Cross section inference based on PDE-constrained optimization Conference Paper

abstract

• The 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.

authors

• Ragusa, Jean

published proceedings

• American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009

author list (cited authors)

• Sternat, M., & Ragusa, J. C.

complete list of authors

• Sternat, M||Ragusa, JC

publication date

• December 2009

International Standard Book Number (ISBN) 13

• 9781615673490

start page

• 3146

end page

• 3154

volume

• 5