Feature/proximal newton solver (!45) · Merge requests · Sander, Oliver / dune-gfe

Merged Nebel, Lisa Julia requested to merge lnebel/dune-gfe:feature/proximal-newton-solver into master 4 years ago

Sep 03, 2020

Move film-on-substrate.parset file from src to problems · dfa7ae18
Lisa Julia Nebel authored 4 years ago

dfa7ae18

Move python files to problems folder · f5ce8eb2

This is where they actually belong, create an own file for identity-dirichlet-values;
before we 'abused' a copy of the file cantilever-dirichlet-values.py

f5ce8eb2

Adjust and cleanup film-on-substrate.parset · f634ad1f
Lisa Julia Nebel authored 4 years ago

f634ad1f
Add Proximal-Newton solver to film-on-substrate · 02a76392
Lisa Julia Nebel authored 4 years ago

02a76392

Add first version of the Riemannian Proximal Newton solver, as an alternative... · d038e0e4

Lisa Julia Nebel authored 4 years ago

Add first version of the Riemannian Proximal Newton solver, as an alternative to the Trust-Region Solver.

In each step of these two iterative solvers, we try to find a correction
that decreases the energy of the nonlinear functional of the current iterate x.
The correction is calculated using the Taylor expansion around x,
resulting in the problem: Hessian(x) * correction = -gradient(x).
Within a certain radius around x, the functional can be approximated correctly and then
the corrections causes an energy decrease.
1) The trust-region algorithm ensures this using a trust-region.
2) The proximal newton method ensures this by punishing
large corrections using a regularization factor.

d038e0e4

Feature/proximal newton solver

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