二维周动力学的二阶吸收边界条件

IF 1.9 3区数学 Q2 Mathematics

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique Pub Date : 2023-09-06 DOI:10.1051/m2an/2023072

Gang Pang, Songsong Ji, Leiyu Chao

{"title":"二维周动力学的二阶吸收边界条件","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":"{\"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}","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

摘要

本文的目的是对具有人工边界条件(abc)的非局部现象的二维周动力学进行数值分析。为此，提出了完全离散周动力的人工边界条件。然后，对完全离散格式进行了数值分析，使人工边界条件能以二阶精度解决角反射问题。最后给出数值算例对理论结果进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique 数学-应用数学

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.