Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?

DOI10.4208/cicp.190313.010813azbMath1388.65096arXiv1212.2077OpenAlexW2085604285WikidataQ117202086 ScholiaQ117202086MaRDI QIDQ5372211

John W. Barrett, Harald Garcke, Robert Nürnberg

Publication date: 27 October 2017

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

Full work available at URL: https://arxiv.org/abs/1212.2077

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Statistical mechanics of crystals (82D25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations ⋮ Analysis of an iterative scheme of fractional steps type associated to the reaction-diffusion equation endowed with a general nonlinearity and Cauchy-Neumann boundary conditions

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