On non-uniqueness of pressures in problems of fluid filtration in fractured-porous media

DOI10.1016/j.cam.2022.115052MaRDI QIDQ6100571

I. A. Kremer, Yuriĭ M. Laevsky, Maxim I. Ivanov

Publication date: 22 June 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

mixed finite element methoddouble porosityfractured porous mediasaddle point systemmatrix kernelmixed generalized formulation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Higher-order elliptic systems (35J48) Liquid-liquid two component flows (76T06)

Cites Work

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• Finite element approximation of the pure Neumann problem using the iterative penalty method
• On approximation of the Neumann problem by the penalty method
• On the streamline upwind scheme of solution to the filtration problem
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Mixed Finite Element Methods and Applications
• A computational model of fluid filtration in fractured porous media
• On the Finite Element Solution of the Pure Neumann Problem

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