Domain decomposition FE-BI-MLFMA method for scattering by 3D inhomogeneous objects

Hong Wei Gao; Ming Lin Yang; Xin Qing Sheng

doi:10.2528/PIER13033101

Domain decomposition FE-BI-MLFMA method for scattering by 3D inhomogeneous objects

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

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

The hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is a powerful method for calculating scattering by inhomogeneous objects. However, the conventional FE-BI-MLFMA often suffers from iterative convergence problems. A non-overlapping domain decomposition method (DDM) is applied to FE-BI-MLFMA to speed up the iterative convergence. Furthermore, a preconditioner based on absorbing boundary condition and symmetric successive over relaxation (ABC-SSOR) is constructed to further accelerate convergence of the DDM-FE-BI-MLFMA. Numerical experiments demonstrate the efficiency of the proposed preconditioned DDM-FE-BI-MLFMA.

Original language	English
Pages (from-to)	407-422
Number of pages	16
Journal	Progress in Electromagnetics Research
Volume	139
DOIs	https://doi.org/10.2528/PIER13033101
Publication status	Published - 2013

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title = "Domain decomposition FE-BI-MLFMA method for scattering by 3D inhomogeneous objects",

abstract = "The hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is a powerful method for calculating scattering by inhomogeneous objects. However, the conventional FE-BI-MLFMA often suffers from iterative convergence problems. A non-overlapping domain decomposition method (DDM) is applied to FE-BI-MLFMA to speed up the iterative convergence. Furthermore, a preconditioner based on absorbing boundary condition and symmetric successive over relaxation (ABC-SSOR) is constructed to further accelerate convergence of the DDM-FE-BI-MLFMA. Numerical experiments demonstrate the efficiency of the proposed preconditioned DDM-FE-BI-MLFMA.",

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

year = "2013",

doi = "10.2528/PIER13033101",

language = "English",

volume = "139",

pages = "407--422",

journal = "Progress in Electromagnetics Research",

issn = "1070-4698",

publisher = "Electromagnetics Academy",

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T1 - Domain decomposition FE-BI-MLFMA method for scattering by 3D inhomogeneous objects

AU - Gao, Hong Wei

AU - Yang, Ming Lin

AU - Sheng, Xin Qing

PY - 2013

Y1 - 2013

N2 - The hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is a powerful method for calculating scattering by inhomogeneous objects. However, the conventional FE-BI-MLFMA often suffers from iterative convergence problems. A non-overlapping domain decomposition method (DDM) is applied to FE-BI-MLFMA to speed up the iterative convergence. Furthermore, a preconditioner based on absorbing boundary condition and symmetric successive over relaxation (ABC-SSOR) is constructed to further accelerate convergence of the DDM-FE-BI-MLFMA. Numerical experiments demonstrate the efficiency of the proposed preconditioned DDM-FE-BI-MLFMA.

AB - The hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is a powerful method for calculating scattering by inhomogeneous objects. However, the conventional FE-BI-MLFMA often suffers from iterative convergence problems. A non-overlapping domain decomposition method (DDM) is applied to FE-BI-MLFMA to speed up the iterative convergence. Furthermore, a preconditioner based on absorbing boundary condition and symmetric successive over relaxation (ABC-SSOR) is constructed to further accelerate convergence of the DDM-FE-BI-MLFMA. Numerical experiments demonstrate the efficiency of the proposed preconditioned DDM-FE-BI-MLFMA.

UR - http://www.scopus.com/inward/record.url?scp=84877316971&partnerID=8YFLogxK

U2 - 10.2528/PIER13033101

DO - 10.2528/PIER13033101

M3 - Article

AN - SCOPUS:84877316971

SN - 1070-4698

VL - 139

SP - 407

EP - 422

JO - Progress in Electromagnetics Research

JF - Progress in Electromagnetics Research

ER -

Domain decomposition FE-BI-MLFMA method for scattering by 3D inhomogeneous objects

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