A 54 parameter high-order 3-D edge-element approach based on full magnetic vector variational formulas is discussed.This approach eliminates the spurious solutions efficiently and possesses very high accuracy.The analyses of the scattering characteristics of some 3-D discontinuity problems in guided wave structures verify the effective and reliability of the present method.The comparison between the numerical results obtained with 54 and 12 parameter edge element methods shows that the present approach is more accurate and efficient.%该文从全磁场矢量泛函出发，讨论了一种54参量六面体边缘元的空间构造.这种高次三维边缘元方法不但有效地消除了伪解，而且具有很高的计算精度.用这种方法对导波结构三维不连续性散射问题的分析，证实了它的有效性和可靠性.与12参量六面体边缘元计算结果的比较表明：本文方法具有更高的精度和计算效率，是一种求解三维不连续性问题的高效数值方法，有着推广应用的实际价值.
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