Analysis of a variable time-step discretization for the Penrose-Fife phase relaxation problem

DOI10.1016/S0362-546X(99)00339-9zbMath0983.65101MaRDI QIDQ5940154

Ulisse Stefanelli

Publication date: 23 April 2002

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

zbMATH Keywords

convergencesolid-liquid phase transitionerror esimatesPenrose-Fife phase relaxation problemvariable time-step discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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Well-posedness of a thermo-mechanical model for shape memory alloys under tension

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