Numerical solutions for Helmholtz equation with stochastic interface based on PML method

被引：1
|
作者：
Hao, Yongle [1 ]
Liu, Siyu [2 ]
Wang, Lin [3 ]
机构：
[1] ZhouKou Normal Univ, Sch Math & Stat, Zhoukou, Peoples R China
[2] Jilin Univ, Sch Publ Hlth, Changchun, Peoples R China
[3] Beijing Computat Sci Res Ctr, Beijing, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 404卷
基金：
中国国家自然科学基金;
关键词：
Grating problem; Stochastic interface; PML method; Shape derivative; Low-rank approximation; FINITE-ELEMENT-METHOD; DIFFRACTION GRATING PROBLEM; 2ND MOMENT ANALYSIS; ELLIPTIC PROBLEMS;
D O I：
10.1016/j.cam.2021.113877
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the stochastic interface for diffraction grating is considered and the model is formulated as the Helmholtz interface problems (HIPs). In order to have more accuracy simulation, PML boundary is used to describe the stochastic interface. Then we develop shape-Taylor expansion for the solution of HIPs, through perturbation method, we obtain the approximate simulations of second and third order. Error estimation and efficient computation of solutions by low-rank approximation are given. Finally, we illustrate these results with numerical simulations. (C) 2021 Elsevier B.V. All rights reserved.
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页数：12
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