The time-harmonic Maxwell equations at high wavenumber k are discretized by edge elements of degree p on a mesh of width h. For the case of a ball as the computational domain and exact, transparent boundary conditions, we show quasi-optimality of the Galerkin method under the k-explicit scale resolution condition that (a) kh/p is sufficient small and (b) \(p/\ln k\) is bounded from below.

中文翻译：

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具有透明边界条件的麦克斯韦方程组的波数显式hp -FEM分析

高波数k的时谐麦克斯韦方程由宽度为h的网格上度为p的边缘元素离散。对于以球为计算域和精确，透明边界条件的情况，我们证明了在k显式尺度分辨率条件下，Galerkin方法的拟最优性，其中（a）kh / p足够小，并且（b）\（ p / \ ln k \）从下面限制。