Convergence of a crystalline approximation for an area-preserving motion.

DOI10.1016/j.cam.2003.08.041zbMath1052.65082OpenAlexW2171432562MaRDI QIDQ1428468

Takeo K. Ushijima, Shigetoshi Yazaki

Publication date: 29 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.041

zbMATH Keywords

convergencecrystalline motionsystems of ODEsparabolic PDEsarea-preserving motioncristalline growthcrystalline algorithm

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items (7)

Unnamed Item ⋮ A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion ⋮ On a perimeter-preserving crystalline flow ⋮ Motion by crystalline-like mean curvature: A survey ⋮ A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow ⋮ A structure-preserving parametric finite element method for area-conserved generalized curvature flow ⋮ Tuning of reachable set in one dimensional fuzzy differential inclusions

Cites Work

• Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
• The heat equation shrinking convex plane curves
• Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature
• On an area-preserving crystalline motion
• Regularity and Convergence of Crystalline Motion
• Convergence of a Crystalline Algorithm for the Motion of a Simple Closed Convex Curve by Weighted Curvature
• Convergence of a Crystalline Algorithm for the Motion of a Closed Convex Curve by a Power of Curvature $V=K^\alpha$
• On anisotropy and curvature effects for growing crystals
• Point-extinction and geometric expansion of solutions to a crystalline motion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence of a crystalline approximation for an area-preserving motion.