Analysing an adaptive finite volume for flow in highly heterogeneous porous medium

DOI10.1108/09615530810846365zbMath1161.76037OpenAlexW2069106598MaRDI QIDQ3527656

Sanjay Kumar Khattri

Publication date: 29 September 2008

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615530810846365

zbMATH Keywords

two-point methodwell-conditioned matrix

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12)

Cites Work

• Implicit treatment of compositional flow
• Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners
• Quadratic convergence for cell-centered grids
• A posteriori error estimation and adaptive mesh-refinement techniques
• Discretization on quadrilateral grids with improved monotonicity properties
• An introduction to multipoint flux approximations for quadrilateral grids
• Local Refinement Techniques for Elliptic Problems on Cell-Centered Grids I. Error Analysis
• On Convergence of Block-Centered Finite Differences for Elliptic Problems
• Convergence of Finite Volume Schemes for Poisson’s Equation on Nonuniform Meshes
• Data Oscillation and Convergence of Adaptive FEM
• On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
• On the convergence of the multi‐point flux approximation O‐method: Numerical experiments for discontinuous permeability

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