Mixed discretization of CFIE in the framework of MLFMA
The conventional combined-field integral equation (CFIE)using a Galerkin scheme suffers from inaccuracy issues due to the incorrect testing of the identity operator in the magnetic-field integral equation (MFIE). In this contribution, a mixed discretization scheme is used for correct testing of MFIE...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/148663 |
| _version_ | 1811683333144313856 |
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| author | Güler, S. Yücel, Abdulkadir C. Bağci, H. Ergül, Ö |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Güler, S. Yücel, Abdulkadir C. Bağci, H. Ergül, Ö |
| author_sort | Güler, S. |
| collection | NTU |
| description | The conventional combined-field integral equation (CFIE)using a Galerkin scheme suffers from inaccuracy issues due to the incorrect testing of the identity operator in the magnetic-field integral equation (MFIE). In this contribution, a mixed discretization scheme is used for correct testing of MFIE in the context of CFIE. The projection of testing spaces of EFIE and MFIE onto each other is required while solving CFIE numerically with the mixed discretization scheme. For this purpose, computations of the Gram matrix inversions are required to perform the projection operations. Such an operation can easily become computationally expensive, especially when solving large-scale problems using accelerated algorithms, such as the multilevel fast multipole algorithm (MLFMA). In this work, matrix decomposition methods and iterative solvers are used to solve Gram systems while solving CFIE with the mixed discretization scheme in the framework of MLFMA. The accuracy and efficiency of the results are compared, in the context of large-scale problems. |
| first_indexed | 2024-10-01T04:11:04Z |
| format | Conference Paper |
| id | ntu-10356/148663 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:11:04Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1486632021-10-18T08:18:53Z Mixed discretization of CFIE in the framework of MLFMA Güler, S. Yücel, Abdulkadir C. Bağci, H. Ergül, Ö School of Electrical and Electronic Engineering 2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama) Engineering::Electrical and electronic engineering Electromagnetics Integral Equations The conventional combined-field integral equation (CFIE)using a Galerkin scheme suffers from inaccuracy issues due to the incorrect testing of the identity operator in the magnetic-field integral equation (MFIE). In this contribution, a mixed discretization scheme is used for correct testing of MFIE in the context of CFIE. The projection of testing spaces of EFIE and MFIE onto each other is required while solving CFIE numerically with the mixed discretization scheme. For this purpose, computations of the Gram matrix inversions are required to perform the projection operations. Such an operation can easily become computationally expensive, especially when solving large-scale problems using accelerated algorithms, such as the multilevel fast multipole algorithm (MLFMA). In this work, matrix decomposition methods and iterative solvers are used to solve Gram systems while solving CFIE with the mixed discretization scheme in the framework of MLFMA. The accuracy and efficiency of the results are compared, in the context of large-scale problems. 2021-10-18T08:18:53Z 2021-10-18T08:18:53Z 2019 Conference Paper Güler, S., Yücel, A. C., Bağci, H. & Ergül, Ö. (2019). Mixed discretization of CFIE in the framework of MLFMA. 2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama), 1500-1505. https://dx.doi.org/10.23919/PIERS.2018.8597735 https://hdl.handle.net/10356/148663 10.23919/PIERS.2018.8597735 1500 1505 en © 2018 IEICE. All rights reserved. 6 p. |
| spellingShingle | Engineering::Electrical and electronic engineering Electromagnetics Integral Equations Güler, S. Yücel, Abdulkadir C. Bağci, H. Ergül, Ö Mixed discretization of CFIE in the framework of MLFMA |
| title | Mixed discretization of CFIE in the framework of MLFMA |
| title_full | Mixed discretization of CFIE in the framework of MLFMA |
| title_fullStr | Mixed discretization of CFIE in the framework of MLFMA |
| title_full_unstemmed | Mixed discretization of CFIE in the framework of MLFMA |
| title_short | Mixed discretization of CFIE in the framework of MLFMA |
| title_sort | mixed discretization of cfie in the framework of mlfma |
| topic | Engineering::Electrical and electronic engineering Electromagnetics Integral Equations |
| url | https://hdl.handle.net/10356/148663 |
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