Abstract
Because of an increased desire to optimize the design of complex physical systems, optimization problems with constraints that include partial differential equations are arising more frequently. To deal effectively with such optimization problems, we propose a set of novel computational tools. The first is a highly flexible system, called Sundance, for specifying and applying differential operators. The next is a “proxy” linear algebra system that allows detailed control of Sundance by other programs running on other machines. Our optimization algorithms, Split and O3D, an SQP algorithm and a quadratic program solver, respectively, have been specially designed to work with the necessary abstractions to use the proxy system. Finally, two additional tools have been built: one (MAUI) to facilitate the construction of a general graphical user interface; and the second (IDEA) to allow asynchronous communication between Split and Sundance. We describe all of these components and discuss their application.
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© 2003 Kluwer Academic Publishers B.V.
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Boggs, P.T., Long, K.R. (2003). A Software System for PDE-Constrained Optimization Problems. In: Di Pillo, G., Murli, A. (eds) High Performance Algorithms and Software for Nonlinear Optimization. Applied Optimization, vol 82. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0241-4_6
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DOI: https://doi.org/10.1007/978-1-4613-0241-4_6
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