Journal Article10.1109/TAP.2020.2970024
Direct Solution of Finite Element-Boundary Integral System for Electromagnetic Analysis in Half-Space
Ting Wan,Mengzhe Li,L. F. Li +2 more
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TL;DR: 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 and is well-suited for multiple right-hand side (RHS) computations.
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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.
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Citations
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