Additive Schwarz method: Difference between revisions

Revision as of 17:13, 8 September 2019

Revision as of 09:34, 29 April 2020

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:where ''f'' is the unknown [[function (mathematics)|function]], ''f''_''xx'' and ''f''_''yy'' denote the second [[partial derivative]]s with respect to ''x'' and ''y'', respectively.

Here, the [[___domain (mathematicsmathematical analysis)|___domain]] is the square [0,1] × [0,1].

This particular problem can be solved exactly on paper, so there is no need for a computer. However, this is an exceptional case, and most BVPs cannot be solved exactly. The only possibility is to use a computer to find an approximate solution.