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.
| Original language | English |
|---|---|
| Pages (from-to) | 3029-3059 |
| Number of pages | 31 |
| Journal | ESAIM: Mathematical Modelling and Numerical Analysis |
| Volume | 57 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Sep 2023 |
Keywords
- Artificial boundary condition
- Corner reflection
- Discrete Green's function
- Numerical analysis
- Two-dimensional peridynamics
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