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Journal of Applied Mathematics 
Volume 1 (2001), Issue 4, Pages 157-173
doi:10.1155/S1110757X01000316

A new method for numerical solution of checkerboard fields

Stein A. Berggren, Dag Lukkassen, Annette Meidell, and Leon Simula

Narvik University College, P.O. Box 385, Narvik N-8505, Norway

Received 6 April 2001; Revised 4 September 2001

Abstract

We consider a generalized version of the standard checkerboard and discuss the difficulties of finding the corresponding field by standard numerical treatment. A new numerical method is presented which converges independently of the local conductivities.