Spectral-element method with an optimal mass matrix for seismic wave modelling
文献类型：期刊论文
| 作者 | Liu, Shaolin1,2; Yang, Dinghui3; Xu, Xiwei1; Wang, Wenshuai4; Li, Xiaofan5; Meng, Xueli1,4 |
| 刊名 | EXPLORATION GEOPHYSICS
 |
| 出版日期 | 2022-02-25 |
| 页码 | 11 |
| ISSN号 | 0812-3985 |
| 关键词 | Spectral-element method numerical integration seismic wave modelling forward modelling |
| DOI | 10.1080/08123985.2022.2043126 |
| 英文摘要 | The spectral-element method (SEM), which combines the flexibility of the finite element method (FEM) with the accuracy of spectral method, has been successfully applied to simulate seismic wavefields in geological models on different scales. One kind of SEMs that adopts orthogonal Legendre polynomials is widely used in seismology community. In the SEM with orthogonal Legendre polynomials, the Gauss-Lobatto-Legendre (GLL) quadrature rule is employed to calculate the integrals involved in the SEM leading to a diagonal mass matrix. However, the GLL quadrature rule can exactly approximate only integrals with a polynomial degree below 2N-1 (N is the interpolation order in space) and cannot exactly calculate those of polynomials with degree 2N involved in the mass matrix. Therefore, the error of the mass matrix originating from inexact numerical integration may reduce the accuracy of the SEM. To improve the SEM accuracy, we construct a least-squares objective function in terms of numerical and exact integrals to increase the accuracy of the GLL quadrature rule. Then, we utilise the conjugate gradient method to solve the objective function and obtain a set of optimal quadrature weights. The optimal mass matrix can be obtained simultaneously by utilising the GLL quadrature rule with optimal integration weights. The improvement in the numerical accuracy of the SEM with an optimal mass matrix (OSEM) is demonstrated by theoretical analysis and numerical examples. |
| WOS关键词 | DISCONTINUOUS GALERKIN METHOD ; FINITE-DIFFERENCE ; PROPAGATION ; SCHEME ; DISPERSION ; EQUATION ; SIMULATIONS ; STABILITY ; OPERATORS ; DYNAMICS |
| 资助项目 | National Institute of Natural Hazards, Ministry of Emergency Management of China[ZDJ2019-18] ; National Natural Science Foundation of China[U1839206] ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution[SKL-K202101] |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| 出版者 | TAYLOR & FRANCIS LTD |
| WOS记录号 | WOS:000766119000001 |
| 资助机构 | National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Institute of Natural Hazards, Ministry of Emergency Management of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution ; Open Fund Project of the State Key Laboratory of Lithospheric Evolution |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/104977]  |
| 专题 | 地质与地球物理研究所_岩石圈演化国家重点实验室 |
| 通讯作者 | Yang, Dinghui |
| 作者单位 | 1.Natl Inst Nat Hazards, Minist Emergency Management China, Beijing, Peoples R China 2.Chinese Acad Sci, Inst Geol & Geophys, State Key Lab Lithospher Evolut, Beijing, Peoples R China 3.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 4.Ningxia Univ, Sch Math & Stat, Yinchuan, Ningxia, Peoples R China 5.China Univ Geosci, Inst Geophys & Geomat, Wuhan, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Shaolin,Yang, Dinghui,Xu, Xiwei,et al. Spectral-element method with an optimal mass matrix for seismic wave modelling[J]. EXPLORATION GEOPHYSICS,2022:11. |
| APA | Liu, Shaolin,Yang, Dinghui,Xu, Xiwei,Wang, Wenshuai,Li, Xiaofan,&Meng, Xueli.(2022).Spectral-element method with an optimal mass matrix for seismic wave modelling.EXPLORATION GEOPHYSICS,11. |
| MLA | Liu, Shaolin,et al."Spectral-element method with an optimal mass matrix for seismic wave modelling".EXPLORATION GEOPHYSICS (2022):11. |
入库方式： OAI收割
来源：地质与地球物理研究所
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