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dc.contributor.authorJiang, Lijian
dc.contributor.authorEfendiev, Yalchin R.
dc.contributor.authorGinting, Victor
dc.date.accessioned2016-02-25T12:42:00Z
dc.date.available2016-02-25T12:42:00Z
dc.date.issued2010-08
dc.identifier.citationJiang L, Efendiev Y, Ginting V (2010) Analysis of global multiscale finite element methods for wave equations with continuum spatial scales. Applied Numerical Mathematics 60: 862–876. Available: http://dx.doi.org/10.1016/j.apnum.2010.04.011.
dc.identifier.issn0168-9274
dc.identifier.doi10.1016/j.apnum.2010.04.011
dc.identifier.urihttp://hdl.handle.net/10754/597557
dc.description.abstractIn this paper, we discuss a numerical multiscale approach for solving wave equations with heterogeneous coefficients. Our interest comes from geophysics applications and we assume that there is no scale separation with respect to spatial variables. To obtain the solution of these multiscale problems on a coarse grid, we compute global fields such that the solution smoothly depends on these fields. We present a Galerkin multiscale finite element method using the global information and provide a convergence analysis when applied to solve the wave equations. We investigate the relation between the smoothness of the global fields and convergence rates of the global Galerkin multiscale finite element method for the wave equations. Numerical examples demonstrate that the use of global information renders better accuracy for wave equations with heterogeneous coefficients than the local multiscale finite element method. © 2010 IMACS.
dc.description.sponsorshipWe are grateful to reviewers who provided many insightful comments and suggestions to improve presentation of the paper. L. Jiang would like to acknowledge partial support from Chinese NSF 10901050. Y. Efendiev would like to acknowledge a partial support from NSF and DOE. Efendiev's work was also partially supported by Award Number KUS-CI-016-04, made by King Abdullah University of Science and Technology (KAUST). V. Ginting's work was supported in part by the Department of Energy (DE-NT00047-30).
dc.publisherElsevier BV
dc.subjectContinuum scales
dc.subjectGalerkin multiscale finite element
dc.subjectWave equations
dc.titleAnalysis of global multiscale finite element methods for wave equations with continuum spatial scales
dc.typeArticle
dc.identifier.journalApplied Numerical Mathematics
dc.contributor.institutionHunan Normal University, Changsha, China
dc.contributor.institutionUniversity of Minnesota Twin Cities, Minneapolis, United States
dc.contributor.institutionTexas A and M University, College Station, United States
dc.contributor.institutionUniversity of Wyoming, Laramie, United States
kaust.grant.numberKUS-CI-016-04


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