Efficient Full-Wave Analysis of Multilayer Interconnection Structures Using a Novel Domain Decomposition-Model Order Reduction Method

Lee, Shih-Hao; Jin, Jian‐Ming

doi:10.1109/epep.2007.4387126

Cited by 2 publications

(2 citation statements)

References 21 publications

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“…Working on this expression, the following integral relationship holds by using the finite element approximation of the magnetic field 24) which in matrix form reads…”

Section: Generalized Admittance Matrix Approachmentioning

confidence: 99%

“…These works propose to adaptively select the number of sample points by explicitly computing the residual error at specific frequency points. This approach is further applied to domain decomposition in [24]. SVD techniques can take into account not only frequency as variable but also dielectric material properties and geometrical parameters.…”

Section: Introductionmentioning

confidence: 99%

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Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

Rubia

Razafison

Maday

2009

IEEE Trans. Microwave Theory Techn.

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In this paper, a reduced basis approximation-based model order reduction for fast and reliable frequency sweep in the time-harmonic Maxwell's equations is detailed. Contrary to what one may expect by observing the frequency response of different microwave circuits, the electromagnetic field within these devices does not drastically vary as frequency changes in a band of interest. Thus, instead of using computationally inefficient, large dimension, numerical approximations such as finite element or boundary element methods for each frequency in the band, the point in here is to approximate the dynamics of the electromagnetic field itself as frequency changes. A much lower dimension, reduced basis approximation sorts this problem out. Not only rapid frequency evaluation of the reduced order model is carried out within this approach, but also special emphasis is placed on a fast determination of the error measure for each frequency in the band of interest. This certifies the accurate response of the reduced order model. The same scheme allows us, in an offline stage, to adaptively select the basis functions in the reduced basis approximation and automatically select the model order reduction process whenever a preestablished accuracy is required throughout the band of interest. Finally, real-life applications will illustrate the capabilities of this approach.

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“…Working on this expression, the following integral relationship holds by using the finite element approximation of the magnetic field 24) which in matrix form reads…”

Section: Generalized Admittance Matrix Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

Rubia

Razafison

Maday

2009

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

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The approximate modal interface—solution space projection method for efficient broadband full-wave analysis of multilayer interconnection structures

Lee

Jin

2008

2008 IEEE Antennas and Propagation Society International Symposium

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Efficient Full-Wave Analysis of Multilayer Interconnection Structures Using a Novel Domain Decomposition-Model Order Reduction Method

Cited by 2 publications

References 21 publications

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

The approximate modal interface—solution space projection method for efficient broadband full-wave analysis of multilayer interconnection structures

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Efficient Full-Wave Analysis of Multilayer Interconnection Structures Using a Novel Domain Decomposition-Model Order Reduction Method

Cited by 2 publications

References 21 publications

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method

The approximate modal interface&#x2014;solution space projection method for efficient broadband full-wave analysis of multilayer interconnection structures

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The approximate modal interface—solution space projection method for efficient broadband full-wave analysis of multilayer interconnection structures