Parallel Domain-Decomposition-Based Algorithm of Hybrid FE-BI-MLFMA Method for 3-D Scattering by Large Inhomogeneous Objects

Yang, Ming‐Lin; Gao, Hong-Wei; Sheng, Xin‐Qing

doi:10.1109/tap.2013.2271232

Cited by 41 publications

(10 citation statements)

References 32 publications

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“…Our simulations use the generalized minimum residual (GMRES) solver with the dimension of the Krylov subspace of 100. The residual error is 3 10 − , except for the experiments in Table II and Fig. 6, in which the residual error of GMRES is set to 5 10 − .…”

Section: Numerical Resultsmentioning

confidence: 99%

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A Discontinuous Galerkin Surface Integral Solution for Scattering From Homogeneous Objects With High Dielectric Constant

Kong

Huang

Sheng

2020

IEEE Trans. Antennas Propagat.

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The discontinuous Galerkin (DG) method for homogeneous bodies has been studied and shown to be an efficient tool for multi-scale homogeneous bodies. However, the slow convergence of DG with the block diagonal preconditioner (BDP) is still observed in solving high contrast homogeneous bodies. An efficient preconditioning approach is designed for the DG method in this communication by using the sparsing approach on the near-field matrix of the whole region. The iteration convergence speed of the DG method is improved while the computing resources for constructing the preconditioner are effectively reduced. Numerical experiments demonstrate the capability of the presented DG method for multi-scale homogeneous bodies, especially for those with a high dielectric constant.Index Terms-Discontinuous Galerkin method, homogeneous objects, high dielectric constant, multi-scale.

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Section: Numerical Resultsmentioning

confidence: 99%

“…he domain decomposition method (DDM) is an attractive method in solving large multi-scale electromagnetic problems [1][2][3][4][5]. By decomposing the solution domain into several parts, the DDM can improve the flexibility, parallelism and the matrix convergence of the solution for complex simulation targets.…”

Section: Introductionmentioning

confidence: 99%

A Discontinuous Galerkin Surface Integral Solution for Scattering From Homogeneous Objects With High Dielectric Constant

Kong

Huang

Sheng

2020

IEEE Trans. Antennas Propagat.

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“…The conformal FETI-DP DDM of FE-BI-MLFMA has been developed in [27][28][29] by using FETI-DP DDM. Based on these studies in [25][26][27][28][29], this paper will present a uniform, consistent, efficient formulation of FE-BI-MLFMA for conformal/non-conformal Schwarz algorithm, and conformal/nonconformal FETI-DP. The computational complexities of these fast DDMs are analyzed and studied numerically.…”

Section: Introductionmentioning

confidence: 99%

FAST DOMAIN DECOMPOSITION METHODS OF FE-BI-MLFMA FOR 3D SCATTERING/RADIATION PROBLEMS (Invited Paper)

Yang¹,

Gao²,

Sun³

et al. 2016

PIER

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Abstract-It has been widely verified that the hybrid finite element -boundary integral -multilevel fast multipole algorithm (FE-BI-MLFMA) is a general, efficient and accurate method for the analysis of unbounded electromagnetic problems. A variety of fast methods of FE-BI-MLFMA have been developed since 1998. In particular, the domain decomposition methods have been applied to FE-BI-MLFMA and significantly improve the efficiency of FE-BI-MLFMA in recent years. A series of fast domain decomposition methods (DDMs) of FE-BI-MLFMA have been developed. These fast DDMs can be roughly classified into two types: Schwarz DDMs and dual-primal finite element tearing and interconnecting (FETI-DP) DDMs. This paper will first give an overview of the DDMs development of FE-BI-MLFMA. Then a uniform, consistent, and efficient formulation is presented and discussed for these fast DDMs of FE-BI-MLFMA. Their computational complexities are analyzed and studied numerically.

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“…The FE-BI-MLFMA has shown to be a flexible, accurate and efficient method for dealing with scattering/radiation problems [15][16][17][18]. Recently, a domain decomposition method is presented for analyzing electromagnetic problems involving multiple separable scatterers such as an antenna array in [19].…”

Section: Introductionmentioning

confidence: 99%

Accurate and Efficient Analysis of Large Antenna Arrays With Radome on a Large Aircraft

Sun¹,

Yang²,

Sheng³

2015

PIER

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Abstract-An accurate and efficient computational approach is presented for analyzing radiation characteristics of large antenna arrays with radome. This approach is based on the hybrid finite elementboundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA). Unlike the conventional singledomain FE-BI-MLFMA, the whole domain of the antenna array with radome is separated into many disconnected domains. A large free space area unavoidable in the single-domain FE-BI-MLFMA is eliminated in this multi-domain FE-BI-MLFMA formulation, thus the number of unknowns is greatly reduced in the presented multi-domain FE-BI-MLFMA approach. Different from the single-domain FE-BI-MLFMA, many integral equations are required in this multi-domain FE-BI-MLFMA. The numerical experiment shows that the presented multi-domain FE-BI-MLFMA is more efficient than the singledomain one while maintaining the same accuracy. A whole complicated system of a slotted-waveguide array with radome mounted on an aircraft is analyzed to further demonstrate the generality and capability of the presented multi-domain FE-BI-MLFMA.

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Parallel Domain-Decomposition-Based Algorithm of Hybrid FE-BI-MLFMA Method for 3-D Scattering by Large Inhomogeneous Objects

Cited by 41 publications

References 32 publications

A Discontinuous Galerkin Surface Integral Solution for Scattering From Homogeneous Objects With High Dielectric Constant

A Discontinuous Galerkin Surface Integral Solution for Scattering From Homogeneous Objects With High Dielectric Constant

FAST DOMAIN DECOMPOSITION METHODS OF FE-BI-MLFMA FOR 3D SCATTERING/RADIATION PROBLEMS (Invited Paper)

Accurate and Efficient Analysis of Large Antenna Arrays With Radome on a Large Aircraft

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