Finite volume method for one dimensional biot poroelasticity system in multilayered domains

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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Veröffentlicht in:Iranian journal of numerical analysis and optimization 2013-01, Vol.3 (1)
Hauptverfasser: Mehran Namjoo, h. Atighi Lorestani
Format: Artikel
Sprache:eng
Schlagworte:
biot poroelasticity system
finite volume discretization
interface problem
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Zusammenfassung: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.
ISSN:2423-6977
2423-6969
DOI:10.22067/ijnao.v3i1.18827