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[01080] About Thermistor Problem: numerical study using Discrete Duality Finite Volume

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G602
  • Type : Contributed Talk
  • Abstract : We propose a DDFV for a coupled nonlinear parabolic-elliptic equations. The system is known as a generalization of the Thermistor problem which models a temperature dependent electrical resistor. We first establish some a prior estimates satisfied by the sequences of approximate solutions. Then, it yields the compactness of these sequences. Passing to the limit in the numerical scheme, we finally obtain that the limit of the sequence of approximate solutions is a weak solution to the problem under study.
  • Classification : 35M30, 35K92, 35J46, 65N08
  • Author(s) :
    • Manar Lahrache (Moulay Ismail University, Faculty of Science, Meknes, Morocco)