[Dune] Non Linear Solver in DUNE

[Dr. Olaf Ippisch]

> There is no Newton method in the core modules
> but there is one in dune-pdelab.
>
> However it seems that you want to solve a minimization
> problem and the damping strategy in the pdelab solver
> looks like it is intended to minimize the defect.
> This is in general not the best choice for a minimization
> problem. Perhaps one of the pdelab developers can comment
> if this is customizable.

This is adjustable. The NewtonSolver in PDELab is a composite created by 
deriving from several base classes (NewtonSolver, NewtonTerminate, 
NewtonLineSearch and NewtonPrepareStep). The damping strategy can be
changed by creating a new class implementing NewtonLineSearch and using 
it in as base class in a new Newton class. All code is contained in 
newton.hh.

Best regards,
Olaf


-- 
Dr. Olaf Ippisch
Universität Heidelberg
Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
Im Neuenheimer Feld 368, Raum 4.24
Tel: 06221/548252   Fax: 06221/548884
Mail: Im Neuenheimer Feld 368, 69120 Heidelberg
e-mail: <olaf.ippisch at iwr.uni-heidelberg.de>

In physics the truth is rarely perfectly clear, and that is certainly
universally the case in human affairs.  Hence, what is not surrounded
by uncertainty cannot be the truth. (Richard Feynman)