Fast and stable schemes for phase fields models
From MaRDI portal
Publication:2210604
DOI10.1016/j.camwa.2020.07.015zbMath1451.65125arXiv1909.13511OpenAlexW3080453200MaRDI QIDQ2210604
Jean-Paul Chehab, Matthieu Brachet
Publication date: 7 November 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.13511
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Partial differential equations of mathematical physics and other areas of application (35Q99) Preconditioners for iterative methods (65F08)
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Cites Work
- Unnamed Item
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- Boundary control of the number of interfaces for the one-dimensional Allen-Cahn equation
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Convergence to equilibrium for the backward Euler scheme and applications
- Compact finite difference schemes with spectral-like resolution
- Infinite-dimensional dynamical systems in mechanics and physics.
- Geometrical image segmentation by the Allen-Cahn equation
- A stabilized bi-grid method for Allen-Cahn equation in finite elements
- Stabilized times schemes for high accurate finite differences solutions of nonlinear parabolic equations
- Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
- Time Marching Multilevel Techniques for Evolutionary Dissipative Problems
- Numerical Methods for Large Eigenvalue Problems
- Stationary solutions to phase field crystal equations
- On the Bertozzi--Esedoglu--Gillette--Cahn--Hilliard Equation with Logarithmic Nonlinear Terms
- Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- The Discrete Cosine Transform
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- The Diffuse Interface Approach in Materials Science
- Fast Computation of Spectral Densities for Generalized Eigenvalue Problems
- Numerical Solution of Partial Differential Equations
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
