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Comparison of high order finite element and discontinuous Galerkin methods for phase field equations: Application to structural damage

  • Published:2017-10 Issue:7 Volume:74 Page:1542-1564
  • ISSN:0898-1221
  • Container-title:Computers & Mathematics with Applications
  • language:en
  • Short-container-title:Computers & Mathematics with Applications

Author:

Chiarelli L.R.,Fumes F.G.ORCID,Moraes E.A. Barros de,Haveroth G.A.ORCID,Boldrini J.L.,Bittencourt M.L.ORCID

Funder

São Paulo Research Foundation (FAPESP)

Coordination for the Improvement of Higher Education Personnel (CAPES)

National Council for Research and Development (CNPq)

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference42 articles.

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

2. Phase-field models for multi-component fluid flows;Kim;Commun. Comput. Phys.,2012

3. Ground state structures in ordered binary alloys with second neighbor interactions;Allen;Acta Metall.,1972

4. A residual-based Allen–Cahn phase field model for the mixture of incompressible fluid flows;Vasconcelos;Internat. J. Numer. Methods Fluids,2014

5. Phase-field Models for Tumor Growth Uin the Avascular Phase, Master’s thesis;da Silva,2009

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