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Article Dans Une Revue IMA Journal of Numerical Analysis Année : 2008

Discretization of the coupled heat and electrical diffusion problems by the finite element and the finite volume methods

Résumé

The modelling of the heat diffusion coupled with electrical diffusion yields a nonlinear system of elliptic equations. The ohmic losses which appear as a source term in the heat diffusion equation is a nonlinear term which lies in $L^1$. A finite element scheme and a finite volume scheme are considered for the discretization of the system; in both cases, we show that the approximate solution obtained with the scheme converges, up to a subsequence, to a solution of the coupled elliptic system.
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Dates et versions

hal-00123247 , version 1 (08-01-2007)

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Abdallah Bradji, Raphaele Herbin. Discretization of the coupled heat and electrical diffusion problems by the finite element and the finite volume methods. IMA Journal of Numerical Analysis, 2008, 28 (3), pp.469-495. ⟨10.1093/imanum/drm030⟩. ⟨hal-00123247⟩
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