| Time-accelerated integral equations for twodimensional transient scattering problems |
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| 引用本文： | 王建国. Time-accelerated integral equations for twodimensional transient scattering problems[J]. 中国科学F辑(英文版), 2003, 46(1): 1-13. DOI: 10.1360/03yf9001 |
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| 作者姓名： | 王建国 |
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| 作者单位： | Northwest Institute |
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| 摘 要： | Based on the Hilbert transform, this paper presents a totally new method to obtain the time-accelerated electric field, magnetic field and combined field integral equations for the two-dimensional transient scattering problems. The computational complexity of the time-accelerated integral equations is analysed, which can be reduced to O(N_s~2NtlogNt) from the conventional O(N_s~2N_t~2). Numerical results verify the computational complexity of this time-accelerated method, and show that the time-accelerated integral equations can provide accurate and stable solutions for both the open and closed objects.
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Time-accelerated integral equations for two-dimensional transient scattering problems |
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| Wang Jianguo. Time-accelerated integral equations for two-dimensional transient scattering problems[J]. Science in China(Information Sciences), 2003, 46(1): 1-13. DOI: 10.1360/03yf9001 |
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| Authors: | Wang Jianguo |
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| Affiliation: | Northwest Institute of Nuclear Technology, Xi'an 710024, China |
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| Abstract: | Based on the Hilbert transform, this paper presents a totally new method to obtain the time-accelerated electric field, magnetic field and combined field integral equations for the two-dimensional transient scattering problems. The computational complexity of the time-accelerated integral equations is analysed, which can be reduced to O(N_s~2NtlogNt) from the conventional O(N_s~2N_t~2). Numerical results verify the computational complexity of this time-accelerated method, and show that the time-accelerated integral equations can provide accurate and stable solutions for both the open and closed objects. |
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| Keywords: | Hilbert transform march-on-in-time time-accelerated integral equation. |
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