Sundance: High-level software for PDE-constrained optimization

Authors:
Kevin Long;Paul T. Boggs;Bart G. van Bloemen Waanders
Affiliations:
Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA. E-mail: kevin.long@ttu.edu;Sandia National Laboratories, Livermore, CA, USA. E-mail: ptboggs@sandia.gov;Sandia National Laboratories, Albuquerque, NM, USA. E-mail: bartv@sandia.gov
Venue:
Scientific Programming
Year:
2012

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Abstract

Sundance is a package in the Trilinos suite designed to provide high-level components for the development of high-performance PDE simulators with built-in capabilities for PDE-constrained optimization. We review the implications of PDE-constrained optimization on simulator design requirements, then survey the architecture of the Sundance problem specification components. These components allow immediate extension of a forward simulator for use in an optimization context. We show examples of the use of these components to develop full-space and reduced-space codes for linear and nonlinear PDE-constrained inverse problems.