Numerical Solution of Constrained Curvature Flow for Closed Planar Curves

DOI10.1007/978-3-319-39929-4_52zbMath1355.82012OpenAlexW2549636646MaRDI QIDQ3179698

Michal Beneš, Miroslav Kolář, Daniel Ševčovič

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39929-4_52

zbMATH Keywords

finite volume methodphase transitionscurvature flowdegenerate parabolic equationsevolution lawcrystalline materials

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Degenerate parabolic equations (35K65) Phase transitions (general) in equilibrium statistical mechanics (82B26) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

A fully discrete curve-shortening polygonal evolution law for moving boundary problems

Cites Work

• Unnamed Item
• Unnamed Item
• Diffuse-interface treatment of the anisotropic mean-curvature flow.
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Area-preserving curve-shortening flows: From phase separation to image processing
• The surface area preserving mean curvature flow
• Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy
• Computational studies of non-local anisotropic Allen-Cahn equation
• Algorithms for Area Preserving Flows
• Computation of geometric partial differential equations and mean curvature flow
• On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations
• Nonlocal reaction—diffusion equations and nucleation
• Parametric mean curvature evolution with a Dirichlet boundary condition.
• Computational studies of conserved mean-curvature flow