Finite volume method for one dimensional biot poroelasticity system in multilayered domains
R. Ewing, O. Liev, R. Lazarov and A. Naumovich in [1] proposed a finite volume discretization for one dimensional Biot poroelasticity system in multilayer domains. Their discretization and exact solution are invalid. We derive valid discretization and exact solution. Finally, our numerical solution...
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2013-01-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_24418_4851abe5f8bc86af350054992b0ef6bd.pdf |
| _version_ | 1819099563239145472 |
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| author | Mehran Namjoo h. Atighi Lorestani |
| author_facet | Mehran Namjoo h. Atighi Lorestani |
| author_sort | Mehran Namjoo |
| collection | DOAJ |
| description | R. Ewing, O. Liev, R. Lazarov and A. Naumovich in [1] proposed a finite volume discretization for one dimensional Biot poroelasticity system in multilayer domains. Their discretization and exact solution are invalid. We derive valid discretization and exact solution. Finally, our numerical solution is compared with known exact solution in discrete L2 norm. |
| first_indexed | 2024-12-22T00:48:52Z |
| format | Article |
| id | doaj.art-7df859bcc11544cf9b9f1a53a94cb7ee |
| institution | Directory Open Access Journal |
| issn | 2423-6977 2423-6969 |
| language | English |
| last_indexed | 2024-12-22T00:48:52Z |
| publishDate | 2013-01-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj.art-7df859bcc11544cf9b9f1a53a94cb7ee2022-12-21T18:44:29ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692013-01-013110.22067/ijnao.v3i1.1882724418Finite volume method for one dimensional biot poroelasticity system in multilayered domainsMehran Namjooh. Atighi LorestaniR. Ewing, O. Liev, R. Lazarov and A. Naumovich in [1] proposed a finite volume discretization for one dimensional Biot poroelasticity system in multilayer domains. Their discretization and exact solution are invalid. We derive valid discretization and exact solution. Finally, our numerical solution is compared with known exact solution in discrete L2 norm.https://ijnao.um.ac.ir/article_24418_4851abe5f8bc86af350054992b0ef6bd.pdfbiot poroelasticity systeminterface problemfinite volume discretization |
| spellingShingle | Mehran Namjoo h. Atighi Lorestani Finite volume method for one dimensional biot poroelasticity system in multilayered domains Iranian Journal of Numerical Analysis and Optimization biot poroelasticity system interface problem finite volume discretization |
| title | Finite volume method for one dimensional biot poroelasticity system in multilayered domains |
| title_full | Finite volume method for one dimensional biot poroelasticity system in multilayered domains |
| title_fullStr | Finite volume method for one dimensional biot poroelasticity system in multilayered domains |
| title_full_unstemmed | Finite volume method for one dimensional biot poroelasticity system in multilayered domains |
| title_short | Finite volume method for one dimensional biot poroelasticity system in multilayered domains |
| title_sort | finite volume method for one dimensional biot poroelasticity system in multilayered domains |
| topic | biot poroelasticity system interface problem finite volume discretization |
| url | https://ijnao.um.ac.ir/article_24418_4851abe5f8bc86af350054992b0ef6bd.pdf |
| work_keys_str_mv | AT mehrannamjoo finitevolumemethodforonedimensionalbiotporoelasticitysysteminmultilayereddomains AT hatighilorestani finitevolumemethodforonedimensionalbiotporoelasticitysysteminmultilayereddomains |