Preconditioned Second-Order Multi-Point Passive Model Reduction for Electromagnetic Simulations

Narayanan, T. V.; Swaminathan, Madhavan

doi:10.1109/tmtt.2010.2078370

Cited by 10 publications

(8 citation statements)

References 45 publications

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“…Fast frequency-sweep methods based on MOR techniques have been proposed as an effective tool to circumvent the above difficulty from large-scale FEM systems [3][4][5][6]. Generally, there are two kinds of MOR techniques for polynomial matrix equations obtained from the FEM, such as the asymptotic waveform evaluation (AWE) [3] and the Krylov subspace methods [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

“…Generally, there are two kinds of MOR techniques for polynomial matrix equations obtained from the FEM, such as the asymptotic waveform evaluation (AWE) [3] and the Krylov subspace methods [4][5][6]. For the AWE method, it is unstable due to the ill-conditioned in the moment generating process and hence is limited to low order approximations.…”

Section: Introductionmentioning

confidence: 99%

“…However, the memory scales vary quickly with the increase of the problem size. In [6], a preconditioned biconjugate gradient (BiCG) iterative solver is employed to evaluate the inverse of the sparse matrices. The memory is saved as the CG requires ( log ) O N N memory requirements, where N is the problem size.…”

Section: Introductionmentioning

confidence: 99%

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FEM full-wave analysis of substrate integrated waveguide with reduced model method

Feng

Chen

2011

2011 IEEE Electrical Design of Advanced Packaging and Systems Symposium (EDAPS)

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A -LU decomposition-based direct method enhanced second-order Krylov subspace projection based model order reduction (MOR) is presented. The construction of the projection matrix is the most important process in the Krylov subspace projection based MOR where an inverse of the sparse matrix is involved in the construction of the projection matrix. It will be intractable for the computational capacity of a personal computer when the size of the problem is large. A -LU decomposition-based direct method is employed to the MOR. Numerical results for the analysis of the substrate integrated waveguide (SIW) bandpass filter demonstrate the validity of the proposed algorithm.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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FEM full-wave analysis of substrate integrated waveguide with reduced model method

Feng

Chen

2011

2011 IEEE Electrical Design of Advanced Packaging and Systems Symposium (EDAPS)

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“…In [8], we proposed the use nodal order reduction via bilinear conformal transformation (NORBCT) algorithm for second order systems. In this paper we further demonstrate the application of the algorithm for a susceptance element equivalent circuit [9], extracted from a larger problem, through a second level Krylov subspace method. Further, we explore the choice of the Laguerre parameter and its effect on the convergence of the model order reduction process.…”

Section: Introductionmentioning

confidence: 99%

“…The susceptance element equivalent circuit obtained from discretized electromagnetic equations in two dimensions[9]. the electrical fields and the inter-nodal coupling maps to the branch currents.…”

mentioning

confidence: 99%

On the choice of Laguerre parameter in nodal order reduction via bilinear conformal transformation

Narayanan

Swaminathan

2010

19th Topical Meeting on Electrical Performance of Electronic Packaging and Systems

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The influence of Laguerre parameter in nodal order reduction via bilinear conformal transformation is explored. The nodal order reduction via bilinear conformal transformation method is used for the electromagnetic simulations in second order form. The use of a second level Krylov subspace process enables the application of the algorithm to a larger problem. The choice of Laguerre parameter and its effect on the convergence of the reduction process is shown. A guideline for choosing this parameter is proposed. The method is applied for the reduction of a band-pass filter structure and a power island structure.978-1-4244-6867-6/10/$26.00 ©2010 IEEE

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An efficient second‐order model reduction enhanced by H‐LU for the finite element method full‐wave electromagnetic simulations

Li¹,

Chen²,

Wan³

et al. 2011

Micro & Optical Tech Letters

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In this work, a UWB BPF based on the uniform MMR using a pair of MMRs is proposed. All three resonant frequencies within the UWB BPF are reassigned and the spacing g between the two parallel-coupled MMRs is properly regulated, a UWB filter with high performances is obtained. Measured results show high performances with insertion loss lower than 2 dB (from 3.1 to 7.5 GHz lower than 0.5 dB) and return loss higher than 10 dB (from 3.2 to 8.9 GHz higher than 15 dB) as well as group delay variation less than 0.18 ns within the UWB passband (3.1-10.6 GHz).

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Preconditioned Second-Order Multi-Point Passive Model Reduction for Electromagnetic Simulations

Cited by 10 publications

References 45 publications

FEM full-wave analysis of substrate integrated waveguide with reduced model method

FEM full-wave analysis of substrate integrated waveguide with reduced model method

On the choice of Laguerre parameter in nodal order reduction via bilinear conformal transformation

An efficient second‐order model reduction enhanced by H‐LU for the finite element method full‐wave electromagnetic simulations

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