Galerkin Methods for Miscible Displacement Problems in Porous Media
From MaRDI portal
Publication:3908711
DOI10.1137/0717029zbMath0458.76092OpenAlexW2019471783MaRDI QIDQ3908711
Richard E. Ewing, Mary Fanett Wheeler
Publication date: 1980
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0717029
Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
The weak Galerkin method for solving the incompressible Brinkman flow, Error analysis of mixed finite element methods for nonlinear parabolic equations, Velocity weighting techniques for fluid displacement problems, A characteristic block-centered finite difference method for Darcy-Forchheimer compressible miscible displacement problem, Galerkin method for the fully coupled quasi-static thermo-poroelastic problem, A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media, Mixed methods for compressible miscible displacement with the effect of molecular dispersion, \(L^p\) error estimates of two-grid method for miscible displacement problem, A fully-coupled upwind discontinuous Galerkin method for incompressible porous media flows: high-order computations of viscous fingering instabilities in complex geometry, Stochastic elliptic–parabolic system arising in porous media, Unconditional optimal error estimates of linearized backward Euler Galerkin FEMs for nonlinear Schrödinger-Helmholtz equations, Finite element simulations for compressible miscible displacement with molecular dispersion in porous media, Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media, Implicit-Modal Discontinuous Galerkin Scheme for Two-Phase Flow with Discontinuous Capillary Pressure, Galerkin method for completely compressible displacement with molecular diffusion and dispersion, A two-grid method for incompressible miscible displacement problems by mixed finite element and Eulerian-Lagrangian localized adjoint methods, Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations, Unnamed Item, Analytical and variational numerical methods for unstable miscible displacement flows in porous media, A linearized energy-conservative finite element method for the nonlinear Schrödinger equation with wave operator, Optimal error analysis of Crank–Nicolson lowest‐order Galerkin‐mixed finite element method for incompressible miscible flow in porous media, The weak Galerkin method for the miscible displacement of incompressible fluids in porous media on polygonal mesh, An optimal error estimate for the two-dimensional nonlinear time fractional advection-diffusion equation with smooth and non-smooth solutions, A multipoint flux mixed finite element method with mass-conservative characteristic finite element method for incompressible miscible displacement problem, High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives, Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach, Unconditionally convergent numerical method for the fractional activator–inhibitor system with anomalous diffusion, Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows, A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations, A characteristic expanded mixed finite element numerical method for incompressible miscible displacement problem involving dispersion term, Two‐grid method for miscible displacement problem with dispersion by finite element method of characteristics, An efficient two grid method for miscible displacement problem approximated by mixed finite element methods, Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media, Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations, Mixed methods with dynamic finite-element spaces for miscible displacement in porous media, Modified method of characteristics combined with finite volume element methods for incompressible miscible displacement problems in porous media, New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media, Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations, A mixed element method for Darcy-Forchheimer incompressible miscible displacement problem, A broken \(P_1\)-nonconforming finite element method for incompressible miscible displacement problem in porous media, Mathematical theory of stationary miscible filtration, A discontinuous Galerkin coupled wave propagation/circulation model, A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation, Supraconvergence and supercloseness in quasilinear coupled problems, Finite element approximations of two-phase miscible incompressible displacement with discontinuous coefficients, An L1 Legendre-Galerkin spectral method with fast algorithm for the two-dimensional nonlinear coupled time fractional Schrödinger equation and its parameter estimation, Numerical solutions of the incompressible miscible displacement equations in heterogeneous media, Local discontinuous Galerkin method with implicit-explicit time marching for incompressible miscible displacement problem in porous media, Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor, Unified convergence analysis of numerical schemes for a miscible displacement problem, Non-Fickian convection-diffusion models in porous media, Unnamed Item, On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir, A characteristic finite element two-grid algorithm for a compressible miscible displacement problem, Two-grid method for compressible miscible displacement problem by CFEM-MFEM, Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization, Eulerian-Lagrangian localized adjoint methods for linear advection or advection-reaction equations and their convergence analysis, Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics, A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media, On the convergence analysis of a hybrid numerical method for multicomponent transport in porous media, A virtual element method for the miscible displacement of incompressible fluids in porous media, Operator-splitting Galerkin method for one kind of ion reaction model for the pollution in groundwater, Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation, Error analysis of finite element method for Poisson-Nernst-Planck equations, A multipoint flux mixed finite element method for Darcy-Forchheimer incompressible miscible displacement problem, A reduced-order finite element method based on POD for the incompressible miscible displacement problem, Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems, Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique, Two-grid method for compressible miscible displacement problem by mixed finite element methods and expanded mixed finite element method of characteristics, An integro‐differential model for non‐Fickian tracer transport in porous media: validation and numerical simulation, New analysis of Galerkin FEMs for miscible displacement in porous media, Numerical analysis of a stabilized finite element method for tracer injection simulations, A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media, On efficient time-stepping methods for nonlinear partial differential equations, Convergence of a high order method in time and space for the miscible displacement equations, The approximation of the pressure by a mixed method in the simulation of miscible displacement, Analysis of Lowest-Order Characteristics-Mixed FEMs for Incompressible Miscible Flow in Porous Media, A two-grid method for finite element solution of parabolic integro-differential equations, Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media, An analysis of the grid orientation effect in numerical simulation of miscible displacement, Unnamed Item, Finite element methods for nonlinear flows in porous media, Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow, Self-adaptive finite element simulation of miscible displacement in porous media, Unnamed Item, Efficient adaptive procedures for fluid-flow applications, Finite element method for incompressible miscible displacement in porous media, Upstream weighting and mixed finite elements in the simulation of miscible displacements, Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods