Journal ArticleDOI
Space mapping: the state of the art
John W. Bandler,Qingsha S. Cheng,S.A. Dakroury,Ahmed S.A. Mohamed,Mohamed H. Bakr,Kaj Madsen,Jacob Søndergaard +6 more
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TLDR
For the first time, a mathematical motivation is presented and SM is placed into the context of classical optimization to achieve a satisfactory solution with a minimal number of computationally expensive "fine" model evaluations.Abstract:
We review the space-mapping (SM) technique and the SM-based surrogate (modeling) concept and their applications in engineering design optimization. For the first time, we present a mathematical motivation and place SM into the context of classical optimization. The aim of SM is to achieve a satisfactory solution with a minimal number of computationally expensive "fine" model evaluations. SM procedures iteratively update and optimize surrogates based on a fast physically based "coarse" model. Proposed approaches to SM-based optimization include the original algorithm, the Broyden-based aggressive SM algorithm, various trust-region approaches, neural SM, and implicit SM. Parameter extraction is an essential SM subproblem. It is used to align the surrogate (enhanced coarse model) with the fine model. Different approaches to enhance uniqueness are suggested, including the recent gradient parameter-extraction approach. Novel physical illustrations are presented, including the cheese-cutting and wedge-cutting problems. Significant practical applications are reviewed.read more
Citations
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Proceedings ArticleDOI
Trust-region-based convergence safeguards for space mapping design optimization of microwave circuits
TL;DR: It is demonstrated that although formal conditions for applying trust regions are not strictly satisfied for SM surrogate models, TR improves the stability and convergence properties of the SM optimization process.
Journal ArticleDOI
Fast EM-Driven Optimization Using Variable-Fidelity EM Models and Adjoint Sensitivities
TL;DR: A robust and computationally efficient technique for microwave design optimization is presented, which exploits variable-fidelity electromagnetic simulation models and adjoint sensitivities and optimized together with the design itself, to keep the number of both low- and high-f fidelity simulations at low levels.
Proceedings ArticleDOI
CPU-budget-driven automated microwave design optimization using variable-fidelity electromagnetic simulations
TL;DR: A robust technique for microwave design optimization based on variable-fidelity electromagnetic (EM) simulations that automatically switches between models of different fidelity taking into account the computational budget assumed for the design process is presented.
Proceedings ArticleDOI
Computational Fluid Dynamic Analysis and Shape Optimization of Trawl-Doors
TL;DR: In this article, the authors presented a two-dimensional computational dynamic (CFD) model to analyze the hydrodynamic performance of trawl-doors, i.e., wings used to hold the shing net open during trawling.
Journal ArticleDOI
Physics-based Surrogates for Low-cost Modeling of Microwave Structures
TL;DR: Several modeling techniques exploiting this idea are reviewed, including some variations of space mapping as well as shape-preserving response prediction, which are illustrated using examples of typical microwave components such as filters and antennas.
References
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Practical Methods of Optimization
TL;DR: The aim of this book is to provide a Discussion of Constrained Optimization and its Applications to Linear Programming and Other Optimization Problems.
Book
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
TL;DR: In this paper, Schnabel proposed a modular system of algorithms for unconstrained minimization and nonlinear equations, based on Newton's method for solving one equation in one unknown convergence of sequences of real numbers.
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Numerical methods for unconstrained optimization and nonlinear equations
TL;DR: Newton's Method for Nonlinear Equations and Unconstrained Minimization and methods for solving nonlinear least-squares problems with Special Structure.
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Microstrip filters for RF/microwave applications
TL;DR: In this paper, the authors present a general framework for coupling matrix for Coupled Resonator Filters with short-circuited Stubs (UWB) and Cascaded Quadruplet (CQ) filters.