Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140509 | Mathematics and Computers in Simulation | 2008 | 10 Pages |
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.
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Authors
Moulay Rchid Sidi Ammi, Delfim F.M. Torres,