An Adaptive Moving Mesh Method for Forced Curve Shortening Flow

DOI10.1137/18M1211969zbMath1416.65274OpenAlexW2922771091WikidataQ91668473 ScholiaQ91668473MaRDI QIDQ5376555

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Publication date: 13 May 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1211969

zbMATH Keywords

moving mesh methodsgeometric partial differential equationstangential redistributionmonitor functionsforced curve shortening flow

Mathematics Subject Classification ID

Related Items (7)

Numerical Reparametrization of Periodic Planar Curves Via Curvature Interpolation ⋮ Convergence of a scheme for an elastic flow with tangential mesh movement ⋮ Spectrally Accurate Algorithm for Points Redistribution on Closed Curves ⋮ A surface moving mesh method based on equidistribution and alignment ⋮ On motion by curvature of a network with a triple junction ⋮ Tracking the critical points of curves evolving under planar curvature flows ⋮ A Conservative Finite Element ALE Scheme for Mass-Conservative Reaction-Diffusion Equations on Evolving Two-Dimensional Domains

Uses Software

• Chemotaxis

Cites Work

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• Adaptive moving mesh methods
• Evolution of plane curves with a curvature adjusted tangential velocity
• Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation
• A computational method for the coupled solution of reaction-diffusion equations on evolving domains and manifolds: application to a model of cell migration and chemotaxis
• Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
• On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\)
• Geometric surface evolution with tangential contribution
• A simple adaptive technique for nonlinear wave problems
• Removing the stiffness from interfacial flows with surface tension
• Weak solutions of the curve shortening flow
• Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
• Level set methods and dynamic implicit surfaces
• Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy
• The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute
• A Higher Order Scheme for a Tangentially Stabilized Plane Curve Shortening Flow with a Driving Force
• Computation of geometric partial differential equations and mean curvature flow
• On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations
• Adaptivity with moving grids
• Optimal-Transport--Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements
• On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick
• A direct method for solving an anisotropic mean curvature flow of plane curves with an external force
• Moving Mesh Methods for Singular Problems on a Sphere Using Perturbed Harmonic Mappings
• Finite element methods for surface PDEs
• On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
• Practical aspects of formulation and solution of moving mesh partial differential equations

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