scientific article

zbMath1110.65106MaRDI QIDQ3425086

Ivar Aavatsmark, Geir Terje Eigestad, Runhild Aae Klausen

Publication date: 5 March 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stabilityconvergencenumerical examplesnumerical experimentserror boundsanisotropyinhomogeneitycontrol-volume discretizationmultipoint flux approximation\(O\)-method

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) PDEs with low regular coefficients and/or low regular data (35R05) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (12)

Robust convergence of multi point flux approximation on rough grids ⋮ Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation ⋮ Interpretation of a two-point flux stencil for skew parallelogram grids ⋮ A simplified enhanced MPFA formulation for the elliptic equation on general grids ⋮ Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids ⋮ Monotonicity of control volume methods ⋮ Unnamed Item ⋮ A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes ⋮ Convergence of MPFA on triangulations and for Richards' equation ⋮ Convergence of a symmetric MPFA method on quadrilateral grids ⋮ Numerical convergence on adaptive grids for control volume methods ⋮ Numerical convergence of the MPFA O‐method and U‐method for general quadrilateral grids

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