On the inclusion of damping terms in the hyperbolic MBO algorithm

DOI10.2969/aspm/08510115zbMath1486.65102arXiv1909.00552OpenAlexW3138740902MaRDI QIDQ2042451

Ayumu Katayama, Elliott Ginder

Publication date: 20 July 2021

Full work available at URL: https://arxiv.org/abs/1909.00552

zbMATH Keywords

hyperbolic mean curvature flow

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Finite difference methods for boundary value problems involving PDEs (65N06) Flows related to mean curvature (53E10)

Cites Work

• Wave-type threshold dynamics and the hyperbolic mean curvature flow
• Diffusion generated motion using signed distance functions
• Level set methods and dynamic implicit surfaces
• The hyperbolic mean curvature flow
• Mean Curvature, The Laplacian, and Soap Bubbles
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

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