A Simplified Discontinuous Galerkin Self-Dual Integral Equation Formulation for Electromagnetic Scattering From Extremely Large IBC Objects

Xiao Wei Huang; Ming Lin Yang; Xin Qing Sheng

doi:10.1109/TAP.2021.3137485

A Simplified Discontinuous Galerkin Self-Dual Integral Equation Formulation for Electromagnetic Scattering From Extremely Large IBC Objects

Xiao Wei Huang, Ming Lin Yang^*, Xin Qing Sheng

^*Corresponding author for this work

School of Integrated Circuits and Electronics

Beijing Institute of Technology

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

14 Citations (Scopus)

Abstract

The mechanism of each term in the discontinuous Galerkin (DG) method is analyzed and studied numerically. A simplified DG self-dual integral equation (SDIE) formulation is proposed for solving electromagnetic scattering from large-scale objects with impedance boundary condition (IBC). Numerical results show that the proposed formulation is more flexible and memory saving than the conventional DG formulations, especially for implementing the multilevel fast multipole algorithm (MLFMA). Moreover, a massively parallel strategy of the MLFMA is employed to further strengthen its capability for electrically large problems. Numerical experiments demonstrate the accuracy and efficiency of the proposed formulation for analyzing electromagnetic scattering problems of IBC objects with billions of unknowns.

Original language	English
Pages (from-to)	3575-3586
Number of pages	12
Journal	IEEE Transactions on Antennas and Propagation
Volume	70
Issue number	5
DOIs	https://doi.org/10.1109/TAP.2021.3137485
Publication status	Published - 1 May 2022

Keywords

Discontinuous Galerkin (DG) method
electromagnetic scattering
impedance boundary condition (IBC)
integral equations
parallel computing

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10.1109/TAP.2021.3137485

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title = "A Simplified Discontinuous Galerkin Self-Dual Integral Equation Formulation for Electromagnetic Scattering From Extremely Large IBC Objects",

abstract = "The mechanism of each term in the discontinuous Galerkin (DG) method is analyzed and studied numerically. A simplified DG self-dual integral equation (SDIE) formulation is proposed for solving electromagnetic scattering from large-scale objects with impedance boundary condition (IBC). Numerical results show that the proposed formulation is more flexible and memory saving than the conventional DG formulations, especially for implementing the multilevel fast multipole algorithm (MLFMA). Moreover, a massively parallel strategy of the MLFMA is employed to further strengthen its capability for electrically large problems. Numerical experiments demonstrate the accuracy and efficiency of the proposed formulation for analyzing electromagnetic scattering problems of IBC objects with billions of unknowns.",

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AB - The mechanism of each term in the discontinuous Galerkin (DG) method is analyzed and studied numerically. A simplified DG self-dual integral equation (SDIE) formulation is proposed for solving electromagnetic scattering from large-scale objects with impedance boundary condition (IBC). Numerical results show that the proposed formulation is more flexible and memory saving than the conventional DG formulations, especially for implementing the multilevel fast multipole algorithm (MLFMA). Moreover, a massively parallel strategy of the MLFMA is employed to further strengthen its capability for electrically large problems. Numerical experiments demonstrate the accuracy and efficiency of the proposed formulation for analyzing electromagnetic scattering problems of IBC objects with billions of unknowns.

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A Simplified Discontinuous Galerkin Self-Dual Integral Equation Formulation for Electromagnetic Scattering From Extremely Large IBC Objects

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