Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media

DOI10.1002/mma.2854zbMath1291.76204OpenAlexW1969853177MaRDI QIDQ5415920

Shuyu Sun, Jisheng Kou

Publication date: 19 May 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2854

zbMATH Keywords

two-phase flowdiscontinuous Galerkin methoderror estimateexistence and uniquenessmixed finite element method

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (12)

On application of the weak Galerkin finite element method to a two-phase model for subsurface flow ⋮ Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media ⋮ Mixed finite element-based fully conservative methods for simulating wormhole propagation ⋮ A Characteristic Mixed Finite Element Two-Grid Method for Compressible Miscible Displacement Problem ⋮ A two-grid method for discontinuous Galerkin approximations to compressible miscible displacement problems ⋮ Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach ⋮ Locally conservative continuous Galerkin FEM for pressure equation in two-phase flow model in subsurfaces ⋮ A characteristic finite element two-grid algorithm for a compressible miscible displacement problem ⋮ A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model ⋮ Upwind discontinuous Galerkin methods with mass conservation of both phases for incompressible two‐phase flow in porous media ⋮ Constrained pressure residual multiscale (CPR-MS) method for fully implicit simulation of multiphase flow in porous media ⋮ Two-grid method for compressible miscible displacement problem by mixed finite element methods and expanded mixed finite element method of characteristics

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