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Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations

https://doi.org/10.1090/mcom/2997
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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A combined finite volume–finite element scheme for the discretization of strongly nonlinear convection–diffusion–reaction problems on nonmatching grids
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L1-Contraction and Uniqueness for Quasilinear Elliptic–Parabolic Equations
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Theory and Practice of Finite Elements
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Entropy Method and Asymptotic Behaviours of Finite Volume Schemes
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Nonlinear Functional Analysis
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Quasilinear elliptic-parabolic differential equations
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Compact sets in the spaceL p (O,T; B)
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Entropy Solutions for Nonlinear Degenerate Problems
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Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in L 1
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A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
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A finite volume method on general meshes for a degenerate parabolic convection–reaction–diffusion equation
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Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
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Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
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The finite volume method for Richards equation
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Node-centered finite volume discretizations for the numerical simulation of multiphase flow in heterogeneous porous media
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Mathematical study of a petroleum-engineering scheme
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Book Review: Variational analysis in Sobolev and BV spaces
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The Porous Medium Equation
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Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
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NONLINEAR FUNCTIONAL ANALYSIS
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An Existence Result for Multidimensional Immiscible Two-Phase Flows with Discontinuous Capillary Pressure Field
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A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
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Study of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous Media
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A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data
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Interface conditions for degenerate two-phase flow equations in one space dimension
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Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model
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Numerical analysis of a non equilibrium two-component two-compressible flow in porous media

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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