Absolutely, that is fundamental to the design.

  In the simple case where all the degrees of freedom exist at the same grid 
points, hence storage is like  u,v,t,p   in the vector the nesting is trivial. 
You indicate the fields without using IS (don't even need to change any code) 

-pc_fieldsplit_0_fields 0,1,2
-fieldsplit_pc_fieldsplit_0_fields  0,1

Listing the two complimentary fields 
pc_fieldsplit_1_fields 3
-fieldsplit_pc_fieldsplit_1_fields  2
should be optional (I can't remember if it is smart enough to allow not listing 
them)

If you have a staggered grid then indicating the fields is trickery (since you 
don't have the simple u,v,t,p layout of the degrees of freedom)



> On May 17, 2023, at 12:47 PM, Alexander Lindsay <alexlindsay...@gmail.com> 
> wrote:
> 
> I've seen threads in the archives about nested field split but I'm not sure 
> they match what I'm asking about.
> 
> I'm doing a Schur field split for a porous version of incompressible 
> Navier-Stokes. In addition to pressure and velocity fields, we have fluid and 
> solid temperature fields. I plan to put all primal variables in one split and 
> the pressure obviously in the Schur split. Now within the "primal variable 
> split" a user is wondering whether we can do a further split, e.g. perhaps an 
> additive split with the solid temperature split out from the velocities and 
> fluid temperature (the former is almost pure conduction whereas the latter 
> may be advection dominated). Is this possible?
> 
> Alex

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