Error Control Of A Nonlinear Evolution Problem Related To Phase Transitions

DOI10.1080/01630569908816912zbMath0936.65112OpenAlexW2078661309MaRDI QIDQ4265784

Ulisse Stefanelli

Publication date: 3 May 2000

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

Full work available at URL: https://doi.org/10.1080/01630569908816912

zbMATH Keywords

convergenceerror estimatestime discretizationnonlinear evolution problemsirreversible phase changesmulti-component phase transitions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (2)

Error Estimates for a Variable Time-Step Discretization of a Phase Transition Model with Hyperbolic Momentum ⋮ Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys

Cites Work

• Unnamed Item
• On a nonlinear system for shape memory alloys
• Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert
• A nonlinear system for irreversible phase changes
• A nonlinear evolution problem describing multi-component phase changes with dissipation
• Global existence for the three-dimensional Frémond model of shape memory alloys

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