Rheolef  7.2
an efficient C++ finite element environment
commute_rtd.cc

Discontinuous Raviart-Thomas L2 projection.

Discontinuous Raviart-Thomas L2 projection

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinus_vector.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
size_t d = omega.dimension(),
k = (argc > 2) ? atoi(argv[2]) : 0;
space Vh (omega, "RT"+to_string(k)+"d"),
Lh (omega, "P" +to_string(k)+"d"),
Xh = Vh*Lh;
trial x (Xh); test y (Xh);
auto u = x[0], lambda = x[1];
auto v = y[0], mu = y[1];
iopt.invert = true;
form inv_a = integrate (dot(u,v) + div_h(v)*lambda + div_h(u)*mu, iopt);
xh = inv_a*lh,
p_Vh_u = xh[0],
pi_h_u = lazy_interpolate(Vh,u_exact(d));
dout << catchmark("p_Vh_u") << p_Vh_u
<< catchmark("pi_h_u") << pi_h_u;
}
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
Definition: environment.h:121
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)
Definition: commute_rtd.cc:29
The cosinus vector function.
rheolef::details::is_vec dot
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
STL namespace.
rheolef - reference manual
Definition: leveque.h:25
g u_exact
Definition: taylor_exact.h:26