The combined use of a nonlinear chernoff formula with a regularization procedure for two-phase stefan problems

DOI10.1080/01630568808816279zbMath0629.35116OpenAlexW2075388676MaRDI QIDQ3766232

Ricardo H. Nochetto, Claudio Verdi

Publication date: 1987

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

Full work available at URL: http://purl.umn.edu/4707

zbMATH Keywords

finite elementsregularizationsmoothing processtwo-phase Stefan problemsdiscrete schemeenergy error estimatesnonlinear Chernoff formula

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free boundary problems for PDEs (35R35)

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Cites Work

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• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• Optimal error estimates for an approximation of degenerate parabolic problems
• A class of non-degenerate two-phase stefan problems in several space variables
• Error Analysis of the Enthalpy Method for the Stefan Problem
• Error estimates for multidimensional singular parabolic problems