My tests show the coupled variant is actually faster (with Trilinos). 

As mentioned in ticket 658, the PySparse LU solver uses a lot of memory for 
this problem (it always uses a lot, but it's particularly high here). It's 
generally quite fast, but if it needs a substantial fraction of the RAM on your 
machine, then virtual memory "thrashing" can ensue, which is enormously slow. 
There's little point in running a simulation under these conditions.

On Jan 16, 2014, at 2:21 PM, Jane Hung <jyh...@mit.edu>
 wrote:

> I'm using PySparse 
> 
> On Jan 15, 2014, at 10:27 PM, Guyer, Jonathan E. Dr. 
> <jonathan.gu...@nist.gov> wrote:
> 
> > On Jan 14, 2014, at 2:05 PM, Jane Hung <jyh...@mit.edu> wrote:
> >
> >> The vector formulation is still rather slow (much much slower than with 
> >> just one equation). Is that expected?
> >
> >
> > I'm not sure. We'll do some tests.
> >
> > What solver suite are you using? PySparse or Trilinos?
> >
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