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

Longfei Gao, David E. Keyes

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)665-685
Number of pages21
JournalJournal of Computational Physics
Volume378
DOIs
StatePublished - Nov 23 2018

Fingerprint Dive into the research topics of 'Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner'. Together they form a unique fingerprint.

Cite this