Reliable Greedy Multipoint Model-Order Reduction Techniques for Finite-Element Analysis

Fotyga, Grzegorz; Czarniewska, Martyna; Lamęcki, Adam; Mrozowski, Michał

doi:10.1109/lawp.2018.2817391

Cited by 21 publications

(15 citation statements)

References 11 publications

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“…In this regard, we use MORe to carry out a fast frequency sweep. The goal in MORe is to identify the manifold, or reduced-basis space, in which the actual dynamics of system (1) take place in an efficient way [2], [3], [4], [5], [6], [7], [8]. As a result of this MORe process, we obtain a scattering transfer function which is really easy to evaluate due to its low dimension, thus, ft) = -(i) (S+s " +s2tr ' ( * *>(«)…”

Section: Problem Statementmentioning

confidence: 99%

Model Order Reduction Zero-Pole Characterization and Computer-Aided Design of Microwave Circuits

Otero-Carrasco

Rubia

2019

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA)

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A reduced-order model is applied to finite element analysis of microwave circuits. The matrix-valued transfer function of the system is obtained, which is described as a scattering matrix transfer function. Due to the application of model order reduction techniques, the scattering matrix transfer function of the microwave circuit is detailed as a low dimension system, which allows us to efficiently obtain the frequency behavior of the system. In addition, the fundamental characteristics of this transfer function are discussed and a procedure to efficiently obtained the zelo-pole characteristics of the microwave filter is addressed. Finally, real-life applications will illustrate the capabilities of this approach. Index Terms-Computer aided engineering, design automation, finite element methods, Galerkin method, microwave circuits, reduced basis methods, reduced-order systems.

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Section: Problem Statementmentioning

confidence: 99%

Model Order Reduction Zero-Pole Characterization and Computer-Aided Design of Microwave Circuits

Otero-Carrasco

Rubia

2019

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA)

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“…These assume that the projection basis is generated by solving a problem at a few carefully selected frequency points. In momentmatching techniques [1]- [6], frequency derivatives of the reduced and original transfer functions are matched up to the specified order at the selected expansion points. However, if the analyzed structure contains dispersive materials, the moment-matching techniques provide the reduced-order models (ROMs) which are valid only in a narrow frequency band.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, error estimators are used to measuring the accuracy of the reduced model. The greedy multipoint MOR technique [5], [6] makes use of the residual error associated with the computation of the scattering matrix and the error is verified only at the ports of the analyzed structure. A different strategy is considered in RBM approaches [8]- [10], where the error is evaluated over the whole frequency band by computing the Euclidean norm of the residual error.…”

Section: Introductionmentioning

confidence: 99%

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An Enhanced Reduced Basis Method for Wideband Finite Element Method Simulations

2019

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In this paper, we present a novel strategy for selecting expansion points in the reduced basis method. A single computation of the error estimator is used to select a few expansion points in the multi-parameter space simultaneously. The number of selected points is determined adaptively, based on the accuracy of the current reduced model. The reliability and efficiency of this proposed approach are illustrated by numerical tests considering real-life structures, including dielectric resonator filter, H-plane filter, and four-pole dielectric-loaded cavity filter. INDEX TERMS Model-order reduction, a posteriori error estimator, finite element method.

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“…However, each of these approaches can be further combined into the other, namely, not only Taylor series in multiple expansion points can be considered to improve convergence in the moment-matching framework, but also derivatives in field solutions can uplift the field solution data for analysis in SVD-based model-order reduction. The following papers deal with these strategies [2]- [10].…”

Section: Introductionmentioning

confidence: 99%

A Compact Basis for Reliable Fast Frequency Sweep via the Reduced-Basis Method

Rubia

Mrozowski

2018

IEEE Trans. Microwave Theory Techn.

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A reliable reduced-order model (ROM) for fast frequency sweep in time-harmonic Maxwell's equations by means of the reduced-basis method is detailed. Taking frequency as a parameter, the electromagnetic field in microwave circuits does not arbitrarily vary as frequency changes, but evolves on a very low-dimensional manifold. Approximating this low-dimensional manifold by a low dimension subspace, namely, reduced-basis space, gives rise to an ROM for fast frequency sweep in microwave circuits. This avoids carrying out time-consuming finite-element analysis for each frequency in the band of interest. The behavior of the solutions to Maxwell's equations as a function of the frequency parameter is studied and highlighted. As a result, a compact reduced-basis space for efficient model-order reduction is proposed. In this paper, the reduced-basis space is composed of two parts: 1) eigenmodes hit in the frequency band of interest, which form an orthogonal, fundamental set that describes the natural oscillating dynamics of the electromagnetic field and 2) whatever else electromagnetic fields, sampled in the frequency band of interest, that are needed to achieve convergence in the reduced-basis approximation. The reduced-basis method aims not only to find out a reduced-basis space in an efficient way, but also to certify the reliability of the approximation carried out. Emphasis is placed on a fast evaluation of the ROM error measure and on providing a reliable convergence criterion. This approach is applied to both narrowband resonating structures and wideband nonresonanting devices in order to show the capabilities of the method in real-life applications.

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Reliable Greedy Multipoint Model-Order Reduction Techniques for Finite-Element Analysis

Cited by 21 publications

References 11 publications

Model Order Reduction Zero-Pole Characterization and Computer-Aided Design of Microwave Circuits

Model Order Reduction Zero-Pole Characterization and Computer-Aided Design of Microwave Circuits

An Enhanced Reduced Basis Method for Wideband Finite Element Method Simulations

A Compact Basis for Reliable Fast Frequency Sweep via the Reduced-Basis Method

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