On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions
From MaRDI portal
Publication:4806386
DOI10.1090/S0025-5718-03-01492-3zbMath1084.65093OpenAlexW2060052509MaRDI QIDQ4806386
Publication date: 14 May 2003
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01492-3
finite elementsLubrication approximationfourth order degenerate parabolic equationsnonnegativity preserving
PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
Optimal control for the thin film equation: convergence of a multi-parameter approach to track state constraints avoiding degeneracies, Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model, Existence of nonnegative solutions to stochastic thin-film equations in two space dimensions, Numerical investigation of the generalized lubrication equation, Finite element approximation of a three dimensional phase field model for void electromigration, Some Remarks on Modelling and Simulation of Thin Film Flow, Existence of Positive Solutions to Stochastic Thin-Film Equations, A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber, Nonnegativity preserving convergent schemes for stochastic porous-medium equations, Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants, The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations, Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid, A fully coupled mixed finite element method for surfactants spreading on thin liquid films, Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation, A convergent Lagrangian discretization for a nonlinear fourth-order equation, Preconditioning a class of fourth order problems by operator splitting, Numerical methods for fourth order nonlinear degenerate diffusion problems., Thin-film flow influenced by thermal noise, Droplet Spreading Under Weak Slippage—Existence for the Cauchy Problem, On micro–macro-models for two-phase flow with dilute polymeric solutions — modeling and analysis, Non-negative martingale solutions to the stochastic thin-film equation with nonlinear gradient noise, Counting the stationary states and the convergence to equilibrium for the 1-D thin film equation, Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations, Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher order nonlinear degenerate parabolic equations
- Finite element approximation of a fourth order nonlinear degenerate parabolic equation
- Nonnegativity preserving convergent schemes for the thin film equation
- Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
- Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening
- Finite speed of propagation and continuity of the interface for thin viscous flows
- The thin viscous flow equation in higher space dimensions
- Simulation of singularities and instabilities arising in thin film flow
- On fully practical finite element approximations of degenerate Cahn-Hilliard systems
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- On the Cahn–Hilliard Equation with Degenerate Mobility
- Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
- Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
