Explicit finite element method with triangle meshes stored by sparse format and its perfectly matched layers absorbing boundary condition

doi:10.6038/cjg20130921

	Explicit finite element method with triangle meshes stored by sparse format and its perfectly matched layers absorbing boundary condition
	Liu You-Shan 1,2; Teng Ji-Wen 1; Liu Shao-Lin 1; Xu Tao 1
刊名	CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
	2013-09-01
卷号	56 期号:9 页码:3085-3099
关键词	Explicit Finite Element Method Compressive Store Row (Csr) Format Lumped Mass Matrix Newmark Algorithm Pml Absorbing Boundary Condition Spectral Element Method
ISSN号	0001-5733
DOI	10.6038/cjg20130921
文献子类	Article
英文摘要	Finite element method is a useful tool for realistically modeling seismic wave in complex medium and displaying seismic wave fields in a quite detailed way. However, finite element method needs a large number of mesh grids for the high accuracy simulation of seismic wave, and suffers from large computational amount and computer memory resource. To surmount the mentioned shortages above, in this paper, the so called compressed spare row (CSR) method is adopted to reduce the computational amount and memory occupation of FEM; a diagonal mass matrix is obtained by using the lumped mass matrix rather the consistent mass matrix ( explicit finite element method) to improve the computational efficiency; Newmark algorithm which has the property of energy-momentum conserving is used to improve the computational accuracy; and the artificial truncated boundaries is dealt with by the perfectly matched layer (PML) in variational form (weak. form). The numerical tests demonstrate that the techniques mentioned above introduced to FEM make a significant improvement compared with spectral element method (SEM) which has a high computational accuracy. To obtain a comparable accuracy, the meshes of EFEM must be finer than that of SEM. The computational speed of EFEM is about 2 times faster than that of SEM with 7-order interpolation whereas the computer memory occupation amount of the former is about 4 similar to 6 times less than that of the latter.
WOS关键词	ELASTIC-WAVE-PROPAGATION ; NUMERICAL-SIMULATION ; HETEROGENEOUS MEDIA ; SEISMIC RESPONSE ; DISPERSION ANALYSIS ; SURFACE-TOPOGRAPHY ; DIFFERENCE METHOD ; EVANESCENT WAVES ; RAYLEIGH-WAVES ; PML
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000328723600021
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/86508]
专题	中国科学院地质与地球物理研究所
通讯作者	Liu You-Shan
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu You-Shan,Teng Ji-Wen,Liu Shao-Lin,et al. Explicit finite element method with triangle meshes stored by sparse format and its perfectly matched layers absorbing boundary condition[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2013,56(9):3085-3099.
APA	Liu You-Shan,Teng Ji-Wen,Liu Shao-Lin,&Xu Tao.(2013).Explicit finite element method with triangle meshes stored by sparse format and its perfectly matched layers absorbing boundary condition.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,56(9),3085-3099.
MLA	Liu You-Shan,et al."Explicit finite element method with triangle meshes stored by sparse format and its perfectly matched layers absorbing boundary condition".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 56.9(2013):3085-3099.