Convergence of a TPFA Finite Volume Scheme for Mixed-Dimensional Flow Problems

DOI10.1007/978-3-030-43651-3_40zbMath1454.65135OpenAlexW3034541407MaRDI QIDQ5117465

W. M. Boon, Jan Martin Nordbotten

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_40

zbMATH Keywords

mixed finite elementmixed-dimensionalfracture flowtwo-point flux approximation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

A reduced basis method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes

Cites Work

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• An efficient multi-point flux approximation method for discrete fracture-matrix simulations
• Robust Discretization of Flow in Fractured Porous Media
• Connection between finite volume and mixed finite element methods
• Mixed Finite Element Methods and Applications
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media

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