Rheolef  7.2
an efficient C++ finite element environment
 
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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);
field lh = integrate (dot(u_exact(d),v) + div_u_exact(d)*mu),
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
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.
STL namespace.
rheolef - reference manual
Definition leveque.h:25