hi Yujie,
I think you want to know how libmesh assembles system
matrix. In the assemble function, libmesh has a loop
over all the elements. Each element computes its own
contribution and then sends to the sparse matrix. The
system matrix is a Petsc sparse matrix. There are two
flags for sending values in Petsc, ADD_VALUES and
SET_VALUES. Here, the ADD_VALUES is used. In the
parallel scheme, the elements are seperated into
different processes. 
So back to your question, it doesn't matter whether
this unkown variable is on the local process or
somewhere else. At last you'll get the same sparse
matrix as I get in the serial scheme. Petsc can add
values to the unknown variables which does not exist
in the local process.
Only my understanding ;-) Please correct me.

pan



--- Yujie <[EMAIL PROTECTED]> wrote:

> Hi, everyone
> 
> I am wondering a problem about unkown varialbes (x)
> distribution in libmesh.
> Practically, you use finite element method to solve
> PDE, you will finally
> get the linear equation Ax=b. In libmesh, if you
> solve it parallelly, you
> need to first partition the domain, that is A is
> partionted. However, each
> node in the cluster has all the variables x or only
> the part of x? Could you
> give me some advice? thanks a lot.
> 
> Regards,
> Yujie
> >
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