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damped_newton: damped Newton nonlinear algorithm

damped_newton -- damped Newton nonlinear algorithm


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.


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); } DAMPED_NEWTON(5)

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