Error estimates of fully discrete finite element solutions for the 2D Cahn–Hilliard equation with infinite time horizon
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Publication:5269906
DOI10.1002/num.22121zbMath1365.65209OpenAlexW2552346069WikidataQ115398049 ScholiaQ115398049MaRDI QIDQ5269906
Ruijian He, Xinlong Feng, Zhang-Xin Chen
Publication date: 28 June 2017
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22121
numerical experimentserror estimatemixed finite element methodfully discrete schemeCahn-Hilliard equation with infinite time horizon
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Unnamed Item
- On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection
- A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation
- Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models
- Finite element approximation of the Cahn-Hilliard equation on surfaces
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- On large time-stepping methods for the Cahn-Hilliard equation
- On the Cahn-Hilliard equation
- Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- A linear energy stable scheme for a thin film model without slope selection
- Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Spectral Methods
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
- Analysis of finite element approximations of a phase field model for two-phase fluids
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow
- Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Numerical Analysis of a Continuum Model of Phase Transition
- Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation
- Spectrum for the allen-chan, chan-hillard, and phase-field equations for generic interfaces
- Thin film epitaxy with or without slope selection
- Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
