Error Estimates for a Variable Time-Step Discretization of a Phase Transition Model with Hyperbolic Momentum

DOI10.1081/NFA-200042240zbMath1064.74084MaRDI QIDQ4678766

Antonio Segatti

Publication date: 23 May 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

regularityconvergence

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Stefan problems, phase changes, etc. (80A22) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Existence of solutions of dynamical problems in solid mechanics (74H20)

Cites Work

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• Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys
• Error Control Of A Nonlinear Evolution Problem Related To Phase Transitions
• A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
• A posteriori error estimates for a time discrete scheme for a phase-field system of Penrose-Fife type
• Global existence for the three-dimensional Frémond model of shape memory alloys
• Error Analysis for Implicit Approximations to Solutions to Cauchy Problems
• Global solution to a Frémond model for shape memory alloys with thermal memory

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