Three-dimensional orthogonal vector basis functions for time-domain finite element solution of vector wave equations

Dan Jiao Dan Jiao,Jian-Ming Jin Jian-Ming Jin

doi:10.1109/aps.2001.960068

Three-dimensional orthogonal vector basis functions for time-domain finite element solution of vector wave equations

Dan Jiao Dan Jiao, Jian-Ming Jin Jian-Ming Jin

Open Access

https://doi.org/10.1109/aps.2001.960068

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Publication Date: Jul 8, 2001

Citations: 2

Affiliation: Urbana University, University of Illinois Urbana-Champaign

#Orthogonal Bases #Time-domain Finite Element + Show 8 more

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Abstract

This paper presents three-dimensional (3D) orthogonal vector basis functions for the time-domain finite element (TDFEM) solution of vector wave equations. Both completeness and orthogonality properties of the proposed bases are analyzed. The stability of the TDFEM using these orthogonal bases is examined. The efficiency and accuracy of the TDFEM rising the orthogonal bases are demonstrated by numerical results and comparison with the TDFEM using traditional vector basis functions.

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