| Issue |
ESAIM: M2AN
Volume 57, Number 5, September-October 2023
|
|
|---|---|---|
| Page(s) | 3029 - 3059 | |
| DOI | https://doi.org/10.1051/m2an/2023072 | |
| Published online | 06 October 2023 | |
A second-order absorbing boundary condition for two-dimensional peridynamics
1
School of Mathematical Science, Beihang University, Beijing 102206, P.R. China
2
HEDPS, CAPT, and LTCS, College of Engineering, Peking University, Beijing 100871, P.R. China
3
School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 102206, P.R. China
* Corresponding author: gangpang@buaa.edu.cn
Received:
20
May
2023
Accepted:
22
August
2023
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.
Mathematics Subject Classification: 35J10 / 65L20 / 65L10 / 65L12
Key words: Two-dimensional peridynamics / artificial boundary condition / corner reflection / discrete Green’s function / numerical analysis
© The authors. Published by EDP Sciences, SMAI 2023
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