Provided by:
librheolef-dev_5.93-2_amd64 
NAME
damped_newton -- damped Newton nonlinear algorithm
DESCRIPTION
Nonlinear damped Newton algorithm for the resolution of the following problem:
F(u) = 0
A simple call to the algorithm writes:
my_problem P;
field uh (Vh);
damped_newton (P, uh, tol, max_iter);
The my_problem class may contains methods for the evaluation of F (aka residue) and its
derivative:
class my_problem {
public:
my_problem();
field residue (const field& uh) const;
void update_derivative (const field& uh) const;
field derivative_trans_mult (const field& mrh) const;
field derivative_solve (const field& mrh) const;
Float norm (const field& uh) const;
Float dual_norm (const field& Muh) const;
};
See the example p-laplacian.h in the user's documentation for more.
IMPLEMENTATION
template <class Problem, class Field, class Real, class Size>
int damped_newton (Problem P, Field& u, Real& tol, Size& max_iter, std::ostream* p_cerr=0) {
return damped_newton(P, newton_identity_preconditioner(), u, tol, max_iter, p_cerr);
}