On Thu, 19 Mar 2009, Vasilis Vavourakis wrote:

> Roy, you are right too, the simplest way to implement the arc-length
> procedure is to augment the system with one "constraint" equation...
> the problem is that it's not that clear to me (i'm not that a libmesh
> expert) to add another "one" degree-of-freedom in the system!

Currently there is *no* good way to add another single dof with global
(or per-subdomain, whatever) coupling to the algebraic system.  So far
nobody's needed such a feature enough to do the DofMap work adding it
would require.  In John's stuff (continuation_system.C) he wanted to
keep track of the arc length parameter independently anyway to do
adaptive step lengths, so IIRC he just kept it out of the algebraic
system and iterated them loosely.
---
Roy

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