Error estimates for a single phase quasilinear Stefan problem with a forcing term
DOI10.1007/BF02935731zbMath1022.65104OpenAlexW2026963655MaRDI QIDQ1871434
Publication date: 13 July 2003
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02935731
error estimatessemidiscretizationfree boundaryfinite element Galerkin methodsingle-phase quasi-linear Stefan problem
Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)
Related Items (3)
Cites Work
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- Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
- \(H_ 1\)-estimates of optimal orders for Galerkin methods to one-dimensional Stefan problems
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- A Priori Error Estimates in H1 and H2 Norms for Galerkin Approximations to a Single-Phase Nonlinear Stefan Problem in One Space Dimension
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