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

DOI10.1016/j.camwa.2017.05.003zbMath1397.65183OpenAlexW2625360059MaRDI QIDQ1663817

G. A. Haveroth, F. G. Fumes, L. R. Chiarelli, E. A. Barros de Moraes, José Luiz Boldrini, Marco L. Bittencourt

Publication date: 24 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.05.003

zbMATH Keywords

finite element methoddiscontinuous Galerkin methoddamageCahn-Hilliardphase fieldAllen-Cahn

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theories of fracture and damage (74A45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Brittle damage (74R05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

A non-isothermal thermodynamically consistent phase field model for damage, fracture and fatigue evolutions in elasto-plastic materials

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