incompressible miscible displacement problem
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A Two-Grid Combined Mixed Finite Element and Discontinuous Galerkin Method for an Incompressible Miscible Displacement Problem in Porous Media

Journal of Scientific Computing ◽

10.1007/s10915-021-01596-8 ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Jiming Yang ◽

Yifan Su

Keyword(s):

Finite Element ◽

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Mixed Finite Element ◽

Miscible Displacement ◽

Displacement Problem ◽

Incompressible Miscible Displacement Problem

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Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique

Computational Geosciences ◽

10.1007/s10596-021-10078-7 ◽

2021 ◽

Author(s):

Junpeng Song ◽

Hongxing Rui

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Miscible Displacement ◽

Reduced Order ◽

Displacement Problem ◽

Incompressible Miscible Displacement Problem ◽

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A combined hybrid mixed element method for incompressible miscible displacement problem with local discontinuous Galerkin procedure

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22495 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1629-1647

Author(s):

Jiansong Zhang ◽

Huiran Han ◽

Hui Guo ◽

Xiaomang Shen

Keyword(s):

Discontinuous Galerkin ◽

Miscible Displacement ◽

Displacement Problem ◽

Galerkin Procedure ◽

Local Discontinuous Galerkin ◽

Mixed Element ◽

Incompressible Miscible Displacement Problem ◽

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A Multipoint Flux Mixed Finite Element Method for Darcy–Forchheimer Incompressible Miscible Displacement Problem

Journal of Scientific Computing ◽

10.1007/s10915-019-01103-0 ◽

2020 ◽

Vol 82 (1) ◽

Author(s):

Wenwen Xu ◽

Dong Liang ◽

Hongxing Rui ◽

Xindong Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Incompressible Miscible Displacement Problem ◽

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A fully conservative block‐centered finite difference method for Darcy–Forchheimer incompressible miscible displacement problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22400 ◽

2019 ◽

Vol 36 (1) ◽

pp. 66-85 ◽

Author(s):

Xiaoli Li ◽

Hongxing Rui

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Incompressible Miscible Displacement Problem

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A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.12.022 ◽

2018 ◽

Vol 334 ◽

pp. 141-151 ◽

Author(s):

Jiming Yang ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Mixed Finite Element ◽

A Priori ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Priori Error Estimates ◽

Incompressible Miscible Displacement Problem

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Local Discontinuous Galerkin Method with Implicit–Explicit Time Marching for Incompressible Miscible Displacement Problem in Porous Media

Journal of Scientific Computing ◽

10.1007/s10915-018-0752-4 ◽

2018 ◽

Vol 78 (1) ◽

pp. 1-28 ◽

Author(s):

Haijin Wang ◽

Jingjing Zheng ◽

Fan Yu ◽

Hui Guo ◽

Qiang Zhang

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Local Discontinuous Galerkin ◽

Time Marching ◽

Incompressible Miscible Displacement Problem

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Local Discontinuous Galerkin Method for Incompressible Miscible Displacement Problem in Porous Media

Journal of Scientific Computing ◽

10.1007/s10915-016-0313-7 ◽

2016 ◽

Vol 71 (2) ◽

pp. 615-633 ◽

Author(s):

Hui Guo ◽

Fan Yu ◽

Yang Yang

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Local Discontinuous Galerkin ◽

Incompressible Miscible Displacement Problem

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Superconvergence Analysis of a Full-Discrete Combined Mixed Finite Element and Discontinuous Galerkin Approximation for an Incompressible Miscible Displacement Problem

Acta Applicandae Mathematicae ◽

10.1007/s10440-015-0017-2 ◽

2015 ◽

Vol 142 (1) ◽

pp. 107-121

Author(s):

Jiming Yang ◽

Zhiguang Xiong

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Mixed Finite Element ◽

Galerkin Approximation ◽

Miscible Displacement ◽

Displacement Problem ◽

Incompressible Miscible Displacement Problem

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A Broken P1-Nonconforming Finite Element Method for Incompressible Miscible Displacement Problem in Porous Media

ISRN Applied Mathematics ◽

10.1155/2013/498383 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7 ◽

Author(s):

Fengxin Chen ◽

Huanzhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Piecewise Linear ◽

Miscible Displacement ◽

Triangular Elements ◽

Concentration Equation ◽

Incompressible Miscible Displacement Problem ◽

Approximate Scheme ◽

An approximate scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by using immersed interface finite element method for the pressure equation which is based on the broken P1-nonconforming piecewise linear polynomials on interface triangular elements and utilizing finite element method for the concentration equation. Error estimates for pressure in broken H1 norm and for concentration in L2 norm are presented.

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