Skip to content
GitLab
Projects
Groups
Snippets
Help
Loading...
Help
What's new
10
Help
Support
Community forum
Keyboard shortcuts
?
Submit feedback
Sign in
Toggle navigation
Open sidebar
pyMOR
pymor
Commits
53675e86
Commit
53675e86
authored
Dec 07, 2020
by
Tim Keil
Browse files
Options
Browse Files
Download
Email Patches
Plain Diff
[docs/tutorials] add references
parent
5a612050
Changes
1
Hide whitespace changes
Inline
Side-by-side
Showing
1 changed file
with
13 additions
and
6 deletions
+13
-6
docs/source/tutorial_optimization.rst
docs/source/tutorial_optimization.rst
+13
-6
No files found.
docs/source/tutorial_optimization.rst
View file @
53675e86
...
...
@@ -872,15 +872,22 @@ the traditional offline/online splitting by only enriching the model along
the path of optimization or (even better) only enrich
the model if the standard error estimator goes above a certain tolerance.
Furthermore, higher order optmization methods with accessible gradient
or hessian make FOM methods take even less steps. Also in this case,
adaptive RB methods still reduce the computational demand of the
optimization method.
A main drawback of the content in this tutorial was that the choice of
the tolerance ``atol`` can not be known a priorily. This shows the need for
the tolerance ``atol`` that has been used to build the RB spaces
cannot be known a priorily. This shows the need for
certified and robust reduced methods.
For some standard literature for faster and robust optimization tools we refer to
`CGT00 <https://epubs.siam.org/doi/book/10.1137/1.9780898719857?mobileUi=0>`__ and
`NW06 <https://link.springer.com/book/10.1007/978-0-387-40065-5>`__.
For recent research on using trust-region methods for MOR of PDE-constrained
optimization problems, we refer to
`YM13 <https://epubs.siam.org/doi/abs/10.1137/120869171>`__,
`QGVW17 <https://epubs.siam.org/doi/abs/10.1137/16M1081981>`__ and
`KMSOV <https://arxiv.org/abs/2006.09297>`__ where for the latter, pyMOR
has been used for the numerical experiments.
Download the code:
:jupyter-download:script:`tutorial_optimization`
...
...
Write
Preview
Markdown
is supported
0%
Try again
or
attach a new file
.
Attach a file
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Cancel
Please
register
or
sign in
to comment