Additive Schwarz method: Difference between revisions

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added Schwarz iteration in two subdomains. when im less drunk ill add convergence estimates
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:1) Start with approximate solutions u<sup>(1)</sup><sub>0</sub> and u<sup>(2)</sup><sub>0</sub> of the PDE in subdomains H<sub>1</sub> and H<sub>2</sub> respectively. Initialize k to 1.
:2) Calculate u<sup>(j)</subsup><sub>k+1</sub>=S(f,u<sup>(3-j)</sup></sub>k</sub>(x<sub>j</sub>,.)) with j=1,2.
:3) Increase k by one and repeat 2 until sufficient precision is achieved.