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An energy-stable time-integrator for phase-field models

  • Published:2017-04 Issue: Volume:316 Page:1179-1214
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Vignal P.ORCID,Collier N.,Dalcin L.ORCID,Brown D.L.,Calo V.M.

Funder

Center for Numerical Porous Media (NumPor) at King Abdullah University of Science and Technology

Agencia Nacional de Promoción Científica y Tecnológica

National Priorities Research Program

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference63 articles.

1. The thermodynamik theory of capillarity under the hypothesis of a continuous variation of density;Rowlinson;J. Stat. Phys.,1979

2. Phase-field models;Plapp,2012

3. Free energy of a nonuniform system. I. Interfacial free energy;Cahn;J. Chem. Phys,1958

4. Isogeometric analysis of the Cahn–Hilliard phase-field model;Gomez;Comput. Methods Appl. Mech. Engrg.,2008

5. Stabilized second-order convex splitting schemes for Cahn–Hilliard models with application to diffuse-interface tumor-growth models;Wu;Int. J. Numer. Methods Biomed. Eng.,2014

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