# Introduction to VisualWorks.An application approach - download pdf or read online

By Painter R.A.

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N. Montgomery, R. Hutchins, and D. J. Riley, “Thin-wire hybrid FETD/FDTD broadband antenna predictions,” USNC/URSI Natl. Radio Sci. Mtg. , p. 194, July 2001. 82. D. Jiao and J. M. Jin, “Time-domain ﬁnite element simulation of cavity-backed microstrip patch antennas,” Microwave Opt. Tech. , vol. 32, no. 4, pp. 251–254, Feb. 2002. 83. F. Edelvik, G. Ledfelt, P. Lotstedt, and D. J. Riley, “An unconditionally stable subcell model for arbitrarily oriented thin wires in the FETD method,” IEEE Trans. , vol.

A preconditioner can be constructed based on physical insight into the problem or on the structure of the original matrix.

The convolution term and Q(t) can be evaluated by using various approaches discussed in the preceding sections. Here, we summarize their evaluations by using the approach that renders the time-marching solution unconditionally stable. 113) 0 ↔ χ ke = (k+1/2) t (k−1/2) t ↔ χ e (τ ) dτ k > 0. 114) ↔ As shown earlier, if χ e can be represented by a pole expansion, this convolution can be evaluated efﬁciently by using a recursive relation. 103) to obtain ↔ μ0 μ∞ · ∂H(t) ∂H(t) ↔ ↔ = −∇ × E(t) − σ m · H(t) − μ0 χ m (t) ∗ − Mimp (t).