Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition
type: Item
instance of: scholarly article
title: Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition
zbMATH Open document ID: 1106.65083
DOI: 10.1007/BF02896473
author: Hyun Young Lee
published in: Journal of Applied Mathematics and Computing
publication date: 2006-12-04T00:00:00Z
review text: The author transforms a Stefan problem with a nonlinear free boundary condition into a system consisting of a parabolic equation and ordinary differential equations by means of a Landau-type transformation. A fully discrete finite element method is developed to approximate the solution of the system of a parabolic equation and ordinary differential equations.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 80M10
zbMATH DE Number: 5076947
zbMATH Keywords: Galerkin finite element method
zbMATH Keywords: nonlinear free boundary condition
zbMATH Keywords: optimal error estimates
zbMATH Keywords: Stefan problem
zbMATH Keywords: parabolic equation
MaRDI profile type: Publication
cites work: Extrapolated Crank-Nicolson approximation for a linear Stefan problem with a forcing term
cites work: A Priori Error Estimates in H1 and H2 Norms for Galerkin Approximations to a Single-Phase Nonlinear Stefan Problem in One Space Dimension
cites work: Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
cites work: Q3907030
cites work: Q3928190
cites work: Error estimates for a single phase quasilinear Stefan problem with a forcing term
cites work: A Finite Element Galerkin Method for a Unidimensional Single-Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions
cites work: A finite element method for a single phase semilinear stefan problem in one space dimension
cites work: A Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension
description: scientific article; zbMATH DE number 5076947