On 09/12/2013 08:48 PM, Barry Smith wrote:
http://en.wikipedia.org/wiki/Nondimensionalization
Hi Barry,
For the kind of problems, I am working on, this is a general problem and
unfortunately, it is not in general possible to get away from this
property with the scaling on the initial differential equations.
Moreover, the problem is two sided, a structure coupled to a fluid
domain, where the physics is already inducing different scaling and math
is obeying that ;-)
This was a problem I discussed here extensively last week. Solving
directly is not a problem, the challenge is, if possible, to use Schur
complements and iterative solution techniques, where the source of the
problem emerged from.
Thanks for the comments anyway.
BR,
Umut
Barry
On Sep 12, 2013, at 12:04 PM, Umut Tabak <[email protected]> wrote:
Dear all,
I am looking for some references for matrix scaling where I would like to
improve the conditioning of a block representation such as
A C
C^T B
where the terms in A and B blocks are of very different orders, such as A is of
1e+8 and B for instance is of order 1e-4 . The ratios can get even worse but
not better on the problems I tried.
I am trying have an overview for some cheap conditioning approaches for this
problem.
Any ideas/references are appreciated.
BR,
Umut
