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Higher‐order CN‐FETD method for analysis of microwave circuit structures
Author(s) -
Ding Dazhi Z.,
Ye Zhenbao B.,
Zhu Xiaoying Y.,
Du Lei
Publication year - 2012
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1840
Subject(s) - microwave , tetrahedron , basis (linear algebra) , order (exchange) , basis function , maxwell's equations , field (mathematics) , mathematics , computer science , physics , mathematical analysis , telecommunications , pure mathematics , geometry , finance , economics
SUMMARY In this paper, the hierarchical high‐order basis functions on tetrahedrons are introduced to the Crank–Nicolson (CN) finite‐element time‐domain (FETD) with the 3D Maxwell equations for analysis of the microwave circuit structures. Whitney 1‐form high‐order hierarchical basis functions are used to expand the electric field and Whitney 2‐form high‐order hierarchical basis functions for the magnetic field. The CN scheme is employed in the FETD method to lead to an unconditionally stable algorithm. Numerical results were presented to demonstrate the accuracy and efficiency of the proposed high‐order CN‐FETD method. Copyright © 2012 John Wiley & Sons, Ltd.