On the supraconvergence of elliptic finite difference schemes

Bibliographic Details
Main Author: Ferreira, J. A.
Publication Date: 1998
Other Authors: Grigorieff, R. D.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/4663
https://doi.org/10.1016/S0168-9274(98)00048-8
Summary: This paper deals with the supraconvergence of elliptic finite difference schemes on variable grids for second order elliptic boundary value problems subject to Dirichlet boundary conditions in two-dimensional domains. The assumptions in this paper are less restrictive than those considered so far in the literature allowing also variable coefficients, mixed derivatives and polygonal domains. The nonequidistant grids we consider are more flexible than merely rectangular ones such that, e.g., local grid refinements are covered.
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spelling On the supraconvergence of elliptic finite difference schemesNonuniform gridsFinite difference schemeStabilitySupraconvergenceSuperconvergenceThis paper deals with the supraconvergence of elliptic finite difference schemes on variable grids for second order elliptic boundary value problems subject to Dirichlet boundary conditions in two-dimensional domains. The assumptions in this paper are less restrictive than those considered so far in the literature allowing also variable coefficients, mixed derivatives and polygonal domains. The nonequidistant grids we consider are more flexible than merely rectangular ones such that, e.g., local grid refinements are covered.http://www.sciencedirect.com/science/article/B6TYD-3V7HYHP-F/1/e94a07095d190b7957d1b578374d80471998info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttps://hdl.handle.net/10316/4663https://hdl.handle.net/10316/4663https://doi.org/10.1016/S0168-9274(98)00048-8engApplied Numerical Mathematics. 28:2-4 (1998) 275-292Ferreira, J. A.Grigorieff, R. D.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2020-11-06T16:59:46Zoai:estudogeral.uc.pt:10316/4663Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:13.243378Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv On the supraconvergence of elliptic finite difference schemes
title On the supraconvergence of elliptic finite difference schemes
spellingShingle On the supraconvergence of elliptic finite difference schemes
Ferreira, J. A.
Nonuniform grids
Finite difference scheme
Stability
Supraconvergence
Superconvergence
title_short On the supraconvergence of elliptic finite difference schemes
title_full On the supraconvergence of elliptic finite difference schemes
title_fullStr On the supraconvergence of elliptic finite difference schemes
title_full_unstemmed On the supraconvergence of elliptic finite difference schemes
title_sort On the supraconvergence of elliptic finite difference schemes
author Ferreira, J. A.
author_facet Ferreira, J. A.
Grigorieff, R. D.
author_role author
author2 Grigorieff, R. D.
author2_role author
dc.contributor.author.fl_str_mv Ferreira, J. A.
Grigorieff, R. D.
dc.subject.por.fl_str_mv Nonuniform grids
Finite difference scheme
Stability
Supraconvergence
Superconvergence
topic Nonuniform grids
Finite difference scheme
Stability
Supraconvergence
Superconvergence
description This paper deals with the supraconvergence of elliptic finite difference schemes on variable grids for second order elliptic boundary value problems subject to Dirichlet boundary conditions in two-dimensional domains. The assumptions in this paper are less restrictive than those considered so far in the literature allowing also variable coefficients, mixed derivatives and polygonal domains. The nonequidistant grids we consider are more flexible than merely rectangular ones such that, e.g., local grid refinements are covered.
publishDate 1998
dc.date.none.fl_str_mv 1998
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/4663
https://hdl.handle.net/10316/4663
https://doi.org/10.1016/S0168-9274(98)00048-8
url https://hdl.handle.net/10316/4663
https://doi.org/10.1016/S0168-9274(98)00048-8
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Numerical Mathematics. 28:2-4 (1998) 275-292
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
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repository.mail.fl_str_mv info@rcaap.pt
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