The convergence of the transfinite‐element (TFE) method for high frequency methods is analyzed in this paper. Two different potential formulations will be compared in the frequency and time domain.
The A*‐and A,v‐formulation for time domain and frequency domain transfinite elements are described. The convergence properties of the methods are investigated and demonstrated on a simple test problem.
It is shown that the convergence of the frequency domain method depends also on the discretization of areas where the field values do not change very much. A numerical example shows that for the calculation of the whole frequency range, the time domain approach is much more faster than the frequency domain method.
Further, work should also cover additional formulations like, e.g. the T,Φ‐formulation.
Pros and cons of different formulations and methods for solving high frequency problems for printed circuit boards or microwave structures are investigated.
The originality of the paper is the comparison, the discussion and the explanations of the convergence of the TFE method for wave propagation.
Weiß, B., Bíró, O., Caldera, P., Hollaus, K., Paoli, G., Preis, K. and Stockreiter, C. (2007), "On the convergence of the transfinite‐element method", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 26 No. 3, pp. 600-611. https://doi.org/10.1108/03321640710751082Download as .RIS
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