A Symmetric FEM-IE Formulation With a Single-Level IE-QR Algorithm for Solving Electromagnetic Radiation and Scattering Problems

Vouvakis, Marinos N.; Lee, Seung‐Cheol; Zhao, Kun; Lee, Jin‐Fa

doi:10.1109/tap.2004.837525

Cited by 79 publications

(31 citation statements)

References 23 publications

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“…It has been shown that the hybrid finite element-boundary integralmultilevel fast multipole algorithm (FE-BI-MLFMA) is a general, accurate, and efficient computing technology for open region problems such as scattering/radiation problems (e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14]). The conventional algorithm (CA) of FE-BI-MLFMA presented in [10] is to directly apply the iterative solver to the whole hybrid FE-BI matrix equation.…”

Section: Introductionmentioning

confidence: 99%

An Efficient Twofold Iterative Algorithm of Fe-Bi-Mlfma Using Multilevel Inverse-Based Ilu Preconditioning

Peng¹,

Sheng

Yin³

2009

PIER

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Abstract-It is known that the conventional algorithm (CA) of hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) usually suffers the problem of slow convergence, and the decomposition algorithm (DA) is limited by large memory requirement. An efficient twofold iterative algorithm (TIA) of FE-BI-MLFMA is presented using the multilevel inverse-based incomplete LU (MIB-ILU) preconditioning in this paper. It is shown that this TIA can offer a good balance of efficiency between CPU time and memory requirement. The tree-cotree splitting technique is then employed in the TIA to further improve its efficiency and robustness. A variety of numerical experiments are performed in this paper, demonstrating that the TIA exhibits superior efficiency in memory and CPU time to DA and CA, and greatly improves the computing capability of FE-BI-MLFMA.

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Section: Introductionmentioning

confidence: 99%

An Efficient Twofold Iterative Algorithm of Fe-Bi-Mlfma Using Multilevel Inverse-Based Ilu Preconditioning

Peng¹,

Sheng

Yin³

2009

PIER

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“…In Figure 1, we show the condition numbers of the final matrix equations resulted from the symmetric couplings based on the Costabel approach [6,5] and the new proposed non-conformal coupling for a box computational domain.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Since then, quite a few papers being published on the topic of symmetric couplings. Among them, we list references [4,5,6,7]. In particular, references [5,6,7] dealt with variational formulations for solving electromagnetic wave radiation and scattering problems.…”

Section: Introductionmentioning

confidence: 99%

“…Among them, we list references [4,5,6,7]. In particular, references [5,6,7] dealt with variational formulations for solving electromagnetic wave radiation and scattering problems. Although the formulations detailed in [5,6,7] result in symmetric couplings between finite and boundary elements, they still suffer the notorious internal resonances.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, references [5,6,7] dealt with variational formulations for solving electromagnetic wave radiation and scattering problems. Although the formulations detailed in [5,6,7] result in symmetric couplings between finite and boundary elements, they still suffer the notorious internal resonances. The purpose of this chapter is to present a variational formulation, which couples finite and boundary elements through non-conformal meshes.…”

Section: Introductionmentioning

confidence: 99%

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