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

Document Type : Research Article

Authors

• M. Namjoo
• H. Atighi Lorestani

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

10.22067/ijnao.v3i1.18827

Abstract

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.

Keywords

• Biot poroelasticity system
• Interface problem
• Finite volume discretization

20.1001.1.24236977.2013.3.1.6.7

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References

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