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

被引：0
作者：
Pang, Gang [1 ]
Ji, Songsong [2 ]
Chao, Leiyu [3 ]
机构：
[1] Beihang Univ, Sch Math Sci, Beijing 102206, Peoples R China
[2] Peking Univ, Coll Engn, HEDPS CAPT & LTCS, Beijing 100871, Peoples R China
[3] Beihang Univ, Sch Phys & Nucl Energy Engn, Beijing 102206, Peoples R China
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2023年 / 57卷 / 05期
关键词：
Two-dimensional peridynamics; artificial boundary condition; corner reflection; discrete Green's function; numerical analysis; PERFECTLY MATCHED LAYERS; HEAT-EQUATIONS; SCHRODINGER;
D O I：
10.1051/m2an/2023072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：3029 / 3059
页数：31
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