Hybrid FEM-DDM and BEM-BoR for the Analysis of Multiscale Composite Structures

We propose a novel scheme to accelerate the computation of the finite-element method-boundary element method (FEM-BEM) for 3-D electromagnetic scattering. It builds on the FEM-domain decomposition method (FEM-DDM) and the degenerated boundary element method (BEM) developed for the body of revolution...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2020-06, Vol.68 (6), p.4753-4763
Main Authors: Jia, Ping-Hao, Liu, Qing Huo, Chen, Yongpin, Huang, Wei-Feng, Li, Xianjin, Nie, Zaiping, Hu, Jun
Format: Article
Language:English
Subjects:
Acceleration
Antennas
Body of revolution (BoR)
Boundary conditions
Boundary element method
Composite structures
Computer simulation
Couplings
Decomposition
domain decomposition method (DDM)
Domain decomposition methods
Electromagnetic scattering
Finite element analysis
Finite element method
finite-element method-boundary element method-body of revolution (FEM-BEM-BoR)
Integral equations
Mathematical analysis
Multiscale analysis
nonconformal curved mesh
Nonlinear programming
Surface impedance
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Summary:We propose a novel scheme to accelerate the computation of the finite-element method-boundary element method (FEM-BEM) for 3-D electromagnetic scattering. It builds on the FEM-domain decomposition method (FEM-DDM) and the degenerated boundary element method (BEM) developed for the body of revolution (BoR), which is, thus, referred to as BEM-BoR. When coupled with FEM in the framework of domain decomposition, the infinite computational domain is truncated by a closed rotationally symmetric surface enclosing the 3-D scatterer, and BEM-BoR is then applied on this surface as a radiation boundary condition (RBC). The finite-domain interior to this surface is further decomposed into several subdomains, which are connected by the second-order transmission conditions (SOTCs) imposed on nonconformal meshes. We refer to the resultant solver as a hybrid FEM-DDM and BEM-BoR (FEM-BEM-BoR). Since BEM-BoR can be divided into several 2-D problems instead of the original 3-D one, the proposed FEM-BEM-BoR is more efficient than the original FEM-BEM. Numerical examples are presented, and the comparisons of the simulation results with FEM-BEM confirm the accuracy and efficiency improvement of FEM-BEM-BoR. In addition, its practical applicability is demonstrated by modeling large-scale objects.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2020.2972607