Error estimates for mixed finite element approximations to a linear Stefan problem.

DOI10.1007/BF02935759zbMath1053.65075OpenAlexW2164733632MaRDI QIDQ1880486

M. H. Ann, Jun Yong Shin

Publication date: 28 September 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02935759

zbMATH Keywords

Galerkin methoderror boundmixed finite elementsStefan problemsemidiscretization

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

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• Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
• Error estimates for a single-phase quasilinear Stefan problem in one space dimension
• Error analysis of a mixed finite element approximation of a linear Stefan problem.
• \(H_ 1\)-estimates of optimal orders for Galerkin methods to one-dimensional Stefan problems
• A Finite Element Galerkin Method for a Unidimensional Single-Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions
• A Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension
• A finite element method for a single phase semilinear stefan problem in one space dimension
• A Priori Error Estimates in H¹ and H² Norms for Galerkin Approximations to a Single-Phase Nonlinear Stefan Problem in One Space Dimension
• Galerkin method for a Stefan-type problem in one space dimension

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