Convergence of space-time discrete threshold dynamics to anisotropic motion by mean curvature

DOI10.3934/dcds.2016076zbMath1353.65097arXiv1411.0301OpenAlexW2962715625MaRDI QIDQ325251

Nung Kwan Yip, Oleksandr Misiats

Publication date: 18 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0301

zbMATH Keywords

algorithmmean curvaturesemidiscretizationBessel functionAllen-Cahn equationdiscrete heat kernelinterface pinningnonlinear singular perturbationspace-time discrete threshold scheme

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Heat kernel (35K08) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items (1)

Dewetting dynamics of anisotropic particles: a level set numerical approach.

Cites Work

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• Geometrical Evolution of Developed Interfaces

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