Hi all,

I am currently looking for a library that can work well with PETSc and can
provide me an FEM framework to handle a set of coupled nonlinear PDEs in 2
and 3 dimensions. 

I hope to compare the usability of LibMesh and Deal II for this purpose. I
have already installed LibMesh with the current version of PETSc on an OCS
cluster. Since the number of DOFs for my system can be in the order of
millions, it becomes important to ask two primary questions:

1) Are there any benchmark results for LibMesh while using with PETSc ? To
rephrase that question, how does LibMesh scale with the problem ? (Weak
scaling)

2) What additional code changes would a user be required to make in order to
get matrix-free solution algorithms to work with LibMesh ? For example, only
local assemblies need be performed and global assemblies that require matrix
to be stored are not needed. For an iterative linear Krylov solve, this
would be done at every matvec product request. 

If somebody can provide me with some pointers for the scalability results
and possibly a sample code for even a simple 1-D diffusion problem, that
would be fantastic.

Thanks in advance for all your help.

Vijay

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