Direct Solution of Finite Element-Boundary Integral System for Electromagnetic Analysis in Half-Space.
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| Title: | Direct Solution of Finite Element-Boundary Integral System for Electromagnetic Analysis in Half-Space. |
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| Authors: | Wan, T.1 want@njupt.edu.cn, Li, M. Z.1, Li, L. F.1 |
| Source: | IEEE Transactions on Antennas & Propagation. Aug2020, Vol. 68 Issue 8, p6461-6466. 6p. |
| Subjects: | Singular value decomposition, System analysis, Algorithms, Electromagnetic wave scattering, Matrix decomposition, Approximation algorithms |
| Abstract: | An efficient direct solution scheme is presented to solve the finite element-boundary integral (FEBI) system for the analysis of open-region electromagnetic problems in half-space. Data-sparse representation based on hierarichal ($\mathcal {H}$ -) matrix is employed to construct the direct solution framework. The FEBI system matrix is first represented to be an $\mathcal {H}$ -matrix form, in which the FE submatrices are accurately represented by $\mathcal {H}$ -matrices, while the $\mathcal {H}$ -matrix approximations of the BI submatrices are constructed by the adaptive cross approximation algorithm combined with singular value decomposition recompression (ACA-SVD). Based on the data-sparse formatted algorithm, the lower and upper (LU) triangular factors of the FEBI system matrix can be computed and stores as $\mathcal {H}$ -matrix forms with low computational costs. The resulting method, refered to as the direct FEBI method (D-FEBI), is free of convergence problem and well-suited for multiple right-hand side (RHS) computations. The performance of the D-FEBI is examined by two examples of monostatic electromagnetic scattering above a lossy half-space. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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