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 Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4122

title: Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
authors: Sidi Ammi, M.R.
Torres, D.F.M.
keywords: Elliptic projection
Error estimates
Finite element method
Nonlocal parabolic equation
issue date: 2008
publisher: Elsevier
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. © 2007 IMACS.
URI: http://hdl.handle.net/10773/4122
ISSN: 0378-4754
source: Mathematics and Computers in Simulation
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