Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation

doi:10.4208/eajam.260122.280422

CSpace

	Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation
	Zhang, Wensheng 1,2; Joardar, Atish Kumar 2,3
	2022-11-01
发表期刊	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
卷号	12 期号:4 页码:891-911
摘要	The stability of high-order finite-difference schemes on a staggered-grid for two-dimensional poroelastic wave equations with spatially varying material parameters is studied. Using the energy method, we obtain sufficient stability conditions. This al-lows to find suitable time and spatial steps according to material parameters and the difference scheme coefficients. Two numerical examples verify the theoretical analysis and show that the corresponding range for the time step is close to that in the neces-sary condition. The perfectly matched layer is adopted in order to eliminate boundary reflections.
关键词	Stability poroelastic wave equation energy method high-order scheme wave simulation
DOI	10.4208/eajam.260122.280422
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11471328] ; National Natural Science Foundation of China[51739007] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences of the Chinese Academy of Sciences ; World Academy of Sciences for CAS-TWAS Fellowship
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000863290100008
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60881
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Wensheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Islamic Univ, Dept Math, Kushtia 7003, Bangladesh
推荐引用方式 GB/T 7714	Zhang, Wensheng,Joardar, Atish Kumar. Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2022,12(4):891-911.
APA	Zhang, Wensheng,&Joardar, Atish Kumar.(2022).Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,12(4),891-911.
MLA	Zhang, Wensheng,et al."Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 12.4(2022):891-911.