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STABILITY FOR IMPOSING ABSORBING BOUNDARY CONDITIONS IN THE FINITE ELEMENT SIMULATION OF ACOUSTIC WAVE PROPAGATION
Zhang Wensheng1; Chung Eric T2; Wang Chaowei1
2014
Source PublicationJournal of Computational Mathematics
ISSN0254-9409
Volume32Issue:1Pages:1
AbstractIt is well-known that artificial boundary conditions are crucial for the efficient and accurate computations of wavefields on unbounded domains. In this paper, we investigate stability analysis for the wave equation coupled with the first and the second order absorbing boundary conditions. The computational scheme is also developed. The approach allows the absorbing boundary conditions to be naturally imposed, which makes it easier for us to construct high order schemes for the absorbing boundary conditions. A third-order Lagrange finite element method with mass lumping is applied to obtain the spatial discretization of the wave equation. The resulting scheme is stable and is very efficient since no matrix inversion is needed at each time step. Moreover, we have shown both abstract and explicit conditional stability results for the fully-discrete schemes. The results are helpful for designing computational parameters in computations. Numerical computations are illustrated to show the efficiency and accuracy of our method. In particular, essentially no boundary reflection is seen at the artificial boundaries.
Language英语
Funding Project[National Center for Mathematics and Interdisciplinary Sciences in Academy of Mathematics and Systems Science, Chinese Academy of Sciences] ; [State Key Project]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/45378
Collection计算数学与科学工程计算研究所
Affiliation1.中国科学院数学与系统科学研究院
2.香港中文大学
Recommended Citation
GB/T 7714
Zhang Wensheng,Chung Eric T,Wang Chaowei. STABILITY FOR IMPOSING ABSORBING BOUNDARY CONDITIONS IN THE FINITE ELEMENT SIMULATION OF ACOUSTIC WAVE PROPAGATION[J]. Journal of Computational Mathematics,2014,32(1):1.
APA Zhang Wensheng,Chung Eric T,&Wang Chaowei.(2014).STABILITY FOR IMPOSING ABSORBING BOUNDARY CONDITIONS IN THE FINITE ELEMENT SIMULATION OF ACOUSTIC WAVE PROPAGATION.Journal of Computational Mathematics,32(1),1.
MLA Zhang Wensheng,et al."STABILITY FOR IMPOSING ABSORBING BOUNDARY CONDITIONS IN THE FINITE ELEMENT SIMULATION OF ACOUSTIC WAVE PROPAGATION".Journal of Computational Mathematics 32.1(2014):1.
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