Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients
In this work we review some recent results on approximation of solutions of elliptic problems with high-contrast coefficients. In particular, we detail the derivation of asymptotic expansions for the solution in terms of the high-contrast of the cofficients. We consider the case of high-contrast ell...
- Autores:
-
Poveda Cuevas, Leonardo Andrés
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2014
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/61901
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/61901
http://bdigital.unal.edu.co/60713/
- Palabra clave:
- 51 Matemáticas / Mathematics
Elliptic equations
high-contrast coe_cients
asymptotic expansions.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Poveda Cuevas, Leonardo Andrés424f294c-d7bc-4c82-804d-5435006daf723002019-07-02T20:47:09Z2019-07-02T20:47:09Z2014-07-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/61901http://bdigital.unal.edu.co/60713/In this work we review some recent results on approximation of solutions of elliptic problems with high-contrast coefficients. In particular, we detail the derivation of asymptotic expansions for the solution in terms of the high-contrast of the cofficients. We consider the case of high-contrast elliptic equations and we present the case of only one high-contrast inclusion. The case of more inclusions follows similarly. In order to simplify the presentation we consider first the one dimensional case so no further complicated requirements regarding the computation of two or higher dimensional integrals are needed. We review the case of two-dimensional problems and give some numerical examples.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/48100Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasPoveda Cuevas, Leonardo Andrés (2014) Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients. Boletín de Matemáticas, 21 (2). pp. 99-124. ISSN 2357-652951 Matemáticas / MathematicsElliptic equationshigh-contrast coe_cientsasymptotic expansions.Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficientsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL48100-235159-1-PB.pdfapplication/pdf800789https://repositorio.unal.edu.co/bitstream/unal/61901/1/48100-235159-1-PB.pdf6dce0eb600038eab6e248f57c14063cfMD51THUMBNAIL48100-235159-1-PB.pdf.jpg48100-235159-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5851https://repositorio.unal.edu.co/bitstream/unal/61901/2/48100-235159-1-PB.pdf.jpgeda89d168d44a91d984c1c3ce553e413MD52unal/61901oai:repositorio.unal.edu.co:unal/619012024-04-20 23:26:20.325Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients |
| title |
Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients |
| spellingShingle |
Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients 51 Matemáticas / Mathematics Elliptic equations high-contrast coe_cients asymptotic expansions. |
| title_short |
Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients |
| title_full |
Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients |
| title_fullStr |
Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients |
| title_full_unstemmed |
Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients |
| title_sort |
Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients |
| dc.creator.fl_str_mv |
Poveda Cuevas, Leonardo Andrés |
| dc.contributor.author.spa.fl_str_mv |
Poveda Cuevas, Leonardo Andrés |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics Elliptic equations high-contrast coe_cients asymptotic expansions. |
| dc.subject.proposal.spa.fl_str_mv |
Elliptic equations high-contrast coe_cients asymptotic expansions. |
| description |
In this work we review some recent results on approximation of solutions of elliptic problems with high-contrast coefficients. In particular, we detail the derivation of asymptotic expansions for the solution in terms of the high-contrast of the cofficients. We consider the case of high-contrast elliptic equations and we present the case of only one high-contrast inclusion. The case of more inclusions follows similarly. In order to simplify the presentation we consider first the one dimensional case so no further complicated requirements regarding the computation of two or higher dimensional integrals are needed. We review the case of two-dimensional problems and give some numerical examples. |
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2014 |
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2014-07-01 |
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2019-07-02T20:47:09Z |
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2019-07-02T20:47:09Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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http://purl.org/coar/resource_type/c_6501 |
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Text |
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publishedVersion |
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ISSN: 2357-6529 |
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https://repositorio.unal.edu.co/handle/unal/61901 |
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http://bdigital.unal.edu.co/60713/ |
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ISSN: 2357-6529 |
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https://repositorio.unal.edu.co/handle/unal/61901 http://bdigital.unal.edu.co/60713/ |
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spa |
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spa |
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https://revistas.unal.edu.co/index.php/bolma/article/view/48100 |
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Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas Boletín de Matemáticas |
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Poveda Cuevas, Leonardo Andrés (2014) Using weak forms to derive asymptotic expansions of elliptic equations with high-contrast cofficients. Boletín de Matemáticas, 21 (2). pp. 99-124. ISSN 2357-6529 |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas |
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Universidad Nacional de Colombia |
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