An effective domain-decomposition-based preconditioner for the FE-BI-MLFMA method for 3D scattering problems

Ming Lin Yang; Hong Wei Gao; Wei Song; Xin Qing Sheng

doi:10.1109/TAP.2014.2300159

An effective domain-decomposition-based preconditioner for the FE-BI-MLFMA method for 3D scattering problems

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

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

A domain-decomposition-based preconditioner (DDP) is presented for the hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA). The formulation of FE-BI is first approximated by the finite element method (FEM) with absorbing boundary condition (ABC). Then this approximate FEM-ABC formulation is solved by using the finite element tearing and interconnecting method (FETI). Finally, an inner-outer iterative algorithm with variable convergence threshold is designed for FE-BI-MLFMA. Because of good numerical scalability of FETI and good approximation of FEM-ABC, this DDP-FE-BI-MLFMA performs well even for large lossless objects.

源语言	英语
文章编号	6712109
页（从-至）	2263-2268
页数	6
期刊	IEEE Transactions on Antennas and Propagation
卷	62
期	4
DOI	https://doi.org/10.1109/TAP.2014.2300159
出版状态	已出版 - 4月 2014

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Yang, M. L., Gao, H. W., Song, W., & Sheng, X. Q. (2014). An effective domain-decomposition-based preconditioner for the FE-BI-MLFMA method for 3D scattering problems. IEEE Transactions on Antennas and Propagation, 62(4), 2263-2268. 文章 6712109. https://doi.org/10.1109/TAP.2014.2300159

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title = "An effective domain-decomposition-based preconditioner for the FE-BI-MLFMA method for 3D scattering problems",

abstract = "A domain-decomposition-based preconditioner (DDP) is presented for the hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA). The formulation of FE-BI is first approximated by the finite element method (FEM) with absorbing boundary condition (ABC). Then this approximate FEM-ABC formulation is solved by using the finite element tearing and interconnecting method (FETI). Finally, an inner-outer iterative algorithm with variable convergence threshold is designed for FE-BI-MLFMA. Because of good numerical scalability of FETI and good approximation of FEM-ABC, this DDP-FE-BI-MLFMA performs well even for large lossless objects.",

keywords = "Domain decomposition, FE-BI-MLFMA, FETI, preconditioner, scattering",

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

year = "2014",

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doi = "10.1109/TAP.2014.2300159",

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T1 - An effective domain-decomposition-based preconditioner for the FE-BI-MLFMA method for 3D scattering problems

AU - Yang, Ming Lin

AU - Gao, Hong Wei

AU - Song, Wei

AU - Sheng, Xin Qing

PY - 2014/4

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N2 - A domain-decomposition-based preconditioner (DDP) is presented for the hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA). The formulation of FE-BI is first approximated by the finite element method (FEM) with absorbing boundary condition (ABC). Then this approximate FEM-ABC formulation is solved by using the finite element tearing and interconnecting method (FETI). Finally, an inner-outer iterative algorithm with variable convergence threshold is designed for FE-BI-MLFMA. Because of good numerical scalability of FETI and good approximation of FEM-ABC, this DDP-FE-BI-MLFMA performs well even for large lossless objects.

AB - A domain-decomposition-based preconditioner (DDP) is presented for the hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA). The formulation of FE-BI is first approximated by the finite element method (FEM) with absorbing boundary condition (ABC). Then this approximate FEM-ABC formulation is solved by using the finite element tearing and interconnecting method (FETI). Finally, an inner-outer iterative algorithm with variable convergence threshold is designed for FE-BI-MLFMA. Because of good numerical scalability of FETI and good approximation of FEM-ABC, this DDP-FE-BI-MLFMA performs well even for large lossless objects.

KW - Domain decomposition

KW - FE-BI-MLFMA

KW - FETI

KW - preconditioner

KW - scattering

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An effective domain-decomposition-based preconditioner for the FE-BI-MLFMA method for 3D scattering problems

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