An adaptive time‐stepping scheme for the numerical simulation of Cahn‐Hilliard equation with variable mobility

DOI10.1002/zamm.201800246OpenAlexW2941366443MaRDI QIDQ6145901

Abdullah Shah, Sana Ayub, Muhammad Sabir

Publication date: 9 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201800246

zbMATH Keywords

Cahn-Hilliard equationspinodal decompositionadaptive time-steppingDUNE-PDELabdiagonally implicit fractional step \(\theta\)-scheme

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Linear stability analysis of the Cahn-Hilliard equation in spinodal region ⋮ Comparison of different time discretization schemes for solving the Allen-Cahn equation ⋮ A simple benchmark problem for the numerical methods of the Cahn-Hilliard equation

Cites Work

• Unnamed Item
• Computationally efficient solution to the Cahn-Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem
• A class of stable spectral methods for the Cahn-Hilliard equation
• A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework
• A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
• Natural element analysis of the Cahn-Hilliard phase-field model
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Conservative nonlinear difference scheme for the Cahn-Hilliard equation
• Numerical computations of coarsening in the one-dimensional Cahn-Hilliard model of phase separation
• Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
• The Legendre collocation method for the Cahn--Hilliard equation
• Numerical approximation of the Cahn-Hillard equation with memory effects in the dynamics of phase separation
• A time-adaptive finite volume method for the Cahn-Hilliard and Kuramoto-Sivashinsky equations
• A nonstiff, adaptive mesh refinement-based method for the Cahn-Hilliard equation
• Computationally efficient adaptive time step method for the Cahn-Hilliard equation
• Isogeometric analysis of the Cahn-Hilliard phase-field model
• Strong Stability-Preserving High-Order Time Discretization Methods
• Soft Matter Physics
• Finite difference approximate solutions for the Cahn-Hilliard equation
• Energy stable and large time-stepping methods for the Cahn–Hilliard equation
• Inpainting of Binary Images Using the Cahn–Hilliard Equation
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Efficient numerical scheme for solving the Allen‐Cahn equation
• Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
• Galerkin Finite Element Methods for Parabolic Problems
• A discontinuous Galerkin method for the Cahn-Hilliard equation
• A stable and conservative finite difference scheme for the Cahn-Hilliard equation

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