Trimmed multilevel fast multipole algorithm for D-type volume ıntegral equations

Date
2022-09-21
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Source Title
Antennas and Propagation Society International Symposium
Print ISSN
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Publisher
Institute of Electrical and Electronics Engineers
Volume
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Pages
1936 - 1937
Language
English
Type
Conference Paper
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Abstract

In this work, we present a trimming scheme for the multilevel tree structure of multilevel fast multipole algorithm (MLFMA), which is applied on D-type volume integral equations. With this approach, the number of iterations and the durations of matrix-vector multiplications are significantly reduced for the solution of multi-scale volumetric problems. The trimming operation is performed on rows and columns of the impedance matrix. In order to eliminate the matrix columns, the current coefficients are estimated via machine learning techniques. The implementation particularly provides significant acceleration for the iterative solutions of electrically large volumetric problems.

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Keywords
MLFMA, Volume integral equations, Machine learning
Citation
Published Version (Please cite this version)