damped-newton(5)
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
- #include "damped-newton-generic.h"
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);
- }