On the use of local maximum entropy approximants for Cahn-Hilliard phase-field models in 2D domains and on surfaces

DOI10.1016/j.cma.2018.11.023zbMath1440.74370OpenAlexW2902958372MaRDI QIDQ1986853

Fatemeh Amiri, Navid Valizadeh, Saeed Ziaei-Rad, Timon Rabczuk

Publication date: 9 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.11.023

zbMATH Keywords

Cahn-Hilliard equationphase-field modelsdimensionality reduction methodslocal maximum entropynonlinear manifold learning method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Dynamics of phase boundaries in solids (74N20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Nonlocal operator method for the Cahn-Hilliard phase field model ⋮ Isogeometric analysis for phase-field models of geometric PDEs and high-order PDEs on stationary and evolving surfaces ⋮ Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model ⋮ Phase field approach for simulating failure of viscoelastic elastomers ⋮ The Cahn-Hilliard equation with generalized mobilities in complex geometries ⋮ A local meshless method for transient nonlinear problems: preliminary investigation and application to phase-field models

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