Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem

Moulay Rchid Sidi Ammi and Delfim F.M. Torres

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 291-300

Abstract: We analyze the spatially semidiscrete piecewise linear finite element method for a nonlocal parabolic equation resulting from thermistor problem. Our approach is based on the properties of the elliptic projection defined by the bilinear form associated with the variational formulation of the finite element method. We assume minimal regularity of the exact solution that yields optimal order error estimate. The full discrete backward Euler method and the Crank–Nicolson–Galerkin scheme are also considered. Finally, a simple algorithm for solving the fully discrete problem is proposed.

Keywords: Finite element method; Nonlocal parabolic equation; Elliptic projection; Error estimates (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:291-300

DOI: 10.1016/j.matcom.2007.08.013

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