Nonconforming Galerkin methods for the Helmholtz equation

Nonconforming 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 e...

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Autores principales: Douglas Jr., Jim, Santos, Juan Enrique, Sheen, Dongwoo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Ciencias Exactas
Domain decomposition method
Helmholtz
Nonconforming finite element
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/100102
https://ri.conicet.gov.ar/11336/71731
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-100102
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Domain decomposition method
Helmholtz
Nonconforming finite element
spellingShingle Ciencias Exactas
Domain decomposition method
Helmholtz
Nonconforming finite element
Douglas Jr., Jim
Santos, Juan Enrique
Sheen, Dongwoo
Nonconforming Galerkin methods for the Helmholtz equation
topic_facet Ciencias Exactas
Domain decomposition method
Helmholtz
Nonconforming finite element
description Nonconforming 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.
format Articulo
Articulo
author Douglas Jr., Jim
Santos, Juan Enrique
Sheen, Dongwoo
author_facet Douglas Jr., Jim
Santos, Juan Enrique
Sheen, Dongwoo
author_sort Douglas Jr., Jim
title Nonconforming Galerkin methods for the Helmholtz equation
title_short Nonconforming Galerkin methods for the Helmholtz equation
title_full Nonconforming Galerkin methods for the Helmholtz equation
title_fullStr Nonconforming Galerkin methods for the Helmholtz equation
title_full_unstemmed Nonconforming Galerkin methods for the Helmholtz equation
title_sort nonconforming galerkin methods for the helmholtz equation
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/100102
https://ri.conicet.gov.ar/11336/71731
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bdutipo_str Repositorios
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