Modelling phase transitions in alloys

DOI10.1016/j.na.2005.03.090zbMath1224.74110OpenAlexW1999347839MaRDI QIDQ999887

Maria Gokieli, Leszek Marcinkowski

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.03.090

zbMATH Keywords

finite elementattractorevolution equations

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Thermal effects in solid mechanics (74F05)

Related Items (7)

Convergence analysis of the fully discrete hybridizable discontinuous Galerkin method for the Allen-Cahn equation based on the invariant energy quadratization approach ⋮ On the stability and transition of the Cahn-Hilliard/Allen-Cahn system ⋮ Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation ⋮ Non-iterative compact operator splitting scheme for Allen-Cahn equation ⋮ A practical adaptive grid method for the Allen-Cahn equation

Cites Work

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• Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
• Discrete approximation of the Cahn-Hilliard/Allen-Cahn system with logarithmic entropy
• Global attractor for the Cahn-Hilliard/Allen-Cahn system
• Subdifferential operator approach to the Cahn-Hilliard equation with constraint
• Evolution equations for phase separation and ordering in binary alloys
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
• The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis
• On the Cahn-Hilliard equation with a logarithmic free energy
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

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