Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods
- Autores
- Alonso, Ana Esther; Dello Russo, Anahí
- Año de publicación
- 2009
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- This paper deals with the nonconforming spectral approximation of variationally posed eigenvalue problems. It is an extension to more general situations of known previous results about nonconforming methods. As an application of the present theory, convergence and optimal order error estimates are proved for the lowest order Crouzeix-Raviart approximation of the eigenpairs of two representative second-order elliptical operators.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Eigenvalue problems
Nonconforming methods
Spectral approximation
Steklov eigenvalue problem - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/82743
Ver los metadatos del registro completo
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Spectral approximation of variationally-posed eigenvalue problems by nonconforming methodsAlonso, Ana EstherDello Russo, AnahíCiencias ExactasEigenvalue problemsNonconforming methodsSpectral approximationSteklov eigenvalue problemThis paper deals with the nonconforming spectral approximation of variationally posed eigenvalue problems. It is an extension to more general situations of known previous results about nonconforming methods. As an application of the present theory, convergence and optimal order error estimates are proved for the lowest order Crouzeix-Raviart approximation of the eigenpairs of two representative second-order elliptical operators.Facultad de Ciencias Exactas2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf177-197http://sedici.unlp.edu.ar/handle/10915/82743enginfo:eu-repo/semantics/altIdentifier/issn/0377-0427info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2008.01.008info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:07:32Zoai:sedici.unlp.edu.ar:10915/82743Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:07:32.744SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods |
| title |
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods |
| spellingShingle |
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods Alonso, Ana Esther Ciencias Exactas Eigenvalue problems Nonconforming methods Spectral approximation Steklov eigenvalue problem |
| title_short |
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods |
| title_full |
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods |
| title_fullStr |
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods |
| title_full_unstemmed |
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods |
| title_sort |
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods |
| dc.creator.none.fl_str_mv |
Alonso, Ana Esther Dello Russo, Anahí |
| author |
Alonso, Ana Esther |
| author_facet |
Alonso, Ana Esther Dello Russo, Anahí |
| author_role |
author |
| author2 |
Dello Russo, Anahí |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Eigenvalue problems Nonconforming methods Spectral approximation Steklov eigenvalue problem |
| topic |
Ciencias Exactas Eigenvalue problems Nonconforming methods Spectral approximation Steklov eigenvalue problem |
| dc.description.none.fl_txt_mv |
This paper deals with the nonconforming spectral approximation of variationally posed eigenvalue problems. It is an extension to more general situations of known previous results about nonconforming methods. As an application of the present theory, convergence and optimal order error estimates are proved for the lowest order Crouzeix-Raviart approximation of the eigenpairs of two representative second-order elliptical operators. Facultad de Ciencias Exactas |
| description |
This paper deals with the nonconforming spectral approximation of variationally posed eigenvalue problems. It is an extension to more general situations of known previous results about nonconforming methods. As an application of the present theory, convergence and optimal order error estimates are proved for the lowest order Crouzeix-Raviart approximation of the eigenpairs of two representative second-order elliptical operators. |
| publishDate |
2009 |
| dc.date.none.fl_str_mv |
2009 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/82743 |
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http://sedici.unlp.edu.ar/handle/10915/82743 |
| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/0377-0427 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2008.01.008 |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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