发表状态 | 已发表Published |
题名 | A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model |
作者 | |
发表日期 | 2024-03-15 |
发表期刊 | Computers and Mathematics with Applications
![]() |
ISSN/eISSN | 0898-1221 |
卷号 | 158页码:1-12 |
摘要 | In this work, a stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions (ABCs) is designed for solving a peridynamic diffusion model on the whole two dimensional domain. To do so, we first use a high-order quadrature-based finite difference scheme to approximate the spatially nonlocal operator and use the BDF2 scheme to approximate the temporal direction. For the resulting fully discrete system, we apply the nonlocal potential theory to obtain the discrete Dirichlet-to-Dirichlet (DtD)-type ABCs. After that, we further derive the Dirichlet-to-Neumann (DtN)-type ABCs based on the nonlocal Neumann data defined from the discrete nonlocal Green's first identity. For the stability and convergence analysis, we reformulate the BDF2 operator into a discrete convolution sum form, then use the technique of the discrete orthogonal convolution kernels to obtain the optimal convergence order. Finally, numerical experiments are provided to demonstrate the accuracy and effectiveness of the proposed approach. |
关键词 | Artificial boundary condition DtN-type map Peridynamic diffusion model Stability and convergence Unbounded domain |
DOI | 10.1016/j.camwa.2024.01.006 |
URL | 查看来源 |
收录类别 | SCIE |
语种 | 英语English |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:001164620700001 |
Scopus入藏号 | 2-s2.0-85182901879 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/11382 |
专题 | 理工科技学院 |
通讯作者 | Di, Yana |
作者单位 | 1.Research Center for Applied Mathematics and Machine Intelligence,Zhejiang Lab,Hangzhou,311121,China 2.Research Center for Mathematics,Beijing Normal University,Zhuhai,519087,China 3.Guangdong Key Laboratory of IRADS,BNU-HKBU United International College,Zhuhai,519087,China 4.School of Mathematics and Statistics,Wuhan University,Wuhan,430072,China 5.Hubei Key Laboratory of Computational Science,Wuhan University,Wuhan,430072,China |
通讯作者单位 | 北师香港浸会大学 |
推荐引用方式 GB/T 7714 | Wang, Jihong,Di, Yana,Yang, Jerry Zhijianet al. A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model[J]. Computers and Mathematics with Applications, 2024, 158: 1-12. |
APA | Wang, Jihong, Di, Yana, Yang, Jerry Zhijian, & Zhang, Jiwei. (2024). A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model. Computers and Mathematics with Applications, 158, 1-12. |
MLA | Wang, Jihong,et al."A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model". Computers and Mathematics with Applications 158(2024): 1-12. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论