IJPAM: Volume 63, No. 3 (2010)

ON THE THERMISTOR PROBLEM WITH
MIXED BOUNDARY CONDITIONS

Jiansong Zhang
School of Mathematics and Computational Sciences
China University of Petroleum
Dongying, 257061, P.R. CHINA
e-mail: [email protected]


Abstract.In this paper, a standard Galerkin finite element approximate procedure combined with a fixed point algorithm is presented for solving the nonlinear coupled thermistor problem with mixed boundary conditions. The existence and uniqueness of weak solutions are established. The convergence of the approximate solution is analyzed and the corresponding error estimate is given.

Received: July 3, 2010

AMS Subject Classification: 35J20, 65N15, 65N30

Key Words and Phrases: thermistor problem, mixed boundary conditions, fixed point algorithm, error analysis

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 63
Issue: 3