Dear all,

How would I do parameter estimation (and optimal experimental design) in Firedrake?

I have a time-dependent forward model consisting of a PDE system and depending on certain parameters. I also have time-dependent measurements/data. Now, I would like to minimize some functional, which measures the distance from the forward model to the recorded data.

How would I do this in Firedrake? Is there an example for this?

In a next step, I would like to do optimal experimental design, where one maximizes the Fisher information (e.g. minimize the trace of the inverse of the information matrix) with respect to position.

Any ideas on how to approach this?

Thank you for your help!
Henrik

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Dipl.-Math. Henrik Büsing

Institute for Applied Geophysics and Geothermal Energy

E.ON Energy Research Center

RWTH Aachen University

Mathieustr.           | Tel +49 (0)241 80 49907

52074 Aachen, Germany | Fax +49 (0)241 80 49889

http://www.eonerc.rwth-aachen.de/GGE

hbuesing@eonerc.rwth-aachen.de