Mixed finite volume element-upwind mixed volume element of compressible two-phase displacement and its numerical analysis
DOI10.1016/J.CAM.2019.112637zbMath1434.65154OpenAlexW2995549398WikidataQ126561944 ScholiaQ126561944MaRDI QIDQ2297082
Huailing Song, Yi-Rang Yuan, Chang-Feng Li
Publication date: 18 February 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.112637
convergence analysisconservation of massnumerical experimentmixed volume element-upwind mixed volume elementthree-dimensional compressible displacement
Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
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- Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
- On the finite volume element method
- The characteristic finite difference fractional step methods for compressible two-phase displacement problem
- Control-volume mixed finite element methods
- The modified method of characteristics with finite element operator-splitting procedures for compressible multicomponent displacement problem.
- Mixed element method for two-dimensional Darcy-Forchheimer model
- A mixed volume element with upwind multistep mixed volume element and convergence analysis for numerical simulation of nuclear waste contaminant disposal
- Lineare Spline-Funktionen und die Methoden von Ritz für elliptische Randwertprobleme
- A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
- Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
- The approximation of the pressure by a mixed method in the simulation of miscible displacement
- Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
- Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- Mixed Covolume Methods for Elliptic Problems on Triangular Grids
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- The upwind finite difference fractional steps methods for two-phase compressible flow in porous media
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- Mixed Covolume Methods on Rectangular Grids For Elliptic Problems
- The characteristic finite element alternating direction method with moving meshes for nonlinear convection-dominated diffusion problems
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