Convergence of a Crystalline Algorithm for the Motion of a Closed Convex Curve by a Power of Curvature $V=K^\alpha$
From MaRDI portal
Publication:4943630
DOI10.1137/S0036142997330135zbMath0946.65071MaRDI QIDQ4943630
Takeo K. Ushijima, Shigetoshi Yazaki
Publication date: 19 March 2000
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
convergencenumerical examplesfinite difference schemeblow-upnonlinear evolution equationmotion by curvaturecrystalline curvaturecurve-shorteningmoving boundary value problemcrystalline algorithm
Nonlinear parabolic equations (35K55) 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) Free boundary problems for PDEs (35R35)
Related Items
Affine invariant distance using multiscale analysis ⋮ Crystalline motion of spiral-shaped polygonal curves with a tip motion ⋮ A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion ⋮ On a perimeter-preserving crystalline flow ⋮ On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. ⋮ Stochastic approximations to curve-shortening flows via particle systems ⋮ Evolution of plane curves with a curvature adjusted tangential velocity ⋮ Convergence of a crystalline approximation for an area-preserving motion. ⋮ Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity ⋮ Tuning of reachable set in one dimensional fuzzy differential inclusions ⋮ On the approximation of blow-up time for solutions of nonlinear parabolic equations ⋮ Convergence of a three-dimensional crystalline motion to Gauss curvature flow