A level set method using the signed distance function

DOI10.1007/BF03167487zbMath1016.65068OpenAlexW2326928393WikidataQ121278461 ScholiaQ121278461MaRDI QIDQ1859350

Hirofumi Notsu, Masato Kimura

Publication date: 29 July 2003

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167487

zbMATH Keywords

algorithmconvergencecomparison of methodsmean curvature flowfinite element methodfinite difference methodmoving boundary problemlevel set methodsigned distance functionexterior one-phase Hele-Shaw problemtwo-phase generalized Stefan problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35)

Related Items

APPROXIMATION OF THE ANISOTROPIC MEAN CURVATURE FLOW, Diffusion generated motion using signed distance functions, Remarks on the convergence of an algorithm for curvature-dependent motions of hypersurfaces, Convergence of a threshold-type algorithm for curvature-dependent motions of hypersurfaces, Comoving mesh method for certain classes of moving boundary problems

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