正交各向异性半平面上sh波散射问题的径向PML GFDM

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-06-11 DOI:10.1016/j.aml.2025.109661

Suxiao Hou, Jiaxin Li, Linlin Sun

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引用次数: 0

摘要

本文应用广义有限差分法（GFDM）求解正交各向异性半平面上的sh波散射问题。由于GFDM需要进行域离散化，因此使用人工边界截断原本无限的计算域，在该边界之外实现径向完美匹配层（PML）以有效吸收出波。通过结合边界和界面条件，在有限域和PML区域内使用GFDM公式来制定控制方程的线性矩阵系统。为了验证该方法的准确性和可行性，进行了sh波在不同山谷几何形状下散射的数值实验。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A GFDM with radial PML for SH-wave scattering problems in an orthotropic half plane

This paper presents an application of the generalized finite difference method (GFDM) to solve SH-wave scattering problems in orthotropic half-planes. Since GFDM necessitates domain discretization, the originally infinite computational domain is truncated using an artificial boundary, beyond which a radial perfectly matched layer (PML) is implemented to effectively absorb outgoing waves. By incorporating boundary and interface conditions, a linear matrix system is formulated using GFDM formulations for the governing equations within both the finite domain and the PML region. Numerical experiments involving SH-wave scattering across various valley geometries are conducted to validate the accuracy and feasibility of the proposed approach.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.