Error estimates for a single phase quasilinear Stefan problem with a forcing term

DOI10.1007/BF02935731zbMath1022.65104OpenAlexW2026963655MaRDI QIDQ1871434

Yanyan Li

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

zbMATH Keywords

error estimatessemidiscretizationfree boundaryfinite element Galerkin methodsingle-phase quasi-linear Stefan problem

Mathematics Subject Classification ID

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)

A discrete finite element Galerkin method for a unidimensional single-phase Stefan problem ⋮ Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition ⋮ Mixed finite element method for a single phase quasi-linear Stefan problem with a forcing term in non-divergence form.

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
• 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
• Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
• 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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