Fully discrete approximation for a quasilinear Stefan problem with forcing term
type: Item
instance of: scholarly article
title: Fully discrete approximation for a quasilinear Stefan problem with forcing term
zbMATH Open document ID: 1029.65110
DOI: 10.1016/S0096-3003(01)00249-1
author: Hyun Yong Lee
author: Mi Ray Ohm
author: Jun Yong Shin
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: A finite element Galerkin method is applied to a single-phase quasilinear Stefan problem with forcing term. The backward Euler method is used to construct the fully discretized approximation. Optimal error estimates are derived.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 80M10
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 1861267
zbMATH Keywords: quasilinear Stefan problem
zbMATH Keywords: finite element Galerkin method
zbMATH Keywords: optimal error estimates
zbMATH Keywords: backward Euler method
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
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: A Finite Element Galerkin Method for a Unidimensional Single-Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions
cites work: A Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension
full work available at URL: s0096-3003(01)00249-1
OpenAlex ID: W2042993948
description: scientific article; zbMATH DE number 1861267