Mixed finite element method for a single phase Stefan problem
type: Item
instance of: scholarly article
title: Mixed finite element method for a single phase Stefan problem
zbMATH Open document ID: 1007.65074
published in: The Journal of Analysis
publication date: 2003-04-02T00:00:00Z
review text: A mixed finite element method is applied to a one-dimensional single phase Stefan problem using a front fixing technique. The free boundary of the problem is transformed by a Landau type transformation into a coupled system of a parabolic equation with a quadratic nonlinear term in a fixed domain and two ordinary differential equations. A mixed weak formulation and a continuous time Galerkin method are introduced. For the semi-discrete case optimal error estimates in \(L^2\), \(H^1\) and \(H^2\) norms are given.
reviewed by: Kai Schneider
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1786366
zbMATH Keywords: finite elements
zbMATH Keywords: Stefan problem
zbMATH Keywords: error estimates
zbMATH Keywords: free boundary problem
zbMATH Keywords: semidiscretization
zbMATH Keywords: Landau type transformation
zbMATH Keywords: Galerkin method
author: L. Jones Tarcius Doss
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1786366