Reliable Real-Time Optimization of Nonconvex Systems Described by Parametrized Partial Differential Equations
| Autor: | Oliveira, I.B., Patera, Anthony T. |
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| Rok vydání: | 2003 |
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| Druh dokumentu: | Článek |
| Popis: | The solution of a single optimization problem often requires computationally-demanding evaluations; this is especially true in optimal design of engineering components and systems described by partial differential equations. We present a technique for the rapid and reliable optimization of systems characterized by linear-functional outputs of partial differential equations with affine parameter dependence. The critical ingredients of the method are: (i) reduced-basis techniques for dimension reduction in computational requirements; (ii) an "off-line/on-line" computational decomposition for the rapid calculation of outputs of interest and respective sensitivities in the limit of many queries; (iii) a posteriori error bounds for rigorous uncertainty and feasibility control; (iv) Interior Point Methods (IPMs) for efficient solution of the optimization problem; and (v) a trust-region Sequential Quadratic Programming (SQP) interpretation of IPMs for treatment of possibly non-convex costs and constraints. Singapore-MIT Alliance (SMA) |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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