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Gradient-based Constrained Optimization ...
Choi, Youngsoo...

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Gradient-based Constrained Optimization Using a Database of Linear Reduced-Order Models by Choi, Youngsoo ( Author )
Lemonjar Open Access
Australian National University
17-08-2023
A methodology grounded in model reduction is presented for accelerating the gradient-based solution of a family of linear or nonlinear constrained optimization problems where the constraints include at least one linear Partial Differential Equation (PDE). A key component of this methodology is the construction, during an offline phase, of a database of pointwise, linear, Projection-based Reduced-Order Models (PROM)s associated with a design parameter space and the linear PDE(s). A parameter sampling procedure based on an appropriate saturation assumption is proposed to maximize the efficiency of such a database of PROMs. A real-time method is also presented for interpolating at any queried but unsampled parameter vector in the design parameter space the relevant sensitivities of a PROM. The practical feasibility, computational advantages, and performance of the proposed methodology are demonstrated for several realistic, nonlinear, aerodynamic shape optimization problems governed by linear aeroelastic constraints.
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Article
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30.00 KB
English
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MYR 0.01
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http://arxiv.org/abs/1506.07849
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