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[Paul Constantine <question219998@xxxxxxxxxxxxxxxxxxxxx>]

Question #219998 on UFL changed:
https://answers.launchpad.net/ufl/+question/219998

Paul Constantine posted a new comment:
Thanks! That's tremendously helpful. This comes from a recent idea for
parallel-in-time simulations of chaotic dynamical systems. See, e.g.,
http://arxiv.org/abs/1211.2437

In this case n=3 would be something like the Lorenz system, while n=3e9
would be the spatially discretized, linearized forward and adjoint
operators from a Navier-Stokes model at high Reynolds number (turbulent
flow). Obviously, the latter is out of reach in practice. But that's
what we put on proposals. :) However, something like the Kuramoto-
Sivashinsky equation would be the next step after Lorenz. In this case,
the matrix A would still be a spatially discretized operator, but its
physical dimension would be 1 and n=100 would be a reasonable
discretization.

Maybe there's a way to write it in UFL that would let DOLFIN do the
spatial discretization automatically. Can you express one partial
derivative for a v=Function(V) where V=FunctionSpace(<2d mesh>)?

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