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

Iranian Journal of Numerical Analysis and Optimization

مقاله 6، دوره 3، شماره 1 - شماره پیاپی 3، فروردین 2013، صفحه 55-72   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v3i1.18827

نویسندگان

M. Namjoo^* ؛ H. Atighi Lorestani

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

چکیده

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.

کلیدواژه‌ها

Biot poroelasticity system؛ Interface problem؛ Finite volume discretization

مراجع

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