Error estimates for a single-phase quasilinear Stefan problem in one space dimension
type: Item
instance of: scholarly article
title: Error estimates for a single-phase quasilinear Stefan problem in one space dimension
zbMATH Open document ID: 0907.65129
DOI: 10.1016/S0168-9274(97)00100-1
author: D. Massart
published in: Applied Numerical Mathematics
publication date: 1998-06-02T00:00:00Z
review text: The authors develop a modified Crank-Nicolson method applied to a single-phase quasilinear Stefan problem. The convergence of order 2 in the temporal direction is achieved. Optimal error estimates for \(L^2\) and \(H^1\) norms are derived.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1133184
zbMATH Keywords: finite element
zbMATH Keywords: optimal error estimates
zbMATH Keywords: Crank-Nicolson method
zbMATH Keywords: quasilinear Stefan problem
zbMATH Keywords: convergence
reviewed by: V. P. Tyagi
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: s0168-9274(97)00100-1
OpenAlex ID: W2006583689
description: scientific article; zbMATH DE number 1133184