Analysis of the Morley element for the Cahn–Hilliard equation and the Hele-Shaw flow
DOI10.1051/m2an/2019085zbMath1437.65204arXiv1808.08581OpenAlexW2992540614MaRDI QIDQ5108967
Publication date: 7 May 2020
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.08581
Cahn-Hilliard equationMorley elementHele-Shaw flowgeneralized coercivity result\(\frac{1}{\epsilon}\)-polynomial dependence
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) 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) A priori estimates in context of PDEs (35B45) Finite element methods applied to problems in fluid mechanics (76M10) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items (8)
Cites Work
- Unnamed Item
- A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- Finite element approximations of the stochastic mean curvature flow of planar curves of graphs
- Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions
- 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
- Convergence of the Cahn-Hilliard equation to the Mullins-Sekerka problem in spherical symmetry
- On the stability and accuracy of partially and fully implicit schemes for phase field modeling
- Error analysis of a fully discrete Morley finite element approximation for the Cahn-Hilliard equation
- A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates
- Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow
- Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise
- Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen–Cahn and Ginzburg–Landau Equations Past Topological Changes
- Finite Element Approximation of the Cahn–Hilliard–Cook Equation
- Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow
- Numerical Analysis of a Continuum Model of Phase Transition
- Phase transitions and generalized motion by mean curvature
- A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation
- Convergence of nonconforming multigrid methods without full elliptic regularity
- Spectrum for the allen-chan, chan-hillard, and phase-field equations for generic interfaces
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Two-level additive Schwarz preconditioners for nonconforming finite element methods
- The Cahn–Hilliard Equation: Recent Advances and Applications
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Forty Years of the Crouzeix‐Raviart element
- A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow
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