Error estimates for a semi-explicit numerical scheme for Stefan-type problems

DOI10.1007/BF01398688zbMath0617.65125OpenAlexW1971048096MaRDI QIDQ1822219

Augusto Visintin, Claudio Verdi

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133231

zbMATH Keywords

convergenceerror estimatesnumerical experimentsfinite elementStefan problemsemi-explicit schemerelaxed equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (12)

Heterogeneous Stefan problem and permafrost models with P0-P0 finite elements and fully implicit monolithic solver ⋮ A space-time finite element method for nonlinear parabolic problems ⋮ A PDE problem arising from calculation of the model for continuous casting of steel ⋮ On numerical simulation of the continuous casting process ⋮ Continuous and semidiscrete travelling waves for a phase relaxation model ⋮ The combined use of a nonlinear chernoff formula with a regularization procedure for two-phase stefan problems ⋮ Energy error estimates for a linear scheme to approximate nonlinear parabolic problems ⋮ Numerical approximation of the Preisach model for hysteresis ⋮ An Efficient Linear Scheme to Approximate Parabolic Free Boundary Problems: Error Estimates and Implementation ⋮ Optimal error estimates for semidiscrete phase relaxation models ⋮ Time discretization schemes for the Stefan problem in a concentrated capacity ⋮ Error Control and Andaptivity for a Phase Relaxation Model

Cites Work

• Regularization of mixed second-order elliptic problems
• Stefan Problem with Phase Relaxation
• Error Analysis of the Enthalpy Method for the Stefan Problem
• Approximation of Degenerate Parabolic Problems Using Numerical Integration
• An Enthalpty Formulation of the Stefan Problem
• Error Estimates for the Multidimensional Two-Phase Stefan Problem
• Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis
• Multidimensional Stefan Problems
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