A combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media

DOI10.1007/s11425-014-4879-yzbMath1426.76264OpenAlexW2003629046MaRDI QIDQ487495

Hui Guo, Yang Yang, Qing-Hua Zhang

Publication date: 22 January 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4879-y

zbMATH Keywords

error estimatemixed finite element methodlocal discontinuous Galerkin methodmiscible displacement problem

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 (11)

Error analysis of the semi-discrete local discontinuous Galerkin method for compressible miscible displacement problem in porous media ⋮ Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous media ⋮ A combined hybrid mixed element method for incompressible miscible displacement problem with local discontinuous Galerkin procedure ⋮ Bound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous Media ⋮ Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions ⋮ Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media ⋮ Local discontinuous Galerkin method with implicit-explicit time marching for incompressible miscible displacement problem in porous media ⋮ High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes ⋮ Parallel fully coupled methods for bound-preserving solution of subsurface flow and transport in porous media ⋮ A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem ⋮ Sign-preserving second-order IMPEC time discretization and its application in compressible miscible displacement with Darcy-Forchheimer models

Cites Work

• Unnamed Item
• Unnamed Item
• A fully-discrete local discontinuous Galerkin method for convection-dominated Sobolev equation
• Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system
• Error analysis of the semi-discrete local discontinuous Galerkin method for semiconductor device simulation models
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• Discontinuous Galerkin methods for coupled flow and reactive transport problems
• Local discontinuous Galerkin methods for nonlinear Schrödinger equations
• Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
• Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations
• 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
• Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• The approximation of the pressure by a mixed method in the simulation of miscible displacement
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A Local Discontinuous Galerkin Method for KdV Type Equations

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