On the convergence of the transfinite‐element method

2007 ◽  
Vol 26 (3) ◽  
pp. 600-611
Author(s):  
B. Weiß ◽  
O. Bíró ◽  
P. Caldera ◽  
K. Hollaus ◽  
G. Paoli ◽  
...  
Keyword(s):  
Transfinite Element ◽  
Element Method

Transfinite Element Method Using the ${\bf A}$, $v$-Potential Formulation With Edge Elements in the Frequency Domain

2007 ◽  
Vol 43 (4) ◽  
pp. 1349-1352 ◽  
Author(s):  
C. Stockreiter ◽  
G. Matzenauer ◽  
O. Biro ◽  
P. Caldera ◽  
K. Preis ◽  
...  
Keyword(s):  
Frequency Domain ◽  
Edge Elements ◽  
Potential Formulation ◽  
Transfinite Element ◽  
Element Method

Total and Scattered Field Formulations in the Transfinite Element Method

2008 ◽  
Vol 44 (6) ◽  
pp. 778-781 ◽  
Author(s):  
I. Bardi ◽  
Z. Badics ◽  
Z.J. Cendes
Keyword(s):  
Scattered Field ◽  
Transfinite Element ◽  
Element Method

Hybrid LSFEM and transfinite element method for microwave circuits

2000 ◽  
Vol 36 (10) ◽  
pp. 881 ◽  
Author(s):  
Ning Yuan ◽  
A.J. Parfitt ◽  
J.S. Kot
Keyword(s):  
Microwave Circuits ◽  
Transfinite Element ◽  
Element Method

Finite-element analysis of infinite and finite arrays

2012 ◽  
Vol 4 (3) ◽  
pp. 357-364 ◽  
Author(s):  
John B. Manges ◽  
John W. Silvestro ◽  
Kezhong Zhao
Keyword(s):  
Finite Element ◽  
Antenna Arrays ◽  
Domain Decomposition Method ◽  
Simulation Method ◽  
Element Analysis ◽  
Numerical Characterization ◽  
Infinite Array ◽  
Specialized Form ◽  
Transfinite Element ◽  
Element Method

This paper considers and compares the numerical characterization of regular planar antenna arrays from two viewpoints. In the case where the array is sufficiently large, the well-known infinite array idealization applies and a very efficient simulation method is presented which combines array theory with a specialized form of the finite-element method called the transfinite element method (TFEM). Alternatively, a more direct approach is discussed in which the entire antenna array is simulated as a finite structure using recent advances in the domain decomposition method (DDM). Taken together, the two methods provide a comprehensive simulation method for regular arrays from small order to very large order.

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