Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner

Gao, Longfei; Keyes, David E.

dc.contributor.author	Gao, Longfei
dc.contributor.author	Keyes, David E.
dc.date.accessioned	2018-12-06T07:08:04Z
dc.date.available	2018-03-06T06:50:08Z
dc.date.available	2018-12-06T07:08:04Z
dc.date.issued	2018-11-23
dc.identifier.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.
dc.identifier.issn	0021-9991
dc.identifier.doi	10.1016/j.jcp.2018.11.031
dc.identifier.uri	http://hdl.handle.net/10754/627227
dc.description.abstract	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.
dc.description.sponsorship	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.
dc.publisher	Elsevier BV
dc.relation.url	http://www.sciencedirect.com/science/article/pii/S0021999118307757
dc.rights	NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational Physics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational Physics, [, , (2018-11-23)] DOI: 10.1016/j.jcp.2018.11.031 . © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	Finite element method
dc.subject	finite difference method
dc.subject	interface treatment
dc.subject	elastic wave equation
dc.subject	discrete energy analysis
dc.subject	simultaneous approximation terms
dc.title	Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner
dc.type	Article
dc.contributor.department	Extreme Computing Research Center
dc.contributor.department	Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.department	Applied Mathematics and Computational Science Program
dc.identifier.journal	Journal of Computational Physics
dc.eprint.version	Post-print
dc.identifier.arxivid	1802.08324
kaust.person	Gao, Longfei
kaust.person	Keyes, David E.
kaust.grant.number	CCF-CAF/URF/1-2596
dc.version	v1
refterms.dateFOA	2018-06-13T18:47:51Z
dc.date.published-online	2018-11-23
dc.date.published-print	2019-02
dc.date.posted	2018-02-22