Efficient numerical solution of parabolic optimization problems by finite element methods

Authors:
Roland Becker;Dominik Meidner;Boris Vexler
Affiliations:
Laboratoire de Mathématiques Appliquées, Université de Pau et des Pays de l'Adour, Pau Cedex, France;Institut für Angewandte Mathematik, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany;Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria
Venue:
Optimization Methods & Software
Year:
2007

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Abstract

We present an approach for efficient numerical solution of optimization problems governed by parabolic partial differential equations. The main ingredients are: space-time finite element discretization, second-order optimization algorithms, and storage reduction techniques. We discuss the combination of these components for the solution of large-scale optimization problems.