On Fri, 10 Jan 2020, Bin Liu wrote:

> I find that libmesh indeed has a class
> "libMesh::DifferentiablePhysics" to deal with ALE formulation.

On top of what John said, I need to confess that the
DifferentiablePhysics ALE code was never properly finished.  I got it
to a state where it was running but didn't seem to be passing
convergence tests, then the physics people on our project discovered a
quasi-steady formulation which would work even better than our
previous unsteay model, and so I didn't have any more time to devote
to *fixing* the ALE code.
---
Roy


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