Hierarchical interpolative decomposition multilevel fast multipole algorithm for dynamic electromagnetic simulations

Xiaomin Pan*, Xinqing Sheng

*Corresponding author for this work

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Abstract

A hierarchical interpolative decomposition multilevel fast multipole algorithm (ID-MLFMA) is proposed to handle multiscale, dynamic electromagnetic problems. The hierarchical scheme to conduct the ID skeletonization and to implement the matrix vector multiplication is discussed. A strategy to improve the effciency of ID skeletonization is developed. The hierarchical ID-MLFMA are investigated by numerical experiments on complex targets, demonstrating the capability of the hierarchical ID-MLFMA.

Original languageEnglish
Pages (from-to)79-94
Number of pages16
JournalProgress in Electromagnetics Research
Volume134
DOIs
Publication statusPublished - 2012

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Pan, X., & Sheng, X. (2012). Hierarchical interpolative decomposition multilevel fast multipole algorithm for dynamic electromagnetic simulations. Progress in Electromagnetics Research, 134, 79-94. https://doi.org/10.2528/PIER12101001