Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths
In this paper, a parallel nonoverlapping and nonconformal domain decomposition method (DDM) is proposed for fast and accurate analysis of electrically large objects in the condition of limited resources. The formulation of nonoverlapping DDM for PEC bodies is derived from combined-field integral equ...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2019/8195362 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552880175841280 |
|---|---|
| author | Qin Su Yingyu Liu Xunwang Zhao Zongjing Gu Chang Zhai Zhongchao Lin Weijun Wu |
| author_facet | Qin Su Yingyu Liu Xunwang Zhao Zongjing Gu Chang Zhai Zhongchao Lin Weijun Wu |
| author_sort | Qin Su |
| collection | DOAJ |
| description | In this paper, a parallel nonoverlapping and nonconformal domain decomposition method (DDM) is proposed for fast and accurate analysis of electrically large objects in the condition of limited resources. The formulation of nonoverlapping DDM for PEC bodies is derived from combined-field integral equation (CFIE), and an explicit boundary condition is applied to ensure the continuity of electric currents across the boundary. A parallel multilevel fast multipole algorithm (MLFMA) is extended to accelerate matrix-vector multiplications of subdomains as well as the coupling between them, and the coupling between different subdomains is computed in the manner of near field to avoid the storage of the mutual impedance. An improved adaptive direction partitioning scheme is applied to the oct-tree of MLFMA to achieve high parallel efficiency. Numerical examples demonstrate that the proposed method is able to simulate realistic problems with a maximum dimension greater than 2000 wavelengths. |
| format | Article |
| id | doaj-art-cdab0205554f43368732e63cc42f257c |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-cdab0205554f43368732e63cc42f257c2025-02-03T05:57:41ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772019-01-01201910.1155/2019/81953628195362Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand WavelengthsQin Su0Yingyu Liu1Xunwang Zhao2Zongjing Gu3Chang Zhai4Zhongchao Lin5Weijun Wu6Shaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi’an, Shaanxi 710071, ChinaShaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi’an, Shaanxi 710071, ChinaShaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi’an, Shaanxi 710071, ChinaShaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi’an, Shaanxi 710071, ChinaShaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi’an, Shaanxi 710071, ChinaShaanxi Key Laboratory of Large Scale Electromagnetic Computing, Xidian University, Xi’an, Shaanxi 710071, ChinaScience and Technology on Electromagnetic Compatibility Laboratory, China Ship Development and Design Center, Wuhan 430064, ChinaIn this paper, a parallel nonoverlapping and nonconformal domain decomposition method (DDM) is proposed for fast and accurate analysis of electrically large objects in the condition of limited resources. The formulation of nonoverlapping DDM for PEC bodies is derived from combined-field integral equation (CFIE), and an explicit boundary condition is applied to ensure the continuity of electric currents across the boundary. A parallel multilevel fast multipole algorithm (MLFMA) is extended to accelerate matrix-vector multiplications of subdomains as well as the coupling between them, and the coupling between different subdomains is computed in the manner of near field to avoid the storage of the mutual impedance. An improved adaptive direction partitioning scheme is applied to the oct-tree of MLFMA to achieve high parallel efficiency. Numerical examples demonstrate that the proposed method is able to simulate realistic problems with a maximum dimension greater than 2000 wavelengths.http://dx.doi.org/10.1155/2019/8195362 |
| spellingShingle | Qin Su Yingyu Liu Xunwang Zhao Zongjing Gu Chang Zhai Zhongchao Lin Weijun Wu Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths International Journal of Antennas and Propagation |
| title | Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths |
| title_full | Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths |
| title_fullStr | Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths |
| title_full_unstemmed | Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths |
| title_short | Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths |
| title_sort | parallel integral equation based nonoverlapping ddm for solving challenging electromagnetic scattering problems of two thousand wavelengths |
| url | http://dx.doi.org/10.1155/2019/8195362 |
| work_keys_str_mv | AT qinsu parallelintegralequationbasednonoverlappingddmforsolvingchallengingelectromagneticscatteringproblemsoftwothousandwavelengths AT yingyuliu parallelintegralequationbasednonoverlappingddmforsolvingchallengingelectromagneticscatteringproblemsoftwothousandwavelengths AT xunwangzhao parallelintegralequationbasednonoverlappingddmforsolvingchallengingelectromagneticscatteringproblemsoftwothousandwavelengths AT zongjinggu parallelintegralequationbasednonoverlappingddmforsolvingchallengingelectromagneticscatteringproblemsoftwothousandwavelengths AT changzhai parallelintegralequationbasednonoverlappingddmforsolvingchallengingelectromagneticscatteringproblemsoftwothousandwavelengths AT zhongchaolin parallelintegralequationbasednonoverlappingddmforsolvingchallengingelectromagneticscatteringproblemsoftwothousandwavelengths AT weijunwu parallelintegralequationbasednonoverlappingddmforsolvingchallengingelectromagneticscatteringproblemsoftwothousandwavelengths |