A multipoint flux mixed finite element method with mass-conservative characteristic finite element method for incompressible miscible displacement problem

DOI10.1007/s11075-022-01489-3MaRDI QIDQ6109901

Xindong Li, Wenwen Xu, Mingyang du

Publication date: 31 July 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

mass conservationerror estimatesmiscible displacementcharacteristic finite elementmultipoint flux mixed finite element

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

• A new MCC-MFE method for compressible miscible displacement in porous media
• Cell-centered finite difference method for parabolic equation
• A mass-conservative characteristic finite element scheme for convection-diffusion problems
• Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization
• Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
• A conservative characteristic finite volume element method for solution of the advection-diffusion equation
• Two families of mixed finite elements for second order elliptic problems
• Numerical solutions of the incompressible miscible displacement equations in heterogeneous media
• A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models
• A MCC finite element approximation of incompressible miscible displacement in porous media
• Two-grid method for compressible miscible displacement problem by mixed finite element methods and expanded mixed finite element method of characteristics
• A multipoint flux mixed finite element method for Darcy-Forchheimer incompressible miscible displacement problem
• A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
• The approximation of the pressure by a mixed method in the simulation of miscible displacement
• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• Galerkin Methods for Miscible Displacement Problems in Porous Media
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Mixed and Hybrid Finite Element Methods
• 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
• Two-Grid Method for Miscible Displacement Problem by Mixed Finite Element Methods and Mixed Finite Element Method of Characteristics
• A Multipoint Flux Mixed Finite Element Method