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
    
    Narvik University College, P.O. Box 385, Narvik N-8505, Norway
    
    
    
    Received 6 April 2001; Revised 4 September 2001
    	
    
     
    Copyright © 2001 Stein A. Berggren et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
     
    
   
 
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.