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Numerical Methods and Applications
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 couples both equations. 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 adoi:10.1007/978-3-540-70942-8_1 dblp:conf/nma/BradjiH06 fatcat:wdq3arwsebhpnfprwguwnavhra