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A Time-Domain Discontinuous Galerkin Method Based on the Robin Transmission Condition

This paper introduces a discontinuous Galerkin method for the vector wave equation, incorporating Robin transmission conditions (RTC-DGTD), devised to address time-domain electromagnetic problems. The proposed RTC-DGTD method divides the vector E-field wave equation into n non-overlapping subdomains...

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Bibliographic Details
Main Authors: Yang, Yu, Niu, Kaikun, Yang, Lixia, Zhao, Luyu
Format: Conference Proceeding
Language:English
Subjects:
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Summary:This paper introduces a discontinuous Galerkin method for the vector wave equation, incorporating Robin transmission conditions (RTC-DGTD), devised to address time-domain electromagnetic problems. The proposed RTC-DGTD method divides the vector E-field wave equation into n non-overlapping subdomains and introduces numerical flux to facilitate the exchange of information among adjacent subdomains. In addition, to further improve the computational power, a (FETI)-like solving strategy is employed to divide the global matrix into smaller local matrix equations for parallel operation. In comparison to the conventional time-domain finite element method (TDFEM) method, the RTC-DGTD algorithm, as proposed, demonstrates notable advancements in both computation time and requisite memory space efficiency.
ISSN:2768-2552
DOI:10.1109/ICCEM60619.2024.10558860