On the convergence of the multi‐point flux approximation O‐method: Numerical experiments for discontinuous permeability

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Multipoint flux approximation methods for quadrilateral grids (2007, methodology): “More general boundary conditions are discussed in [32].”
Convergence of multipoint flux approximations on quadrilateral grids (2006, background): “A variety of numerical examples for this, and related MPFA versions can be found in papers focusing on numerical aspects, cf. [5, 15, 16, 17 ].”
Convergence of a symmetric MPFA method on quadrilateral grids (2007, methodology): “The physical-space-based MPFA method for such cases is broadly discussed in Eigestad and Klausen [19] and Aavatsmark et al. [6].”
Accuracy and convergence properties of the fixed‐stress iterative solution of two‐way coupled poromechanics (2015, methodology): “The case of non-homogeneous Neumann conditions and non-interpolated Dirichlet conditions is addressed by suitably modifying the procedure used to determine the transmissibility coefficients [43, 44].”
Monotone nonlinear finite‐volume method for nonisothermal two‐phase two‐component flow in porous media (2017, methodology): “[45], in which the convergence behavior of the MPFA-O method [38] has been analyzed for isotropic heterogeneous permeabilities.”
A compact multipoint flux approximation method with improved robustness (2008, methodology): “[10,17] for a comparison of O(η)-methods and [18,19] for the O(0)-method only.”