Singular boundary method for 3D time-harmonic electromagnetic scattering problems |
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| Affiliation: | 1. College of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi 330013, PR China;2. Department of Computational Science and Statistics, Nantong University, Nantong, Jiangsu 226019, PR China;1. College of Materials and Engineering, Qingdao University, Qingdao 266071, China;2. National Engineering Research Center for Intelligent Electrical Vehicle Power System, School of Mechanicelectric Engineering, Qingdao University, Qingdao 266071, China;3. Institute of Mechanics for Multifunctional Materials and Structures, Qingdao University, Qingdao 266071, China;4. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9-11, D-57076 Siegen, Germany;1. Department of Computational Science and Statistics, School of Science, Nantong University, Nantong, Jiangsu 226019, PR China;2. College of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, Jiangxi 330013, PR China;1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering & Center for Numerical Simulation Software in Engineering and Sciences, College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu 211100, China;2. College of Engineering and Computer Science, Australian National University, Canberra ACT 2601, Australia |
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| Abstract: | A frequency domain singular boundary method is presented for solving 3D time-harmonic electromagnetic scattering problem from perfect electric conductors. To avoid solving the coupled partial differential equations with fundamental solutions involving hypersingular terms, we decompose the governing equation into a system of independent Helmholtz equations with mutually coupled boundary conditions. Then the singular boundary method employs the fundamental solutions of the Helmholtz equations to approximate the scattered electric field variables. To desingularize the source singularity in the fundamental solutions, the origin intensity factors are introduced. In the novel formulation, only the origin intensity factors for fundamental solutions of 3D Helmholtz equations and its derivatives need to be considered which have been derived in the paper. Several numerical examples involving various perfectly conducting obstacles are carried out to demonstrate the validity and accuracy of the present method. |
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