];
40  integrate_option iopt;
41  iopt.invert = true;
42  form inv_a = integrate (dot(u,v) + div_h(v)*lambda + div_h(u)*mu, iopt);
44  xh = inv_a*lh,
45  p_Vh_u = xh[0],
46  pi_h_u = interpolate(Vh,u_exact(d));
47  dout << catchmark("p_Vh_u") << p_Vh_u
48  << catchmark("pi_h_u") << pi_h_u;
49 }
cosinus_vector.h
The cosinus vector function.
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
field
see the field page for the full documentation
rheolef::integrate
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
div_u_exact
Definition: cosinus_vector.h:31
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
space
see the space page for the full documentation
rheolef::div_h
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::divergence >>::type div_h(const Expr &expr)
div_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:1069
rheolef.h
rheolef - reference manual
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::interpolate
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
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
test
see the test page for the full documentation
u
Definition: leveque.h:25
u_exact
g u_exact
Definition: taylor_exact.h:26
main
int main(int argc, char **argv)
Definition: commute_rtd.cc:29
mkgeo_contraction.mu
mu
Definition: mkgeo_contraction.sh:193
trial
see the test page for the full documentation
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef::std
Definition: vec_expr_v2.h:402
geo
see the geo page for the full documentation
lambda
Definition: yield_slip_circle.h:34