A second-order absorbing boundary condition for two-dimensional peridynamics

Gang Pang; Songsong Ji; Leiyu Chao

doi:10.1051/m2an/2023072

A second-order absorbing boundary condition for two-dimensional peridynamics

Gang Pang^*
, Songsong Ji
, Leiyu Chao

^*此作品的通讯作者

数学科学学院

Peking University
Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

The aim of this paper is to develop numerical analysis for the two-dimensional peridynamics which depicts nonlocal phenomena with artificial boundary conditions (ABCs). To this end, the artificial boundary conditions for the fully discretized peridynamics are proposed. Then, the numerical analysis of the fully discretized scheme is developed such that the ABCs solve the corner reflection problem with second-order accuracy. Finally numerical examples are given to verify theoretical results.

源语言	英语
页（从-至）	3029-3059
页数	31
期刊	ESAIM: Mathematical Modelling and Numerical Analysis
卷	57
期	5
DOI	https://doi.org/10.1051/m2an/2023072
出版状态	已出版 - 1 9月 2023

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abstract = "The aim of this paper is to develop numerical analysis for the two-dimensional peridynamics which depicts nonlocal phenomena with artificial boundary conditions (ABCs). To this end, the artificial boundary conditions for the fully discretized peridynamics are proposed. Then, the numerical analysis of the fully discretized scheme is developed such that the ABCs solve the corner reflection problem with second-order accuracy. Finally numerical examples are given to verify theoretical results.",

keywords = "Artificial boundary condition, Corner reflection, Discrete Green's function, Numerical analysis, Two-dimensional peridynamics",

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AU - Ji, Songsong

AU - Chao, Leiyu

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N2 - The aim of this paper is to develop numerical analysis for the two-dimensional peridynamics which depicts nonlocal phenomena with artificial boundary conditions (ABCs). To this end, the artificial boundary conditions for the fully discretized peridynamics are proposed. Then, the numerical analysis of the fully discretized scheme is developed such that the ABCs solve the corner reflection problem with second-order accuracy. Finally numerical examples are given to verify theoretical results.

AB - The aim of this paper is to develop numerical analysis for the two-dimensional peridynamics which depicts nonlocal phenomena with artificial boundary conditions (ABCs). To this end, the artificial boundary conditions for the fully discretized peridynamics are proposed. Then, the numerical analysis of the fully discretized scheme is developed such that the ABCs solve the corner reflection problem with second-order accuracy. Finally numerical examples are given to verify theoretical results.

KW - Artificial boundary condition

KW - Corner reflection

KW - Discrete Green's function

KW - Numerical analysis

KW - Two-dimensional peridynamics

UR - https://www.scopus.com/pages/publications/85175055377

U2 - 10.1051/m2an/2023072

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A second-order absorbing boundary condition for two-dimensional peridynamics

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