High order description of complex geometries for integral equation methods in electromagnetic scattering problems

2018 ◽  
Author(s):  
F. Vico ◽  
M. Ferrando-Bataller ◽  
E. Antonino-Daviu ◽  
M. Cabedo
Keyword(s):  
Integral Equation ◽  
Electromagnetic Scattering ◽  
High Order ◽  
Complex Geometries ◽  
Scattering Problems ◽  
Integral Equation Methods

Green’s Function Integral Equation Methods for Electromagnetic Scattering Problems

2018 ◽  
pp. 197-250
Author(s):  
Andrei V. Lavrinenko ◽  
Jesper Lægsgaard ◽  
Niels Gregersen ◽  
Frank Schmidt ◽  
Thomas Søndergaard
Keyword(s):  
Integral Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Electromagnetic Scattering ◽  
Scattering Problems ◽  
Integral Equation Methods

scholarly journals Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Qin Su ◽  
Yingyu Liu ◽  
Xunwang Zhao ◽  
Zongjing Gu ◽  
Chang Zhai ◽  
...  
Keyword(s):  
Integral Equation ◽  
Electromagnetic Scattering ◽  
Domain Decomposition Method ◽  
Near Field ◽  
Limited Resources ◽  
Accurate Analysis ◽  
Scattering Problems ◽  
Fast Multipole Algorithm ◽  
Matrix Vector ◽  
Field Integral

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.

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