A first-order energy stable scheme for the Allen-Cahn equation with the Allen-Cahn type dynamic boundary condition (Q6664910)

scientific article; zbMATH DE number 7968714

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English	A first-order energy stable scheme for the Allen-Cahn equation with the Allen-Cahn type dynamic boundary condition	scientific article; zbMATH DE number 7968714

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scholarly article

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title

A first-order energy stable scheme for the Allen-Cahn equation with the Allen-Cahn type dynamic boundary condition (English)

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Journal of Computational and Applied Mathematics

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publication date

16 January 2025

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zbMATH Keywords

Allen-Cahn

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energy stable

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dynamic boundary conditions

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MaRDI profile type

Publication

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cites work

Geometrical image segmentation by the Allen-Cahn equation

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Decoupled, Energy Stable Scheme for Hydrodynamic Allen-Cahn Phase Field Moving Contact Line Model

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Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials

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Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy

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Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations

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Finite element approximation of nematic liquid crystal flows using a saddle-point structure

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On linear schemes for a Cahn-Hilliard diffuse interface model

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Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models

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Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models

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Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals

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Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

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Efficient numerical scheme for a dendritic solidification phase field model with melt convection

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A new Lagrange multiplier approach for gradient flows

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Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection

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A fully decoupled, linear and unconditionally energy stable numerical scheme for a melt-convective phase-field dendritic solidification model

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An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis

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A convergent SAV scheme for Cahn–Hilliard equations with dynamic boundary conditions

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Numerical approximations and error analysis of the Cahn-Hilliard equation with reaction rate dependent dynamic boundary conditions

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Numerical approximations and error analysis of the Cahn-Hilliard equation with dynamic boundary conditions

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Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions

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Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions

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On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and boundary penalization

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A numerical analysis of the Cahn-Hilliard equation with dynamic boundary conditions

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A numerical analysis of the Cahn-Hilliard equation with non-permeable walls

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Structure-preserving finite difference schemes for the Cahn-Hilliard equation with dynamic boundary conditions in the one-dimensional case

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Numerical analysis of a Cahn-Hilliard type equation with dynamic boundary conditions

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Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach

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The Allen-Cahn equation with dynamic boundary conditions and mass constraints

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Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAM.2024.116409

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Sitelinks

Mathematics(1 entry)

mardi Publication:6664910