Rheolef  7.2
an efficient C++ finite element environment
 
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incompressible-elasticity.cc

The incompressible elasticity problem for the embankment geometry.

The incompressible elasticity problem for the embankment geometry

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "embankment.icc"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
Float inv_lambda = (argc > 2 ? atof(argv[2]) : 0);
size_t d = omega.dimension();
space Xh = embankment_space(omega, "P2");
space Qh (omega, "P1");
point f (0,0,0);
f [d-1] = -1;
trial u (Xh), p (Qh); test v (Xh), q (Qh);
field lh = integrate (dot(f,v));
form a = integrate (2*ddot(D(u),D(v)));
form b = integrate (-div(u)*q);
form c = integrate (inv_lambda*p*q);
field uh (Xh, 0), ph (Qh, 0);
problem_mixed elasticity (a, b, c);
elasticity.solve (lh, field(Qh,0), uh, ph);
dout << catchmark("inv_lambda") << inv_lambda << endl
<< catchmark("u") << uh
<< catchmark("p") << ph;
}
field lh(Float epsilon, Float t, const test &v)
see the Float 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 point page for the full documentation
see the problem_mixed 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 space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
The elasticity problem for the embankment geometry – boundary conditions.
space embankment_space(const geo &omega, string approx)
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
STL namespace.
rheolef - reference manual
Definition cavity_dg.h:29
Definition sphere.icc:25
Definition leveque.h:25