Edge-based finite element frequency and time domain algorithms for RCS computation

Mahadevan, K.; Mittra, R.; Rowse, D. P.; Murphy, Joseph E.

doi:10.1109/aps.1993.385523

“…These schemes fall into two categories. One directly discretizes Maxwell's equations [6]- [9], [18], which typically results in an explicit, finite difference-like leap-frog scheme that does not leverage our extensive knowledge of frequency-domain FE solvers. The other discretizes the second-order vector wave equation, also known as the curl-curl equation, obtained by eliminating one of the field variables from Maxwell's equations [10]- [16], [19].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional orthogonal vector basis functions for time-domain finite element solution of vector wave equations

Jiao¹,

Jin

²

2003

IEEE Trans. Antennas Propagat.

40

0

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Three-dimensional (3-D) orthogonal vector basis functions are developed for the time-domain finite element solution of vector wave equations. These basis functions enforce both the tangential continuity of the electric field and the normal continuity of the electric flux. The stability of the resulting time-domain finite element schemes is investigated and demonstrated to be guaranteed. The use of the proposed basis functions completely eliminates the matrix solution at each time step required by the time-domain finite element solution of vector wave equations. The computational cost thereby scales as () with and denoting the number of time steps and the number of unknowns, respectively. Defined over tetrahedral elements, the proposed basis functions increase the solution efficiency without compromising the geometry modeling flexibility. Both numerical results and comparison with traditional vector basis functions demonstrate the accuracy as well as the efficiency of the proposed three-dimensional orthogonal vector bases.

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“…These schemes fall into two categories. One directly discretizes Maxwell's equations [6]- [9], [18], which typically results in an explicit, finite difference-like leap-frog scheme that does not leverage our extensive knowledge of frequency-domain FE solvers. The other discretizes the second-order vector wave equation, also known as the curl-curl equation, obtained by eliminating one of the field variables from Maxwell's equations [10]- [16], [19].…”

mentioning

confidence: 99%