A numerical procedure for the porous media equation

DOI10.1016/0898-1221(85)90156-7zbMath0608.76083OpenAlexW1982615630MaRDI QIDQ1086095

Eduardo Socolovsky, Richard C. MacCamy

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90156-7

zbMATH Keywords

finite elementsvariational formulationmoving boundarynumerical solutionStabilityporous medium problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Applications to the sciences (65Z05) Basic methods in fluid mechanics (76M99)

Related Items (9)

Convergent Lagrangian Discretization for Drift-Diffusion with Nonlocal Aggregation ⋮ Lagrangian non-oscillatory and FEM schemes for the porous media equation ⋮ A convergent Lagrangian discretization for \(p\)-Wasserstein and flux-limited diffusion equations ⋮ A Fully Discrete Variational Scheme for Solving Nonlinear Fokker--Planck Equations in Multiple Space Dimensions ⋮ Solutions to aggregation–diffusion equations with nonlinear mobility constructed via a deterministic particle approximation ⋮ Solution of porous medium type systems by linear approximation schemes ⋮ Long-time behavior of a fully discrete Lagrangian scheme for a family of fourth order equations ⋮ A convergent Lagrangian discretization for a nonlinear fourth-order equation ⋮ Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit

Cites Work

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• Regularity properties of flows through porous media: The interface
• An Interface Tracking Algorithm for the Porous Medium Equation
• A coordinate transformation for the porous media equation that renders the free boundary stationary
• The Porous Medium Equation in One Dimension
• Regularity Propeties of Flows Through Porous Media
• A Finite Difference Approach to Some Degenerate Nonlinear Parabolic Equations
• DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT

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