Finite Element Methods for Maxwell's Equations
Finite Element Methods for Maxwell's Equations
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DOI：
10.1093/acprof:oso/9780198508885.001.0001
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发表时间：
2003-06
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影响因子：
--
通讯作者：
P. Monk
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文献类型：
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作者：
P. Monk
我们综述了用于逼近时谐麦克斯韦方程组的有限元方法。我们着重比较具有空间变化系数问题的误差估计。对于协调棱边有限元方法，这类估计至少允许分段光滑系数。但是对于间断伽辽金（DG）方法，误差分析的现有技术水平还不太先进（我们考虑三种DG方法族：内罚型、可杂交DG以及Trefftz型方法）。然而，与协调方法相比，DG方法具有显著的潜在优势。
We survey finite element methods for approximating the time harmonic Maxwell equations. We concentrate on comparing error estimates for problems with spatially varying coefficients. For the conforming edge finite element methods, such estimates allow, at least, piecewise smooth coefficients. But for Discontinuous Galerkin (DG) methods, the state of the art of error analysis is less advanced (we consider three DG families of methods: Interior Penalty type, Hybridizable DG, and Trefftz type methods). Nevertheless, DG methods offer significant potential advantages compared to conforming methods.