A reduced-order finite element method based on POD for the incompressible miscible displacement problem
type: Item
instance of: scholarly article
title: A reduced-order finite element method based on POD for the incompressible miscible displacement problem
author: Junpeng Song
author: Hongxing Rui
publication date: 2021-08-20T00:00:00Z
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7384084
zbMATH Keywords: reduced-order finite element method
zbMATH Keywords: incompressible miscible displacement
zbMATH Keywords: backward difference
zbMATH Keywords: proper orthogonal decomposition
zbMATH Keywords: error estimates
zbMATH Keywords: feasible and effective
MaRDI profile type: Publication
full work available at URL: j.camwa.2021.06.019
OpenAlex ID: W3186730776
cites work: Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods
cites work: \(L^p\) error estimates of two-grid method for miscible displacement problem
cites work: Q3882118
cites work: The approximation of the pressure by a mixed method in the simulation of miscible displacement
cites work: A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
cites work: On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs
cites work: On the Approximation of Miscible Displacement in Porous Media by a Method of Characteristics Combined with a Mixed Method
cites work: Q3315468
cites work: A summary of numerical methods for time-dependent advection-dominated partial differential equations
cites work: Galerkin Methods for Miscible Displacement Problems in Porous Media
cites work: On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media
cites work: Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media
cites work: Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach
cites work: Self-Contained Automated Methodology for Optimal Flow Control
cites work: Finite Volume Approximations for Incompressible Miscible Displacement Problems in Porous Media with Modified Method of Characteristics
cites work: Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor
cites work: Unconditional convergence and optimal error estimates of a Galerkin-mixed FEM for incompressible miscible flow in porous media
cites work: Finite element method for incompressible miscible displacement in porous media
cites work: A MCC finite element approximation of incompressible miscible displacement in porous media
cites work: A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations
cites work: A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem
cites work: A POD-BASED REDUCED-ORDER STABILIZED CRANK–NICOLSON MFE FORMULATION FOR THE NON-STATIONARY PARABOLIZED NAVIER–STOKES EQUATIONS
cites work: Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations
cites work: A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations
cites work: A reduced finite element formulation based on POD method for two-dimensional solute transport problems
cites work: An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation
cites work: Q4240610
cites work: A mixed element method for Darcy-Forchheimer incompressible miscible displacement problem
cites work: On the stability of the reduced basis method for Stokes equations in parametrized domains
cites work: Q5667036
cites work: Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
cites work: An improved error bound for reduced basis approximation of linear parabolic problems
cites work: A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media
cites work: A two-grid method for incompressible miscible displacement problems by mixed finite element and Eulerian-Lagrangian localized adjoint methods
cites work: Q3888767
cites work: New analysis of Galerkin FEMs for miscible displacement in porous media
cites work: A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem
cites work: A combined discontinuous Galerkin finite element method for miscible displacement problem
DOI: 10.1016/J.CAMWA.2021.06.019
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7384084