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Error bounds for the FEM numerical solution of non‐linear field problems

Ioan R. Ciric (Department of Electrical and Computer Engineering, The University of Manitoba, Winnipeg, Canada)
Theodor Maghiar (Department of Electrical Engineering, University of Oradea, Oradea, Romania)
Florea Hantila (Department of Electrical Engineering, “Politehnica” University of Bucharest, Bucharest, Romania)
Costin Ifrim (Ecoair Corp., Hamden, Connecticut, USA)

Abstract

A bound for a norm of the difference between the computed and exact solution vectors for static, stationary or quasistationary non‐linear magnetic fields is derived by employing the polarization fixed point iterative method. At each iteration step, the linearized field is computed by using the finite element method. The error introduced in the iterative procedure is controlled by the number of iterations, while the error due to the chosen discretization mesh is evaluated on the basis of the hypercircle principle.

Keywords

Citation

Ciric, I.R., Maghiar, T., Hantila, F. and Ifrim, C. (2004), "Error bounds for the FEM numerical solution of non‐linear field problems", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 23 No. 3, pp. 835-844. https://doi.org/10.1108/03321640410510802

Publisher

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Emerald Group Publishing Limited

Copyright © 2004, Emerald Group Publishing Limited