Multiscale Analysis of Composite Structures
The goal of this paper is to present some homogenization results for diffusion problems in composite structures, formed by two media with different features. Our setting is relevant for modeling heat diffusion in composite materials with imperfect interfaces or electrical conduction in biological ti...
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2012-10-01
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| Series: | Biomath |
| Subjects: | |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/4 |
| _version_ | 1827840965236228096 |
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| author | Claudia Timofte |
| author_facet | Claudia Timofte |
| author_sort | Claudia Timofte |
| collection | DOAJ |
| description | The goal of this paper is to present some homogenization results for diffusion problems in composite structures, formed by two media with different features. Our setting is relevant for modeling heat diffusion in composite materials with imperfect interfaces or electrical conduction in biological tissues. The approach we follow is based on the periodic unfolding method, which allows us to deal with general media. |
| first_indexed | 2024-03-12T07:44:46Z |
| format | Article |
| id | doaj.art-32269637eeaf4454b903cfaf4220fc14 |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T07:44:46Z |
| publishDate | 2012-10-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-32269637eeaf4454b903cfaf4220fc142023-09-02T21:04:44ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182012-10-011110.11145/j.biomath.2012.09.02113Multiscale Analysis of Composite StructuresClaudia Timofte0University of BucharestThe goal of this paper is to present some homogenization results for diffusion problems in composite structures, formed by two media with different features. Our setting is relevant for modeling heat diffusion in composite materials with imperfect interfaces or electrical conduction in biological tissues. The approach we follow is based on the periodic unfolding method, which allows us to deal with general media.http://www.biomathforum.org/biomath/index.php/biomath/article/view/4homogenizationthe periodic unfolding methoddynamical boundary condition. |
| spellingShingle | Claudia Timofte Multiscale Analysis of Composite Structures Biomath homogenization the periodic unfolding method dynamical boundary condition. |
| title | Multiscale Analysis of Composite Structures |
| title_full | Multiscale Analysis of Composite Structures |
| title_fullStr | Multiscale Analysis of Composite Structures |
| title_full_unstemmed | Multiscale Analysis of Composite Structures |
| title_short | Multiscale Analysis of Composite Structures |
| title_sort | multiscale analysis of composite structures |
| topic | homogenization the periodic unfolding method dynamical boundary condition. |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/4 |
| work_keys_str_mv | AT claudiatimofte multiscaleanalysisofcompositestructures |