Finite element approaches to the PTC thermistor problem

Kutluay S., Esen A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.163, sa.1, ss.147-162, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 163 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.01.024
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.147-162
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, subdomain collocation (SC) and Petrov-Galerkin (PG) methods based on spline finite elements have been applied to the one-dimensional positive temperature coefficient (PTC) thermistor problem with a temperature dependent ramp function electrical conductivity to obtain the predicted temperature distributions and the locations of the free boundaries in the steady-state case. The numerical results obtained by the present methods have been compared with the exact solution and also those obtained by earlier authors. A Fourier stability analysis of each method is investigated. (C) 2004 Elsevier Inc. All rights reserved.