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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/eISSN0898-1221
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
DOI10.1016/j.camwa.2024.01.006
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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.
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