Fixed-point algorithms for stationary flow in porous media

DOI10.1016/0045-7825(86)90134-9zbMath0577.76086OpenAlexW2044701043MaRDI QIDQ1065678

Paola Pietra, Luisa Donatella Marini

Publication date: 1986

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(86)90134-9

zbMATH Keywords

finite elementfixed-point algorithmscapillarity effectsinhomogeneous anisotropic mediasteady-state filtration problems

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Basic methods in fluid mechanics (76M99)

Related Items (7)

Influence of multiscale roughness patterns in cavitated flows: Applications to journal bearings ⋮ Homogenization of the layer-structured dam problem with isotropic permeability ⋮ Steady filtration problems with seawater intrusion: macro-hybrid primal mixed variational analysis ⋮ Numerical upscaling of the free boundary dam problem in multiscale high-contrast media ⋮ Characteristics method for the formulation and computation of a free boundary cavitation problem ⋮ Steady filtration with seawater intrusion: Penalized finite element approximations ⋮ Numerical simulation of liquid redistribution in permeable media involving hysteresis.

Cites Work

• Numerical solution of steady-state porous flow free boundary problems
• Free boundary problems in the theory of fluid flow through porous media: A numerical approach
• Free boundary problems in the theory of fluid flow through porous media: Existence and uniqueness theorems
• Uniform convergence of the upwind finite element approximation for semilinear parabolic problems
• Su un problema di frontiera libera connesso a questioni di idraulica
• Strömungen durch inhomogene poröse Medien mit freiem Rand.
• An up-wind finite element method for a filtration problem
• On the Approximate Solution of Free Boundary Problems Using Finite Differences
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