On Sat, 30 Nov 2013, Manav Bhatia wrote:
I am trying to understand the hp-selection (coarsen) strategy currently in
libMesh.
My current reference is Demkowiczâs book: Computing with hp-Adaptive Finite
Elements, which uses projections from a fine mesh solution onto a coarse mesh
to identify rate of error reduction using h- or p- refinements.
Good choice.
Is the strategy in the code through coarsen-test similar to that?
While looking through the code, it seemed like the current mesh
solution is treated as the fine solution and projected onto h- or
p- coarsening to identify rate of error reduction, and this rate
is used to select between h- or p- refinement.
That's correct.
So, it seems similar in principle, but I would appreciate if someone with
more knowledge could comment.
Also, is there a reference that describes the strategy currently implemented?
No - sadly the hp support in libMesh was something I had just been
playing with in my free time. I wouldn't guarantee correctness of the
constraint equation generation in every corner case, much less
optimality of the refinement heuristic.
If you find yourself with enough time and motivation to work with it,
though, I'd love to help fix any problems you can uncover.
---
Roy
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