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Erschienen in:
2007 | OriginalPaper | Buchkapitel
On the Discretization of the Coupled Heat and Electrical Diffusion Problems
verfasst von : Abdallah Bradji, Raphaèle Herbin
Erschienen in: Numerical Methods and Applications
Verlag: Springer Berlin Heidelberg
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We consider a nonlinear system of elliptic equations, which arises when modelling the heat diffusion problem coupled with the electrical diffusion problem. The ohmic losses which appear as a source term in the heat diffusion equation yield a nonlinear term which lies in
L
1
. A finite volume scheme is proposed for the discretization of the system; we show that the approximate solution obtained with the scheme converges, up to a subsequence, to a solution of the coupled elliptic system.