Discrete Hyperbolic Curvature Flow in the Plane
نویسندگان
چکیده
Hyperbolic curvature flow is a geometric evolution equation that in the plane can be viewed as natural hyperbolic analogue of curve shortening flow. It was proposed by Gurtin and Podio-Guidugli (1991) to model certain wave phenomena solid-liquid interfaces. We introduce semidiscrete finite difference method for approximation prove error bounds discrete norms. also present numerical simulations, including onset singularities starting from smooth strictly convex initial data.
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2023
ISSN: ['0036-1429', '1095-7170']
DOI: https://doi.org/10.1137/22m1493112