An upwind-mixed method on changing meshes for two-phase miscible flow in porous media

DOI10.1016/j.apnum.2007.03.002zbMath1266.76031OpenAlexW1997532212MaRDI QIDQ928836

Yi-Rang Yuan, Huailing Song

Publication date: 11 June 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.03.002

zbMATH Keywords

diffusionconvectionadaptive finite element methodoptimal rate error estimate

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

A Godunov-mixed finite element method on changing meshes for the nonlinear Sobolev equations, Error estimates of local discontinuous Galerkin method with implicit-explicit Runge Kutta for two-phase miscible flow in porous media

Cites Work

• Unnamed Item
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
• Godunov-Mixed Methods for Advection-Diffusion Equations in Multidimensions
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Some Improved Error Estimates for the Modified Method of Characteristics
• The approximation of the pressure by a mixed method in the simulation of miscible displacement
• Moving Finite Elements. I
• Moving Finite Elements. II
• Efficient Time-Stepping Methods for Miscible Displacement Problems in Porous Media
• Godunov-Mixed Methods for Advective Flow Problems in One Space Dimension
• Analysis of Some Moving Space-Time Finite Element Methods
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
• Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh