A domain decomposition/finite element method for the numerical simulation of electrolytic cells
type: Item
instance of: scholarly article
title: A domain decomposition/finite element method for the numerical simulation of electrolytic cells
zbMATH Open document ID: 0980.80009
DOI: 10.1016/S0045-7825(99)00162-0
author: Alfredo Bermúdez
author: Pilar Salgado
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-10-12T00:00:00Z
review text: The authors discuss the heat transfer problem connected with the ``interior thin layer'' associated with the thermal modelling of an electrolytic cell. The problem is first discussed in an one-dimensional form and then in the more general form. It is shown that the obvious formulation of the problem does not have a solution and a modified formulation, which approximates the problem, is suggested. This involves adding a regularizing term on the boundary, which leads to a solvable problem. A numerical approximation using finite elements is suggested and domain decomposition techniques permit the use of incompatible meshes. The paper closes with a discussion of the results obtained for a typical cell and it is stated that the results agree with those obtained by using another method.
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 80M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65Z05
zbMATH DE Number: 1506875
zbMATH Keywords: modelling of an electrolytic cell
zbMATH Keywords: finite elements
zbMATH Keywords: domain decomposition
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
cites work: Q4876396
cites work: Numerical solution of a three-dimensional thermoelectric problem taking place in an aluminium electrolytic cell
cites work: Existence and uniqueness for a free boundary problem in aluminum electrolysis
cites work: Duality methods for solving variational inequalities
cites work: Mixed and Hybrid Finite Element Methods
cites work: Q5665783
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description: scientific article; zbMATH DE number 1506875