Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes
| Main Author: | |
|---|---|
| Publication Date: | 2006 |
| Format: | Other |
| Language: | eng |
| Source: | Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
| Download full: | https://hdl.handle.net/10316/11329 |
Summary: | In this paper we study the convergence properties of cell-centered finite difference schemes for second order elliptic equations with variable coefficients. We prove that the finite difference schemes on nonuniform meshes although not even being consistent are nevertheless second order convergent. The convergence is studied with the aid of an appropriate negative norm. Numerical examples support the convergence result. |
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Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemesCell-centered finite differences schemeNonuniform meshStabilitySupraconvergenceIn this paper we study the convergence properties of cell-centered finite difference schemes for second order elliptic equations with variable coefficients. We prove that the finite difference schemes on nonuniform meshes although not even being consistent are nevertheless second order convergent. The convergence is studied with the aid of an appropriate negative norm. Numerical examples support the convergence result.Centro de Matemática da Universidade de Coimbra2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/11329https://hdl.handle.net/10316/11329engPré-Publicações DMUC. 06-46 (2006)Barbeiro, S.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:RCAAP2020-05-25T13:11:38Zoai:estudogeral.uc.pt:10316/11329Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:22.736051Repositórios 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 |
Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes |
| title |
Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes |
| spellingShingle |
Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes Barbeiro, S. Cell-centered finite differences scheme Nonuniform mesh Stability Supraconvergence |
| title_short |
Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes |
| title_full |
Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes |
| title_fullStr |
Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes |
| title_full_unstemmed |
Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes |
| title_sort |
Discrete negative norms in the analysis of supraconvergent two dimensional cell-centered schemes |
| author |
Barbeiro, S. |
| author_facet |
Barbeiro, S. |
| author_role |
author |
| dc.contributor.author.fl_str_mv |
Barbeiro, S. |
| dc.subject.por.fl_str_mv |
Cell-centered finite differences scheme Nonuniform mesh Stability Supraconvergence |
| topic |
Cell-centered finite differences scheme Nonuniform mesh Stability Supraconvergence |
| description |
In this paper we study the convergence properties of cell-centered finite difference schemes for second order elliptic equations with variable coefficients. We prove that the finite difference schemes on nonuniform meshes although not even being consistent are nevertheless second order convergent. The convergence is studied with the aid of an appropriate negative norm. Numerical examples support the convergence result. |
| publishDate |
2006 |
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2006 |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/other |
| format |
other |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
https://hdl.handle.net/10316/11329 https://hdl.handle.net/10316/11329 |
| url |
https://hdl.handle.net/10316/11329 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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Pré-Publicações DMUC. 06-46 (2006) |
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info:eu-repo/semantics/openAccess |
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openAccess |
| dc.publisher.none.fl_str_mv |
Centro de Matemática da Universidade de Coimbra |
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Centro de Matemática da Universidade de Coimbra |
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Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
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Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia |
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info@rcaap.pt |
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