Nonconforming Galerkin methods for the Helmholtz equation

dc.creatorDouglas Jr., Jim
dc.creatorSantos, Juan Enrique
dc.creatorSheen, Dongwoo
dc.date2001-09
dc.date2020-07-07T14:13:16Z
dc.date.accessioned2023-07-14T20:34:51Z
dc.date.available2023-07-14T20:34:51Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/100102
dc.identifierhttps://ri.conicet.gov.ar/11336/71731
dc.identifierissn:0749-159X
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7439801
dc.descriptionNonconforming Galerkin methods for a Helmholtz-like problem arising in seismology are discussed both for standard simplicial linear elements and for several new rectangular elements related to bilinear or trilinear elements. Optimal order error estimates in a broken energy norm are derived for all elements and in L2 for some of the elements when proper quadrature rules are applied to the absorbing boundary condition. Domain decomposition iterative procedures are introduced for the nonconforming methods, and their convergence at a predictable rate is established.
dc.descriptionFacultad de Ciencias Astronómicas y Geofísicas
dc.formatapplication/pdf
dc.format475-494
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectCiencias Exactas
dc.subjectDomain decomposition method
dc.subjectHelmholtz
dc.subjectNonconforming finite element
dc.titleNonconforming Galerkin methods for the Helmholtz equation
dc.typeArticulo
dc.typeArticulo


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