A nonstandard schwarz domain decomposition method for finite-element mesh truncation of infinite arrays

Daniel Garcia-Donoro; Luis Emilio Garcia-Castillo; Tapan Kumar Sarkar; Yu Zhang

doi:10.1109/TAP.2018.2866532

A nonstandard schwarz domain decomposition method for finite-element mesh truncation of infinite arrays

Daniel Garcia-Donoro, Luis Emilio Garcia-Castillo, Tapan Kumar Sarkar, Yu Zhang

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A nonstandard Schwarz domain decomposition method is proposed as finite-element mesh truncation for the analysis of infinite arrays. The proposed methodology provides an (asymptotic) numerically exact radiation condition regardless of the distance to the sources of the problem and without disturbing the original sparsity of the finite-element matrices. Furthermore, it works as a multi Floquet mode (propagating and evanescent) absorbing boundary condition. Numerical results illustrating main features of the proposed methodology are shown.

Original language	English (US)
Article number	8443383
Pages (from-to)	6179-6190
Number of pages	12
Journal	IEEE Transactions on Antennas and Propagation
Volume	66
Issue number	11
DOIs	https://doi.org/10.1109/TAP.2018.2866532
State	Published - Nov 1 2018

Keywords

Finite element method (FEM)
infinite array
mesh truncation
Schwarz domain decomposition method (DDM)

ASJC Scopus subject areas

Electrical and Electronic Engineering

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abstract = "A nonstandard Schwarz domain decomposition method is proposed as finite-element mesh truncation for the analysis of infinite arrays. The proposed methodology provides an (asymptotic) numerically exact radiation condition regardless of the distance to the sources of the problem and without disturbing the original sparsity of the finite-element matrices. Furthermore, it works as a multi Floquet mode (propagating and evanescent) absorbing boundary condition. Numerical results illustrating main features of the proposed methodology are shown.",

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AU - Garcia-Castillo, Luis Emilio

AU - Sarkar, Tapan Kumar

AU - Zhang, Yu

PY - 2018/11/1

Y1 - 2018/11/1

N2 - A nonstandard Schwarz domain decomposition method is proposed as finite-element mesh truncation for the analysis of infinite arrays. The proposed methodology provides an (asymptotic) numerically exact radiation condition regardless of the distance to the sources of the problem and without disturbing the original sparsity of the finite-element matrices. Furthermore, it works as a multi Floquet mode (propagating and evanescent) absorbing boundary condition. Numerical results illustrating main features of the proposed methodology are shown.

AB - A nonstandard Schwarz domain decomposition method is proposed as finite-element mesh truncation for the analysis of infinite arrays. The proposed methodology provides an (asymptotic) numerically exact radiation condition regardless of the distance to the sources of the problem and without disturbing the original sparsity of the finite-element matrices. Furthermore, it works as a multi Floquet mode (propagating and evanescent) absorbing boundary condition. Numerical results illustrating main features of the proposed methodology are shown.

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KW - Schwarz domain decomposition method (DDM)

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