Hi Lucas,
While I was learning how to use the deal.ii library, one of the my major
theoretical problems was the plethora of choices in solvers+preconditioners
available, as I mentioned in another post. For instance, most of the Tutorial
steps
mention that you can use CG when the tangent matrix is symmetric, but not often
does it mention what to do if your matrix is asymmetric. I think having a short
summary or a table with the solvers in the documentation could help solve
(hehe) this issue. Naturally, something similar could be done regarding
preconditioners.
I am willing to write such documentation.
I think that would be fantastic!
As I plan it right now, a lot of of the work would to summarise and write
down the contents of Prof. Bangerth's Lectures 34-38 and 41.75. As for
the algebraic properties required for the solvers to work, I think using the
Templates book and PETSc documentation should suffice, but I am always
open to more sources.
These are good resources that would be nice to summarize and link to in the
documentation.
That said all, I can see a few reasons why one would *not* want to have this
summary in the documentation, the most important being that it is possible that
a beginner could get a "good enough" idea and not look deeper into the
documentation to something that would be more beneficial to them. Therefore,
before starting this side project, I would like to know if the maintainers
think it is a good idea to have such summary in the documentation, and would be
pleased to hear more thoughts on the issue.
I think that the main reason we don't have such an overview in the
documentation is that nobody wrote it so far. So if you're willing to do this,
then that would be great and I'm sure something that the community would very
much appreciate!
Would it help you if I sent you the original OpenOffice/LibreOffice slides I
used for the lectures you mention? The PDFs are of course all online already.
Best
Wolfgang
--
------------------------------------------------------------------------
Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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