New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media
DOI10.1007/s00211-021-01249-wzbMath1491.65101OpenAlexW3217380608MaRDI QIDQ2068362
Publication date: 19 January 2022
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-021-01249-w
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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
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- Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor
- Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization
- 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
- Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations
- A discontinuous Galerkin method for two-phase flow in a porous medium enforcing \(H(\operatorname{div})\) velocity and continuous capillary pressure
- Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system
- Analytical and variational numerical methods for unstable miscible displacement flows in porous media
- Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media
- An ELLAM approximation for highly compressible multicomponent flows in porous media
- An ELLAM-MFEM solution technique for compressible fluid flows in porous media with point sources and sinks
- A characteristic finite element two-grid algorithm for a compressible miscible displacement problem
- Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media
- An optimal-order error estimate of the lowest-order ELLAM-MFEM approximation to miscible displacement in three space dimensions
- High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes
- An Eulerian-Lagrangian solution technique for single-phase compositional flow in three-dimensional porous media
- Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media
- An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems
- 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
- Mixed Finite Element Methods for Compressible Miscible Displacement in Porous Media
- An Optimal-Order Error Estimate for a Family of ELLAM-MFEM Approximations to Porous Medium Flow
- A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
- Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media
- Mixed finite element methods for generalized Forchheimer flow in porous media
- Timestepping Along Characteristics for a Mixed Finite-Element Approximation for Compressible Flow of Contamination from Nuclear Waste in Porous Media
- Curved Elements in the Finite Element Method. I
- Analysis of a One-Dimensional Model for Compressible Miscible Displacement in Porous Media
- Mixed Finite Element Methods and Applications
- New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media
- A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media
- Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow
- Bound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous Media
- The Stability and Convergence of Fully Discrete Galerkin-Galerkin FEMs for Porous Medium Flows
- Global Weak Solutions to Equations of Compressible Miscible Flows in Porous Media
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control
- Postprocessing the Finite Element Method for Semilinear Parabolic Problems
- A summary of numerical methods for time-dependent advection-dominated partial differential equations
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