Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem

DOI10.1090/S0025-5718-2014-02854-8zbMath1307.65123OpenAlexW2038393809MaRDI QIDQ5497019

Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef

Publication date: 30 January 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2014-02854-8

zbMATH Keywords

algorithmfinite volume methodregularizationlinearizationNewton methoda posteriori error estimatesmesh refinementnumerical resulttime-dependent two-phase Stefan problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Ill-posed problems for PDEs (35R25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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