ARMS: adding and removing markers on splines for high-order general interface tracking under the MARS framework

DOI10.1016/J.JCP.2024.113574MaRDI QIDQ6669106

Kaiyi Liang, Difei Hu, Qinghai Zhang, Linjie Ying, Sen Li

Publication date: 22 January 2025

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

Stefan problemgeometric partial differential equationsmean curvature flowsadding and removing markers on splines (ARMS)general interface trackingmapping and adjusting regular semianalytic sets (MARS)Yin sets

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
• A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
• An algorithm for evolutionary surfaces
• On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\)
• Deforming metrics in the direction of their Ricci tensors
• The heat equation shrinking convex plane curves
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• The heat equation shrinks embedded plane curves to round points
• Volume of fluid (VOF) method for the dynamics of free boundaries
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• Implementation of an X-FEM solver for the classical two-phase Stefan problem
• Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow
• A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
• Multi-material interface reconstruction on generalized polyhedral meshes
• An introduction to manifolds. 2nd revised ed.
• Fourth order Chebyshev methods with recurrence relation
• MARS: an analytic framework of interface tracking via mapping and adjusting regular semialgebraic sets
• Fourth-Order Interface Tracking in Two Dimensions via an Improved Polygonal Area Mapping Method
• Computation of geometric partial differential equations and mean curvature flow
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• On the Internal Stability of Explicit,m-Stage Runge-Kutta Methods for Largem-Values
• Generation and Propagation of Interfaces in Reaction-Diffusion Systems
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Discrete Anisotropic Curve Shortening Flow
• CONVERGENCE OF A SEMI-DISCRETE SCHEME FOR THE CURVE SHORTENING FLOW
• Fourth- and Higher-order Interface Tracking Via Mapping and Adjusting Regular Semianalytic sets Represented by Cubic Splines
• On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick
• Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-order Finite Elements
• Boolean algebra of two-dimensional continua with arbitrarily complex topology
• Convergence of Dziuk's Linearly Implicit Parametric Finite Element Method for Curve Shortening Flow
• Convergence of Dziuk's Fully Discrete Linearly Implicit Scheme for Curve Shortening Flow
• Numerical approximation of gradient flows for closed curves in Rd
• A Robust, Fully Adaptive Hybrid Level-set/front-tracking Method for Two-phase Flows with an Accurate Surface Tension Computation
• Anisotropic curve shortening flow in higher codimension
• An Adaptive Moving Mesh Method for Forced Curve Shortening Flow
• A front-tracking method for the computations of multiphase flow.
• Explicit Runge-Kutta methods for parabolic partial differential equations
• New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution
• Diagonally implicit Runge-Kutta methods for stiff problems
• An AI-aided algorithm for multivariate polynomial reconstruction on Cartesian grids and the PLG finite difference method

This page was built for publication: ARMS: adding and removing markers on splines for high-order general interface tracking under the MARS framework

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6669106)