Journal article
A QUASI-STATIC TWO-DIMENSIONAL INDUCTION HEATING PROBLEM II: NUMERICAL ANALYSIS
- PARIETTI, C. Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
- RAPPAZ, J. Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
- 2011-11-21
Published in:
- Mathematical Models and Methods in Applied Sciences. - World Scientific Pub Co Pte Lt. - 1999, vol. 09, no. 09, p. 1333-1350
English
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 L2 and H1 .
- Language
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- English
- Open access status
- closed
- Identifiers
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- DOI 10.1142/s0218202599000592
- ISSN 0218-2025
- Persistent URL
- https://sonar.ch/global/documents/231638
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