Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner
Type
ArticleAuthors
Gao, LongfeiKeyes, David E.

KAUST Department
Extreme Computing Research CenterComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Applied Mathematics and Computational Science Program
KAUST Grant Number
CCF-CAF/URF/1-2596Date
2018-11-23Preprint Posting Date
2018-02-22Online Publication Date
2018-11-23Print Publication Date
2019-02Permanent link to this record
http://hdl.handle.net/10754/627227
Metadata
Show full item recordAbstract
We consider numerical simulation of the isotropic elastic wave equations arising from seismic applications with non-trivial land topography. The more flexible finite element method is applied to the shallow region of the simulation domain to account for the topography, and combined with the more efficient finite difference method that is applied to the deep region of the simulation domain. We demonstrate that these two discretization methods, albeit starting from different formulations of the elastic wave equation, can be joined together smoothly via weakly imposed interface conditions. Discrete energy analysis is employed to derive the proper interface treatment, leading to an overall discretization that is energy-conserving. Numerical examples are presented to demonstrate the efficacy of the proposed interface treatment.Citation
Gao L, Keyes D (2019) Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner. Journal of Computational Physics 378: 665–685. Available: http://dx.doi.org/10.1016/j.jcp.2018.11.031.Sponsors
The authors gratefully acknowledge the support of KAUST's Office of Sponsored Research under CCF-CAF/URF/1-2596. The authors would also like to thank the anonymous reviewers for their thoughtful suggestions and comments that have led to significant improvements in this article.Publisher
Elsevier BVJournal
Journal of Computational PhysicsarXiv
1802.08324Additional Links
http://www.sciencedirect.com/science/article/pii/S0021999118307757ae974a485f413a2113503eed53cd6c53
10.1016/j.jcp.2018.11.031