A finite difference method for a conservative Allen-Cahn equation on non-flat surfaces

DOI10.1016/j.jcp.2016.12.060zbMath1380.65159OpenAlexW2571181132MaRDI QIDQ1685249

Darae Jeong, Junseok Kim, Yongho Choi, Seong-Deog Yang

Publication date: 13 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.12.060

zbMATH Keywords

closest point methodconservative Allen-Cahn equationnarrow band domainspace-time-dependent Lagrange multiplier

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Second-order parabolic equations (35K10)

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Cites Work

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• A simple embedding method for solving partial differential equations on surfaces
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• A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
• ALLEN–CAHN SYSTEMS WITH VOLUME CONSTRAINTS
• Nonlocal reaction—diffusion equations and nucleation
• Metastable Bubble Solutions for the Allen-Cahn Equation with Mass Conservation
• Color Image Segmentation by the Vector-Valued Allen–Cahn Phase-Field Model: A Multigrid Solution

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