Rheolef  7.2
an efficient C++ finite element environment
 
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mosolov_augmented_lagrangian1.icc

The Mossolov problem by the augmented Lagrangian method – solver class body.

The Mossolov problem by the augmented Lagrangian method – solver class body

int mosolov_augmented_lagrangian::solve (field& sigma_h, field& uh) const {
test v(Xh);
derr << "# k residue" << endl;
for (size_t k = 0; true; ++k) {
field grad_uh = inv_mt*(b*uh);
auto c = compose(vector_projection(Bi,n,1,r), norm(sigma_h+r*grad_uh));
field gamma_h = lazy_interpolate(Th, c*(sigma_h + r*grad_uh));
field delta_sigma_h = r*(grad_uh - gamma_h);
sigma_h += delta_sigma_h;
Float residue = delta_sigma_h.max_abs();
derr << k << " " << residue << endl;
if (residue <= tol || k >= max_iter) {
derr << endl << endl;
return (pow(residue,3) <= tol) ? 0 : 1;
}
field rhs = (1/r)*(lh - integrate(dot(sigma_h - r*gamma_h, grad(v))));
pa.solve (rhs, uh);
}
}
see the Float page for the full documentation
see the field page for the full documentation
see the test page for the full documentation
field residue(Float p, const field &uh)
int solve(field &sigma_h, field &uh) const
The projection for yield-stress rheologies – vector-valued case for the Mossolov problem.