Abderrahmane El Hachimi, Moulay Rchid Sidi Ammi, Delfim F. M. Torres, “A Dual Mesh Method for a Non-Local Thermistor Problem”, SIGMA, 2006, Volume 2,058, 10 pp.

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A Dual Mesh Method for a Non-Local Thermistor Problem

Abderrahmane El Hachimi^a, Moulay Rchid Sidi Ammi^b, Delfim F. M. Torres^b

^a UFR: Applied and Industrial Mathematics, University of Chouaib Doukkali, El Jadida, Maroc
^b Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

Abstract: We use a dual mesh numerical method to study a non-local parabolic problem arising from the well-known thermistor problem.

Keywords: non-local thermistor problem; joule heating; box scheme method.

MSC: 35K55; 65N15; 65N50

Received: December 20, 2005; in final form May 8, 2006; Published online June 2, 2006

Language: English

DOI: 10.3842/SIGMA.2006.058