A moving mesh method for the solution of the one-dimensional phase-field equations

DOI10.1006/jcph.2002.7140zbMath1178.80007OpenAlexW2070087425MaRDI QIDQ1851286

Yanyan Li

Publication date: 16 December 2002

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

Full work available at URL: https://semanticscholar.org/paper/2d5d436c1c863f9e46997cef9c338908771df9f2

Mathematics Subject Classification ID

Related Items (20)

A simple moving mesh method for one- and two-dimensional phase-field equations ⋮ A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates. I: One-dimensional case ⋮ Deep learning of free boundary and Stefan problems ⋮ An unconditionally stable fast high order method for thermal phase change models ⋮ An adaptive mesh redistribution method for the incompressible mixture flows using phase-field model ⋮ Spectral implementation of an adaptive moving mesh method for phase-field equations ⋮ Rayleigh–Bénard convection with a melting boundary ⋮ Stefan problem through extended finite elements: review and further investigations ⋮ A level set method for three dimensional vector Stefan problems: dissolution of stoichiometric particles in multi-component alloys ⋮ Melting interfaces in induction heated bodies ⋮ One-dimensional solidification of pure materials with a time periodically oscillating temperature boundary condition ⋮ Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration ⋮ Anisotropic mesh adaptation for the solution of the Stefan problem. ⋮ Efficient computation of dendritic growth with \(r\)-adaptive finite element methods ⋮ A comparison of numerical models for one-dimensional Stefan problems ⋮ On balanced moving mesh methods ⋮ A moving boundary problem derived from heat and water transfer processes in frozen and thawed soils and its numerical simulation ⋮ Consistent Dirichlet boundary conditions for numerical solution of moving boundary problems ⋮ Adaptivity with moving grids ⋮ Optimal anisotropic meshes for minimizing interpolation errors in $L^p$-norm

Uses Software

• Algorithm 731
• CWRESU
• CWRESX

Cites Work

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• Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
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• On the Convergence of Iterated Remeshing
• Quantitative phase-field modeling of dendritic growth in two and three dimensions
• A moving mesh finite element method for the solution of two-dimensional Stefan problems
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• On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution

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