Convergence of a threshold-type algorithm for curvature-dependent motions of hypersurfaces

DOI10.2969/aspm/08510181zbMath1486.65144OpenAlexW3158330499MaRDI QIDQ2042458

Katsuyuki Ishii

Publication date: 20 July 2021

Full work available at URL: https://doi.org/10.2969/aspm/08510181

zbMATH Keywords

convergencecurvature-dependent motionsthreshold-type algorithm

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Rate of convergence, degree of approximation (41A25) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Remarks on the convergence of an algorithm for curvature-dependent motions of hypersurfaces
• A level set method using the signed distance function
• Multiphase volume-preserving interface motions via localized signed distance vector scheme
• Convergence of an Approximation Scheme for Curvature-Dependent Motions of Sets
• Convergence of an approximation scheme for computing motions with curvature dependent velocities

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