M. Sternat, J.C. Ragusa,
"Cross Section Inference Based on PDE-Constrained Optimization,"
International Conference on Advances in Mathematics, Computational Methods, and Reactor Physics, an international conference sponsored by the ANS, Saratoga, NY, in May 3-7, 2009.
problem of inferring the material properties (cross section) in
noninvasive inverse problems is formulated as a PDE-constrained
optimization problem, where the governing laws of the chosen
physics act as a constraint. A standard Lagrangian functional,
containing the objective function to be minimized and the
constraints to satisfy, is formed. The resolution of the optimality
conditions lead to a nonlinear problem that is tackled with a
Gauss-Newton procedure. Results of cross section inference are
presented in the case of 1-group 2D neutron diffusion theory.
Associated Project(s):SHIELD (Smuggled HEU Interdiction through Enhanced anaLysis and Detection): A Framework for Developing Novel Detection Systems Focused on Interdicting Shielded HEU