A quasi-static two-dimensional induction heating problem II. Numerical analysis

We consider a nonlinear elliptic-parabolic system which stems from the modelling of heat induction processes in which a sinusoidal electromagnetic field is applied at the boundary of the inductor. The magnetic field satisfies an elliptic equation whereas the temperature equation is parabolic. These two equations are coupled due to the Joule effect and to the conductivity dependence on temperature. A Galerkin method for our problem is analyzed and shown to yield error estimates in L-2 and H-1.


Published in:
Mathematical Models & Methods in Applied Sciences, 9, 9, 1333-1350
Year:
1999
ISSN:
0218-2025
Note:
Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Parietti, C, Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland.
ISI Document Delivery No.: 261PP
Times Cited: 3
Cited Reference Count: 5
Laboratories:




 Record created 2006-08-24, last modified 2018-03-17


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)