Recovery type a posteriori error estimation of an adaptive finite element method for Cahn-Hilliard equation
From MaRDI portal
Publication:6178648
DOI10.1007/s10915-023-02418-9zbMath1530.65117arXiv2305.01353MaRDI QIDQ6178648
Yunqing Huang, Yaoyao Chen, Peimeng Yin, Nian-Yu Yi
Publication date: 16 January 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.01353
Error bounds for boundary value problems involving PDEs (65N15) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Recovery of normal derivatives from the piecewise \(L^2\) projection
- The superconvergent cluster recovery method
- Error control for the approximation of Allen-Cahn and Cahn-Hilliard equations with a logarithmic potential
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- On the Cahn-Hilliard equation
- The scalar auxiliary variable (SAV) approach for gradient flows
- A posteriori error analysis for time-dependent Ginzburg-Landau type equations
- A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation
- A variant of scalar auxiliary variable approaches for gradient flows
- Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation
- Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- An efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential
- Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow
- On a posteriori error control for the Allen-Cahn problem
- Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen–Cahn and Ginzburg–Landau Equations Past Topological Changes
- Gradient recovery in adaptive finite-element methods for parabolic problems
- The Dynamics of Nucleation for the Cahn–Hilliard Equation
- Quasi-optimal and robust a posteriori error estimates in $L^{\infty}(L^{2})$ for the approximation of Allen-Cahn equations past singularities
- Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
- Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition
- An Anisotropic Error Estimator for the Crank–Nicolson Method: Application to a Parabolic Problem
- Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
- Numerical Analysis of a Continuum Model of Phase Transition
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- Higher Order Local Accuracy by Averaging in the Finite Element Method
- Spectrum for the allen-chan, chan-hillard, and phase-field equations for generic interfaces
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- Superconvergence for the Gradient of Finite Element Approximations byL2Projections
- Some Weighted Averaging Methods for Gradient Recovery
- A Posteriori Error Estimates for the Allen--Cahn Problem
- Adaptive finite element analysis for semilinear elliptic problems
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- A New Finite Element Gradient Recovery Method: Superconvergence Property
- A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- A discontinuous Galerkin method for the Cahn-Hilliard equation
- A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain
