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

The heat equation.

The heat equation

#include "rheolef.h"
using namespace rheolef;
using namespace std;
int main (int argc, char **argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
size_t n_max = (argc > 2) ? atoi(argv[2]) : 100;
Float delta_t = 0.5/n_max;
space Xh (omega, "P1");
Xh.block ("boundary");
trial u (Xh); test v (Xh);
form a = integrate (u*v + delta_t*dot(grad(u),grad(v)));
problem p (a);
field uh (Xh, 0);
branch event ("t","u");
dout << event (0, uh);
for (size_t n = 1; n <= n_max; n++) {
field rhs = uh + delta_t;
field lh = integrate (rhs*v);
p.solve (lh, uh);
dout << event (n*delta_t, uh);
}
}
field lh(Float epsilon, Float t, const test &v)
see the Float page for the full documentation
see the branch 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 environment 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.
STL namespace.
rheolef - reference manual
Definition sphere.icc:25
Definition leveque.h:25