{"title":"A second-order absorbing boundary condition for two-dimensional peridynamics","authors":"Gang Pang, Songsong Ji, Leiyu Chao","doi":"10.1051/m2an/2023072","DOIUrl":null,"url":null,"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 peridynamcis are proposed. Then, the numerical analysis of the fully discretized scheme is developed such that the artificial boundary conditions solve the corner reflection problem with second-order accuracy. Finally numerical examples are given to verify theoretical results.","PeriodicalId":50499,"journal":{"name":"Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique","volume":"41 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1051/m2an/2023072","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
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 peridynamcis are proposed. Then, the numerical analysis of the fully discretized scheme is developed such that the artificial boundary conditions solve the corner reflection problem with second-order accuracy. Finally numerical examples are given to verify theoretical results.
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