Variational inequalities for modeling flow in heterogeneous porous media with entry pressure

DOI10.1007/s10596-008-9125-7zbMath1338.76118OpenAlexW2148640371MaRDI QIDQ1044374

J. Blot

Publication date: 11 December 2009

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-008-9125-7

zbMATH Keywords

variational inequalityporous mediaactive set strategymortarentry pressure

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30)

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Cites Work

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• Two-phase flow equations with outflow boundary conditions in the hydrophobic-hydrophilic case
• Modelling of interfaces in unsaturated porous media
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• Introduction to modeling of transport phenomena in porous media
• Mortar upscaling for multiphase flow in porous media
• The mortar finite element method with Lagrange multipliers
• Dynamic capillary effects in heterogeneous porous media
• A primal--dual active set strategy for nonlinear multibody contact problems
• On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
• On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems
• Semi–Smooth Newton Methods for Variational Inequalities of the First Kind
• Analysis of Oil Trapping in Porous Media Flow
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces

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