Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods

DOI10.1002/num.20291zbMath1137.76033OpenAlexW2023634815MaRDI QIDQ3499001

Mustapha El Ossmani, Brahim Amaziane

Publication date: 19 May 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20291

zbMATH Keywords

weak solutionDarcy equationerror estiamtes

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Error bounds for boundary value problems involving PDEs (65N15) 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)

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Uses Software

• COUPLEX

Cites Work

• A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
• Numerical modeling of the flow and transport of radionuclides in heterogeneous porous media
• Introduction to modeling of transport phenomena in porous media
• Mixed and Hybrid Finite Element Methods
• Finite Volume Methods for Hyperbolic Problems
• Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment
• Mathematical and Numerical Study of an Industrial Scheme for Two-phase Flows in Porous Media under Gravity
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