A B-spline finite element method for the thermistor problem with the modified electrical conductivity
Küçük Resim Yok
Tarih
2004
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, approximate steady-state solutions of a one-dimensional positive temperature coefficient thermistor problem with a modified step function electrical conductivity are obtained by using the Galerkin cubic B-spline finite element method. It is shown that the computational results obtained by the method display the correct physical characteristics of the problem, and they are found to be in very good agreement with the exact solution. It is also shown that the numerical solution exhibits the expected convergence to the exact one as the mesh size is refined. Further a Fourier stability analysis of the method is investigated. (C) 2003 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
thermistor problem, modified electrical conductivity, Galerkin finite element, cubic B-spline functions
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
156
Sayı
3
