TY - JOUR
T1 - Macro-elements for efficient fem simulation of small geometric features in waveguide components
AU - Zhu, Yu
AU - Cangellaris, Andreas C.
N1 - Funding Information:
Manuscript received March 3, 2000; revised August 21, 2000. This work was supported by the Motorola Center for Communications, College of Engineering, University of Illinois at Urbana-Champaign. The authors are with the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA (e-mail: [email protected]). Publisher Item Identifier S 0018-9480(00)10713-6.
PY - 2000
Y1 - 2000
N2 - This paper introduces a novel class of specially constructed elements aimed at the expedient finite-element modeling of waveguide components containing fine geometric/material features such as dielectric and conducting posts. Instead of utilizing a very fine grid to resolve such fine features, special elements are constructed that capture accurately the electromagnetic properties of the fine features. Since the size of these macro-elements is commensurate with the size of the elements of the grid used to discretize the volume in which the fine features are embedded, their use results in significant reduction in the number of unknowns in the finite-element approximation of the electromagnetic problem without sacrificing solution accuracy. The numerical implementation and effectiveness of the proposed macro-elements are demonstrated through several numerical experiments.
AB - This paper introduces a novel class of specially constructed elements aimed at the expedient finite-element modeling of waveguide components containing fine geometric/material features such as dielectric and conducting posts. Instead of utilizing a very fine grid to resolve such fine features, special elements are constructed that capture accurately the electromagnetic properties of the fine features. Since the size of these macro-elements is commensurate with the size of the elements of the grid used to discretize the volume in which the fine features are embedded, their use results in significant reduction in the number of unknowns in the finite-element approximation of the electromagnetic problem without sacrificing solution accuracy. The numerical implementation and effectiveness of the proposed macro-elements are demonstrated through several numerical experiments.
KW - Finite-element method
KW - Macro-element
KW - Model order reduction
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U2 - 10.1109/22.898972
DO - 10.1109/22.898972
M3 - Article
AN - SCOPUS:0034430366
SN - 0018-9480
VL - 48
SP - 2254
EP - 2260
JO - IEEE Transactions on Microwave Theory and Techniques
JF - IEEE Transactions on Microwave Theory and Techniques
IS - 12
ER -