SPURIOUS MODES IN FINITE-ELEMENT METHODS
SPURIOUS MODES IN FINITE-ELEMENT METHODS
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DOI：
10.1109/74.475860
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发表时间：
1995-10-01
影响因子：
3.5
通讯作者：
CENDES, Z
中科院分区：
文献类型：
--
作者：
SUN, D;MANGES, J;CENDES, Z
本文介绍了伪模式的问题，出现与矢量波方程的有限元解。它解释了这个问题是由波动方程的静态解的不一致近似引起的。切向矢量有限元的描述，强制执行切向连续的矢量场，但离开法向分量不连续。结果表明，切向元素提供了一致的近似的静态解波动问题，伪模式不会产生这种类型的有限元。所提出的理论的应用包括从微波和天线设计的问题，从电磁兼容性。
This paper describes the problem of spurious modes that appear with finite-element solutions of the vector wave equation. It explains that this problem is caused by inconsistent approximations of the static solutions to the wave equation. Tangential-vector finite elements are described that enforce the tangential continuity of the vector field, but leave the normal component discontinuous. It is shown that tangential elements provide consistent approximations of the static solutions to wave problems, and that spurious modes are not produced by this type of finite element. Applications of the theory presented include problems from microwave and antenna design, and from electromagnetic compatibility.