Optimality conditions for the numerical solution of optimization problems with PDE constraints :

Technical Report · Sat Mar 01 00:00:00 EST 2014

DOI:https://doi.org/10.2172/1200665· OSTI ID:1200665

Aguilo Valentin, Miguel Alejandro ^[1]; Ridzal, Denis ^[1]

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1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

A theoretical framework for the numerical solution of partial di erential equation (PDE) constrained optimization problems is presented in this report. This theoretical framework embodies the fundamental infrastructure required to e ciently implement and solve this class of problems. Detail derivations of the optimality conditions required to accurately solve several parameter identi cation and optimal control problems are also provided in this report. This will allow the reader to further understand how the theoretical abstraction presented in this report translates to the application.

• Research Organization: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 1200665
• Report Number(s): SAND2014-2464; 506228
• Resource Relation: Conference: Naples (Italy), 3-5 Jun 2014
• Country of Publication: United States
• Language: English