Additive Schwarz method: Difference between revisions

Revision as of 18:36, 27 November 2005

Revision as of 16:38, 15 March 2006

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=== Domain decomposition ===

Which brings us to ___domain decomposition methods. If we split the ___domain [0,1] × [0,1] into two ''subdomains'' [0,0.5] × [0,1] and [0.5,1] × [0.,1], each has only half of the sample points. So we can try to solve a version of our model problem on each subdomain, but this time each subdomain has only 32 sample points. Finally, given the solutions on each subdomain, we can attempt to reconcile them to obtain a solution of the original problem on [0,1] × [0,1].

==== Size of the problems ====