Existence of a solution for a free boundary problem in the thermoelectrical modelling of an aluminium electrolytic cell

DOI10.1017/S0956792502005028zbMath1038.80004OpenAlexW2172077482MaRDI QIDQ4433294

Luisa Consiglieri, M. C. Muñiz

Publication date: 2003

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792502005028

zbMATH Keywords

iterative algorithmweak solutionexistenceheat equationfinite element methodfree boundary problemcompactnessJoule heatingtwo-phase Stefan problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stefan problems, phase changes, etc. (80A22) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Free boundary problems for PDEs (35R35) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (5)

Numerical simulation of thermal problems coupled with magnetohydrodynamic effects in aluminium cell ⋮ Elliptic and parabolic regularity for second- order divergence operators with mixed boundary conditions ⋮ A limit model for thermoelectric equations ⋮ Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge ⋮ Optimal Sobolev Regularity for Linear Second-Order Divergence Elliptic Operators Occurring in Real-World Problems

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