Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation
文献类型:期刊论文
作者 | Zhang, Wensheng1,2; Joardar, Atish Kumar2,3 |
刊名 | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
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出版日期 | 2022-11-01 |
卷号 | 12期号:4页码:891-911 |
关键词 | Stability poroelastic wave equation energy method high-order scheme wave simulation |
ISSN号 | 2079-7362 |
DOI | 10.4208/eajam.260122.280422 |
英文摘要 | 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. |
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 |
语种 | 英语 |
WOS记录号 | WOS:000863290100008 |
出版者 | GLOBAL SCIENCE PRESS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60880] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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