论文标题
电磁应用中差异方案的准确性：Trefftz分析
Accuracy of Difference Schemes in Electromagnetic Applications: a Trefftz Analysis
论文作者
论文摘要
本文研究了电磁分析中有限差异方案的局部近似误差。尽管该主题有悠久的历史，但几个与准确性有关的问题被忽视和/或仍然存在争议。例如，文献中已经提出了关于倾斜或弯曲材料界面附近类似YEE的方案顺序的矛盾主张。提出了两种比较差异方案局部准确性的新型实用方法：一种利用TREFFTZ测试矩阵，另一种依赖于方案非trefftz子空间中的近似准确性的新量度。一个特殊的结论是，不可避免的是在倾斜材料边界上类似YEE样方案的准确性损失。
The paper examines local approximation errors of finite difference schemes in electromagnetic analysis. Despite a long history of the subject, several accuracy-related issues have been overlooked and/or remain controversial. For example, conflicting claims have been made in the literature about the order of Yee-like schemes in the vicinity of slanted or curved material interfaces. Two novel practical methods for comparison of local accuracy of difference schemes are proposed: one makes use of Trefftz test matrices, and the other one relies on a new measure of approximation accuracy in scheme-exact Trefftz subspaces. One particular conclusion is that a loss of accuracy for Yee-like schemes at slanted material boundaries is unavoidable.
