New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media
From MaRDI portal
Publication:5130996
DOI10.1090/mcom/3561zbMath1452.65359arXiv2002.04820OpenAlexW3080182617MaRDI QIDQ5130996
Publication date: 31 October 2020
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.04820
Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items
Unconditional stability and optimal error analysis of mass conservative characteristic mixed FEM for wormhole propagation, Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity, Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem, New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics, New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media, Analysis of Lowest-Order Characteristics-Mixed FEMs for Incompressible Miscible Flow in Porous Media, Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of a model for precipitation and dissolution coupled with a Darcy flux
- Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor
- Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
- Introduction to modelling of transport phenomena in porous media
- On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs
- Numerical analysis of a stabilized finite element method for tracer injection simulations
- Analytical and variational numerical methods for unstable miscible displacement flows in porous media
- Optimal error estimates of semi-implicit Galerkin method for time-dependent nematic liquid crystal flows
- On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media
- Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media
- Unconditional error estimates for time dependent viscoelastic fluid flow
- Automating the finite element method
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- Finite Volume Approximations for Incompressible Miscible Displacement Problems in Porous Media with Modified Method of Characteristics
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- An optimal-order error estimate for a Galerkin-mixed finite-element time-stepping procedure for porous media flows
- Superconvergence for a time-discretization procedure for the mixed finite element approximation of miscible displacement in porous media
- 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
- Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity
- Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity
- Stability, Monotonicity, Maximum and Minimum Principles, and Implementation of the Volume Corrected Characteristic Method
- Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes
- An Optimal-Order Error Estimate for a Family of ELLAM-MFEM Approximations to Porous Medium Flow
- Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems
- Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods
- A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations
- 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
- On the Approximation of Miscible Displacement in Porous Media by a Method of Characteristics Combined with a Mixed Method
- Galerkin Methods for Miscible Displacement Problems in Porous Media
- Efficient Time-Stepping Methods for Miscible Displacement Problems in Porous Media
- Mathematical Analysis for Reservoir Models
- Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation
- 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
- Error Estimates for Semidiscrete Finite Element Approximations of Linear and Semilinear Parabolic Equations Under Minimal Regularity Assumptions
- A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities
- A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
- Analysis of an Euler implicit-mixed finite element scheme for reactive solute transport in porous media
- A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media
- Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity
- Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow
- Computational Methods for Multiphase Flows in Porous Media
- The Mathematical Theory of Finite Element Methods
- Reservoir Simulation
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- A summary of numerical methods for time-dependent advection-dominated partial differential equations
