Development and analysis of a new finite element method for the Cohen–Monk PML model
Development and analysis of a new finite element method for the Cohen–Monk PML model
复制标题
DOI：
10.1007/s00211-020-01166-4
复制
发表时间：
2021-01
影响因子：
2.1
通讯作者：
Meng Chen;Yunqing Huang;Jichun Li
中科院分区：
文献类型：
--
作者：
Meng Chen;Yunqing Huang;Jichun Li
本文研究的是Cohen-Monk完全匹配层（PML）模型。首先对其等价形式进行了稳定性分析。然后，我们提出并分析了一个有限元方案，解决这个等价的PML模型。离散稳定性和最优误差估计。数值结果证明了这种PML模型的分析和有效性。本文提出了这个PML模型的第一个数学分析和相应的数值分析所提出的有限元格式。
This work deals with the Cohen–Monk Perfectly Matched Layer (PML) model. We first carry out the stability analysis of its equivalent form. Then we propose and analyse a finite element scheme for solving this equivalent PML model. Discrete stability and optimal error estimate are established. Numerical results are presented to justify the analysis and effectiveness of this PML model. This paper presents the first mathematical analysis for this PML model and the corresponding numerical analysis for the proposed finite element scheme.