Finite element approximation of a Stefan problem with degenerate Joule heating

DOI10.1051/m2an:2004030zbMath1072.80010OpenAlexW2007148543WikidataQ117202796 ScholiaQ117202796MaRDI QIDQ5315474

John W. Barrett, Robert Nürnberg

Publication date: 8 September 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2004__38_4_633_0

zbMATH Keywords

convergencefinite elementsStefan problemJoule heatingdegenerate system

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Degenerate parabolic equations (35K65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (4)

Finite element approximation of a phase field model arising in nanostructure patterning ⋮ Stable finite element approximation of a Cahn–Hilliard–Stokes system coupled to an electric field ⋮ EXISTENCE, UNIQUENESS AND APPROXIMATION OF A DOUBLY-DEGENERATE NONLINEAR PARABOLIC SYSTEM MODELLING BACTERIAL EVOLUTION ⋮ Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces

Cites Work

• Compact sets in the space \(L^ p(0,T;B)\)
• Existence for a model arising from the in situ vitrification process
• A compactness theorem and its application to a system of partial differential equations
• Error Analysis of the Enthalpy Method for the Stefan Problem
• On the Finite Element Approximation of an Elliptic Variational Inequality Arising from an Implicit Time Discretization of the Stefan Problem
• Existence of generalized weak solutions to a model for in situ vitrification
• A Finite Element Model for the Time-Dependent Joule Heating Problem
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite element approximation of a Stefan problem with degenerate Joule heating