Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition

DOI10.1007/BF02896473zbMath1106.65083MaRDI QIDQ854435

H. Y. Lee

Publication date: 4 December 2006

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

zbMATH Keywords

parabolic equationGalerkin finite element methodStefan problemoptimal error estimatesnonlinear free boundary condition

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) 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) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

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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 with a forcing term
• 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

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