Upstream weighting and mixed finite elements in the simulation of miscible displacements

DOI10.1051/m2an/1985190304431zbMath0568.76096OpenAlexW2461425895MaRDI QIDQ3685488

Jérôme Jaffré, Jean Elizabeth Roberts

Publication date: 1985

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193455

zbMATH Keywords

finite element methodpressure equationError estimatesconcentration equationincompressible miscible displacementsdiscontinuous upstream weighting scheme

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Mixed methods for compressible miscible displacement with the effect of molecular dispersion ⋮ Finite element simulations for compressible miscible displacement with molecular dispersion in porous media ⋮ The generalized finite volume SUSHI scheme for the discretization of the Peaceman model. ⋮ Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media ⋮ Mixed methods with dynamic finite-element spaces for miscible displacement in porous media ⋮ Local discontinuous Galerkin method with implicit-explicit time marching for incompressible miscible displacement problem in porous media ⋮ Stabilized finite element methods for miscible displacement in porous media

Cites Work

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• The approximation of the pressure by a mixed method in the simulation of miscible displacement
• Galerkin Methods for Miscible Displacement Problems in Porous Media
• Error estimates for some mixed finite element methods for parabolic type problems