Mixed methods with dynamic finite-element spaces for miscible displacement in porous media

DOI10.1016/0377-0427(90)90282-5zbMath0703.76082OpenAlexW2054409340MaRDI QIDQ916527

Daoqi Yang

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90282-5

zbMATH Keywords

porous mediaboundary layersfrontsshockspressure equationconcentration equationdynamic finite-element spacesMiscible displacementnonlinear coupled system of two partial differential equations

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media ⋮ Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media ⋮ Space-time adaptive methods for the mixed formulation of a linear parabolic problem ⋮ A characteristic mixed method with dynamic finite-element space for convection-dominated diffusion problems ⋮ Improved error estimation of dynamic finite element methods for second-order parabolic equations ⋮ Simulation of miscible displacement in porous media by a modified Uzawa's algorithm combined with a characteristic method

Cites Work

• Self-adaptive finite element and finite difference methods for one-dimensional two-phase immiscible flow
• Adaptive mesh refinement for hyperbolic partial differential equations
• Efficient adaptive procedures for fluid-flow applications
• An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables
• Efficient rectangular mixed finite elements in two and three space variables
• A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
• The approximation of the pressure by a mixed method in the simulation of miscible displacement
• Moving Finite Elements. I
• Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
• Upstream weighting and mixed finite elements in the simulation of miscible displacements
• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
• Galerkin Methods for Miscible Displacement Problems in Porous Media
• Error estimates for some mixed finite element methods for parabolic type problems
• Efficient Time-Stepping Methods for Miscible Displacement Problems in Porous Media
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