The method of mixed volume element-characteristic mixed volume element and its numerical analysis for groundwater pollution in binary medium

DOI10.1016/j.amc.2019.06.050zbMath1433.76096OpenAlexW2955066319WikidataQ127558395 ScholiaQ127558395MaRDI QIDQ2286051

Ming Cui, Chang-Feng Li, Tong-jun Sun, Yi-Rang Yuan

Publication date: 9 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.06.050

zbMATH Keywords

numerical computationlocal conservation of masscharacteristic mixed volume elementground water pollution of binary mediummixed volume elementsecond order \(l^2\) error estimate

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Characteristic mixed volume element for compressible two-phase displacement in porous media ⋮ Compact finite-difference method for 2D time-fractional convection-diffusion equation of groundwater pollution problems ⋮ Time discretization for modeling migration of groundwater contaminant in the presence of micro-organisms via a semi-analytic method

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
• An approximation of incompressible miscible displacement in porous media by mixed finite element method and characteristics-mixed finite element method
• Control-volume mixed finite element methods
• Mixed element method for two-dimensional Darcy-Forchheimer model
• Lineare Spline-Funktionen und die Methoden von Ritz für elliptische Randwertprobleme
• Numerical study of flow and heat transfer in curvilinear ducts: applications of elliptic grid generation
• A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
• 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
• Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
• On Convergence of Block-Centered Finite Differences for Elliptic Problems
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Mixed Covolume Methods for Elliptic Problems on Triangular Grids
• A general mixed covolume framework for constructing conservative schemes for elliptic problems
• An Approximation to Miscible Fluid Flows in Porous Media with Point Sources and Sinks by an Eulerian--Lagrangian Localized Adjoint Method and Mixed Finite Element Methods
• A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
• A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
• Mixed Covolume Methods on Rectangular Grids For Elliptic Problems
• A locally conservative Eulerian-Lagrangian control-volume method for transient advection-diffusion equations