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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.
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]
Copyright of IEEE Transactions on Antennas & Propagation is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Direct Solution of Finite Element-Boundary Integral System for Electromagnetic Analysis in Half-Space.
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  Data: <searchLink fieldCode="AR" term="%22Wan%2C+T%2E%22">Wan, T.</searchLink><relatesTo>1</relatesTo><i> want@njupt.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Li%2C+M%2E+Z%2E%22">Li, M. Z.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Li%2C+L%2E+F%2E%22">Li, L. F.</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="DE" term="%22Singular+value+decomposition%22">Singular value decomposition</searchLink><br /><searchLink fieldCode="DE" term="%22System+analysis%22">System analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Electromagnetic+wave+scattering%22">Electromagnetic wave scattering</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+decomposition%22">Matrix decomposition</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+algorithms%22">Approximation algorithms</searchLink>
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of IEEE Transactions on Antennas & Propagation is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1109/TAP.2020.2970024
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        Text: English
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        Type: general
      – SubjectFull: System analysis
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Electromagnetic wave scattering
        Type: general
      – SubjectFull: Matrix decomposition
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      – SubjectFull: Approximation algorithms
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      – TitleFull: Direct Solution of Finite Element-Boundary Integral System for Electromagnetic Analysis in Half-Space.
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              Text: Aug2020
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