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