Additive Schwarz method: Difference between revisions

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:'''(Model Problem)''' The heat distribution in a square metal plate such that the left edge is kept at 1 degree, and the other edges are kept at 0 degree, after letting it sit for a long period of time satisfies the following boundary value problem:
 
 
<math>::''f''<sub>''xx''</sub>(''x'',''y'') + ''f''<sub>''yy''</sub>(''x'',''y'') = 0</math>
::''f''(0,''y'') = 1; ''f''(''x'',0) = ''f''(''x'',1) = ''f''(1,''y'') = 0