>  But.... you don't necessarily have to put the exact _right_ thing either.
>  There is some grey area here... and what works for one system of equations
> won't work for another.  In general, if you put something resembling the
> true jacobian in there... it will greatly help your linear solves.

>From the finite volume world, it is often common that a 1st-order accurate
discretization is used to precondition....

I'd be interested to see what work has been done with DG taking a similar
approach - preconditioning with lower P.  It is a bit harder here, though,
'cus you need an additional restriction from your larger residual to your
preconditioner.  In FV the number of unknowns is the same for P=1 or P=2, it
is just that the implicit operator stencil grows...

-Ben


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