A finite element method for a single phase quasilinear free boundary problem in one space dimension

DOI10.1007/BF02896390zbMath1102.65100MaRDI QIDQ2504076

Yanyan Li

Publication date: 22 September 2006

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

zbMATH Keywords

stabilityconvergenceGalerkin finite element methodextrapolationforcing termQuasi-linear Stefan problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

Cites Work

• 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
• 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 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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