Mixed finite element method for a single phase quasi-linear Stefan problem with a forcing term in non-divergence form.
type: Item
instance of: scholarly article
title: Mixed finite element method for a single phase quasi-linear Stefan problem with a forcing term in non-divergence form.
zbMATH Open document ID: 1062.65108
DOI: 10.1016/S0022-247X(02)00629-7
author: Mi Ray Ohm
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-07-30T00:00:00Z
review text: The \(H_1\)-Galerkin method is applied to a mixed system in the unknown and its flux, describing a quasi-linear single-phase Stefan problem with forcing term in non-divergence form. The approximating finite element spaces are allowed to be of different polynomial degrees, yielding an improved rate of convergence in the \(L_2\)-norm.
reviewed by: Michael Breuß
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 80M10
zbMATH DE Number: 1956851
zbMATH Keywords: mixed finite element method
zbMATH Keywords: quasi-linear Stefan problem
zbMATH Keywords: Galerkin method
zbMATH Keywords: quasi-linear single-phase Stefan problem
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Mixed finite elements for second order elliptic problems in three variables
cites work: Two families of mixed finite elements for second order elliptic problems
cites work: Error estimates for mixed finite element methods for nonlinear parabolic problems
cites work: A priori estimates for mixed finite element methods for the wave equation
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: Q4147568
cites work: Global Estimates for Mixed Methods for Second Order Elliptic Equations
cites work: Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
cites work: On the application of mixed finite element methods to the wave equations
cites work: Error estimates for some mixed finite element methods for parabolic type problems
cites work: Q3907030
cites work: Q3887142
cites work: Q3928190
cites work: Error estimates for a single-phase quasilinear Stefan problem in one space dimension
cites work: \(H_ 1\)-estimates of optimal orders for Galerkin methods to one-dimensional Stefan problems
cites work: Q3182986
cites work: Fully discrete approximation for a quasilinear Stefan problem with forcing term
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 Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension
cites work: An \(H^ 1\)-Galerkin method for a Stefan problem with a quasilinear parabolic equation in nondivergence form
description: scientific article; zbMATH DE number 1956851