A Cost-Effective Preconditioner for Complete Domain Decomposition Method of Hybrid Finite Element-Boundary Integral

Hong Wei Gao; Ming Lin Yang; Xin Qing Sheng

doi:10.1109/TAP.2018.2851439

A Cost-Effective Preconditioner for Complete Domain Decomposition Method of Hybrid Finite Element-Boundary Integral

Hong Wei Gao, Ming Lin Yang, Xin Qing Sheng^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

A complete domain decomposition method (CDDM) of hybrid finite element-boundary integral (FE-BI) has been proposed for accurately analyzing multiscale and heterogeneous electromagnetic problem recently. In this communication, a cost-effective additive Schwarz preconditioner is proposed to further improve the capability of the CDDM-FEBI for electrically large scattering and radiation problems. This preconditioner is obtained by rarefying the FE-BI submatrix based on the characteristics of boundary integral equation. Numerical experiments demonstrate that the consumption of CPU time and memory for constructing the proposed preconditioner is greatly reduced comparing with the previous one under the premise of ensuring fast convergence.

Original language	English
Article number	8399854
Pages (from-to)	4964-4969
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	66
Issue number	9
DOIs	https://doi.org/10.1109/TAP.2018.2851439
Publication status	Published - Sept 2018

Keywords

Domain decomposition method
finite element-boundary integral (FE-BI) method
preconditioner
radiation/scattering problem

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10.1109/TAP.2018.2851439

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title = "A Cost-Effective Preconditioner for Complete Domain Decomposition Method of Hybrid Finite Element-Boundary Integral",

abstract = "A complete domain decomposition method (CDDM) of hybrid finite element-boundary integral (FE-BI) has been proposed for accurately analyzing multiscale and heterogeneous electromagnetic problem recently. In this communication, a cost-effective additive Schwarz preconditioner is proposed to further improve the capability of the CDDM-FEBI for electrically large scattering and radiation problems. This preconditioner is obtained by rarefying the FE-BI submatrix based on the characteristics of boundary integral equation. Numerical experiments demonstrate that the consumption of CPU time and memory for constructing the proposed preconditioner is greatly reduced comparing with the previous one under the premise of ensuring fast convergence.",

keywords = "Domain decomposition method, finite element-boundary integral (FE-BI) method, preconditioner, radiation/scattering problem",

author = "Gao, {Hong Wei} and Yang, {Ming Lin} and Sheng, {Xin Qing}",

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T1 - A Cost-Effective Preconditioner for Complete Domain Decomposition Method of Hybrid Finite Element-Boundary Integral

AU - Gao, Hong Wei

AU - Yang, Ming Lin

AU - Sheng, Xin Qing

PY - 2018/9

Y1 - 2018/9

N2 - A complete domain decomposition method (CDDM) of hybrid finite element-boundary integral (FE-BI) has been proposed for accurately analyzing multiscale and heterogeneous electromagnetic problem recently. In this communication, a cost-effective additive Schwarz preconditioner is proposed to further improve the capability of the CDDM-FEBI for electrically large scattering and radiation problems. This preconditioner is obtained by rarefying the FE-BI submatrix based on the characteristics of boundary integral equation. Numerical experiments demonstrate that the consumption of CPU time and memory for constructing the proposed preconditioner is greatly reduced comparing with the previous one under the premise of ensuring fast convergence.

AB - A complete domain decomposition method (CDDM) of hybrid finite element-boundary integral (FE-BI) has been proposed for accurately analyzing multiscale and heterogeneous electromagnetic problem recently. In this communication, a cost-effective additive Schwarz preconditioner is proposed to further improve the capability of the CDDM-FEBI for electrically large scattering and radiation problems. This preconditioner is obtained by rarefying the FE-BI submatrix based on the characteristics of boundary integral equation. Numerical experiments demonstrate that the consumption of CPU time and memory for constructing the proposed preconditioner is greatly reduced comparing with the previous one under the premise of ensuring fast convergence.

KW - Domain decomposition method

KW - finite element-boundary integral (FE-BI) method

KW - preconditioner

KW - radiation/scattering problem

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JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 9

M1 - 8399854

ER -

A Cost-Effective Preconditioner for Complete Domain Decomposition Method of Hybrid Finite Element-Boundary Integral

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Keywords

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