Acceleration of Augmented EFIE Using Multilevel Complex Source Beam Method
The computation of the augmented electric field integral equation (A-EFIE) is accelerated by using the multilevel complex source beam (MLCSB) method. As an effective solution of the low-frequency problem, A-EFIE includes both current and charge as unknowns to avoid the imbalance between the vector p...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2017/9640136 |
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| author | Lianning Song Yongpin Chen Ming Jiang Jun Hu Zaiping Nie |
| author_facet | Lianning Song Yongpin Chen Ming Jiang Jun Hu Zaiping Nie |
| author_sort | Lianning Song |
| collection | DOAJ |
| description | The computation of the augmented electric field integral equation (A-EFIE) is accelerated by using the multilevel complex source beam (MLCSB) method. As an effective solution of the low-frequency problem, A-EFIE includes both current and charge as unknowns to avoid the imbalance between the vector potentials and the scalar potentials in the conventional EFIE. However, dense impedance submatrices are involved in the A-EFIE system, and the computational cost becomes extremely high for problems with a large number of unknowns. As an exact solution to Maxwell’s equations, the complex source beam (CSB) method can be well tailored for A-EFIE to accelerate the matrix-vector products in an iterative solver. Different from the commonly used multilevel fast multipole algorithm (MLFMA), the CSB method is free from the problem of low-frequency breakdown. In our implementation, the expansion operators of CSB are first derived for the vector potentials and the scalar potentials. Consequently, the aggregation and disaggregation operators are introduced to form a multilevel algorithm to reduce the computational complexity. The accuracy and efficiency of the proposed method are discussed in detail through a variety of numerical examples. It is observed that the numerical error of the MLCSB-AEFIE keeps constant for a broad frequency range, indicating the good stability and scalability of the proposed method. |
| format | Article |
| id | doaj-art-4ec2f4a0be50477db08837261bf23623 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-4ec2f4a0be50477db08837261bf236232025-08-20T03:36:31ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772017-01-01201710.1155/2017/96401369640136Acceleration of Augmented EFIE Using Multilevel Complex Source Beam MethodLianning Song0Yongpin Chen1Ming Jiang2Jun Hu3Zaiping Nie4Department of Microwave Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, ChinaDepartment of Microwave Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, ChinaDepartment of Microwave Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, ChinaDepartment of Microwave Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, ChinaDepartment of Microwave Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, ChinaThe computation of the augmented electric field integral equation (A-EFIE) is accelerated by using the multilevel complex source beam (MLCSB) method. As an effective solution of the low-frequency problem, A-EFIE includes both current and charge as unknowns to avoid the imbalance between the vector potentials and the scalar potentials in the conventional EFIE. However, dense impedance submatrices are involved in the A-EFIE system, and the computational cost becomes extremely high for problems with a large number of unknowns. As an exact solution to Maxwell’s equations, the complex source beam (CSB) method can be well tailored for A-EFIE to accelerate the matrix-vector products in an iterative solver. Different from the commonly used multilevel fast multipole algorithm (MLFMA), the CSB method is free from the problem of low-frequency breakdown. In our implementation, the expansion operators of CSB are first derived for the vector potentials and the scalar potentials. Consequently, the aggregation and disaggregation operators are introduced to form a multilevel algorithm to reduce the computational complexity. The accuracy and efficiency of the proposed method are discussed in detail through a variety of numerical examples. It is observed that the numerical error of the MLCSB-AEFIE keeps constant for a broad frequency range, indicating the good stability and scalability of the proposed method.http://dx.doi.org/10.1155/2017/9640136 |
| spellingShingle | Lianning Song Yongpin Chen Ming Jiang Jun Hu Zaiping Nie Acceleration of Augmented EFIE Using Multilevel Complex Source Beam Method International Journal of Antennas and Propagation |
| title | Acceleration of Augmented EFIE Using Multilevel Complex Source Beam Method |
| title_full | Acceleration of Augmented EFIE Using Multilevel Complex Source Beam Method |
| title_fullStr | Acceleration of Augmented EFIE Using Multilevel Complex Source Beam Method |
| title_full_unstemmed | Acceleration of Augmented EFIE Using Multilevel Complex Source Beam Method |
| title_short | Acceleration of Augmented EFIE Using Multilevel Complex Source Beam Method |
| title_sort | acceleration of augmented efie using multilevel complex source beam method |
| url | http://dx.doi.org/10.1155/2017/9640136 |
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