Numerical methods for flows through porous media. II

DOI10.1016/0898-1221(80)90063-2zbMath0474.76087OpenAlexW2018347031MaRDI QIDQ1159049

Michael E. Rose

Publication date: 1980

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(80)90063-2

zbMATH Keywords

error estimatesnon-negative diffusion coefficient

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Applications to the sciences (65Z05)

Related Items (4)

On existence and uniqueness for a coupled system modeling immiscible flow through a porous medium ⋮ A linear backward Euler scheme for a class of degenerate advection–diffusion equations: A mathematical analysis of the convergence in L^∞(0, T₀;L²(Ω)) and in L²(0, T₀;H¹(Ω)) ⋮ A linear backward Euler scheme for the saturation equation: regularity results and consistency ⋮ A linearization of a backward Euler scheme for a class of degenerate nonlinear advection-diffusion equations

Cites Work

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• The Cauchy problem for an equation in the theory of infiltration
• Numerical Methods for Flows Through Porous Media. I
• Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
• Finite Difference Schemes for Differential Equations

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