A level set based finite element algorithm for the simulation of dendritic growth

DOI10.1007/s00791-004-0141-4zbMath1120.80310OpenAlexW2021517299MaRDI QIDQ1780947

Michael Fried

Publication date: 14 June 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-004-0141-4

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (4)

Implementation of an X-FEM solver for the classical two-phase Stefan problem ⋮ Stability of flat interfaces during semidiscrete solidification ⋮ On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth ⋮ Adaptive finite elements with high aspect ratio for dendritic growth of a binary alloy including fluid flow induced by shrinkage

Uses Software

• ALBERT

Cites Work

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Motion of level sets by mean curvature. III
• Crystal growth and dendritic solidification
• Non-parametric mean curvature evolution with boundary conditions
• Fast tree-based redistancing for level set computations
• Evolving plane curves by curvature in relative geometries
• A level set approach for computing solutions to incompressible two-phase flow
• Computation of three dimensional dendrites with finite elements
• Computing minimal surfaces via level set curvature flow
• Convergent difference schemes for nonlinear parabolic equations and mean curvature motion
• Models of phase transitions
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Local mesh refinement in 2 and 3 dimensions
• Motion of Level Sets by Mean Curvature. II
• Global Existence of Weak Solutions for Interface Equations Coupled with Diffusion Equations
• A Convergent Adaptive Algorithm for Poisson’s Equation
• Algorithms for Computing Motion by Mean Curvature
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