rheolef::newton_identity_preconditioner Struct Reference

damped_newton – damped Newton nonlinear algorithm More...

#include <damped_newton.h>

Public Member Functions
template<class Problem >
Float	operator() (const Problem &P, const typename Problem::value_type &MFv) const
template<class Problem >
Float	operator() (const Problem &P, const typename Problem::value_type &MFu, const typename Problem::value_type &delta_u) const
template<class Problem >
Problem::value_type	grad (const Problem &P, const typename Problem::value_type &MFu) const
template<class Problem >
Float	slope (const Problem &P, const typename Problem::value_type &MFu, const typename Problem::value_type &delta_u) const

Detailed Description

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);

In addition to the members required for the Newton algorithm (see newton algorithm), the space_norm and duality_product are required for the damped Newton line search algorithm:

class my_problem {
public:
  ...
  Float space_norm      (const field& uh) const;
  Float duality_product (const field& mrh, const field& msh) const;
};

Definition at line 35 of file damped_newton.h.

Member Function Documentation

template<class Problem >

Float rheolef::newton_identity_preconditioner::operator() ( const Problem &  P, const typename Problem::value_type &  MFv  ) const

inline

Definition at line 37 of file damped_newton.h.

template<class Problem >

Float rheolef::newton_identity_preconditioner::operator() ( const Problem &  P, const typename Problem::value_type &  MFu, const typename Problem::value_type &  delta_u  ) const

inline

Definition at line 41 of file damped_newton.h.

template<class Problem >

Problem::value_type rheolef::newton_identity_preconditioner::grad ( const Problem &  P, const typename Problem::value_type &  MFu  ) const

inline

Definition at line 45 of file damped_newton.h.

template<class Problem >

Float rheolef::newton_identity_preconditioner::slope ( const Problem &  P, const typename Problem::value_type &  MFu, const typename Problem::value_type &  delta_u  ) const

inline

Definition at line 49 of file damped_newton.h.

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The documentation for this struct was generated from the following file:

• damped_newton.h