Numerical analysis of energy stable weak Galerkin schemes for the Cahn-Hilliard equation
DOI10.1016/j.cnsns.2022.106999zbMath1505.65270OpenAlexW4308949542MaRDI QIDQ2684073
Publication date: 16 February 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106999
Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)
Cites Work
- Unnamed Item
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- A \(C^0\)-weak Galerkin finite element method for the biharmonic equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- On the Cahn-Hilliard equation
- Applications of semi-implicit Fourier-spectral method to phase field equations
- A robust solver for a mixed finite element method for the Cahn-Hilliard equation
- Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation
- A weak Galerkin finite element method for second-order elliptic problems
- Weak-Galerkin finite element methods for a second-order elliptic variational inequality
- High-precision computation of the weak Galerkin methods for the fourth-order problem
- Weak Galerkin finite element method for Poisson's equation on polytopal meshes with small edges or faces
- A fully discrete virtual element scheme for the Cahn-Hilliard equation in mixed form
- A weak Galerkin mixed finite element method for second order elliptic problems
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection
- A weak Galerkin finite element scheme for the Cahn-Hilliard equation
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
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