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  4. Schwarz iterative methods: Infinite space splittings
 
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2016
  • Zeitschriftenaufsatz

Titel

Schwarz iterative methods: Infinite space splittings

Abstract
We prove the convergence of greedy and randomized versions of Schwarz iterative methods for solving linear elliptic variational problems based on infinite space splittings of a Hilbert space. For the greedy case, we show a squared error decay rate of O((m+1)−1) for elements of an approximation space A1 related to the underlying splitting. For the randomized case, we show an expected squared error decay rate of O((m+1)−1) on a class ApIF⊂A1 depending on the probability distribution.
Author(s)
Griebel, M.
Oswald, P.
Zeitschrift
Constructive approximation
Thumbnail Image
DOI
10.1007/s00365-015-9318-y
Language
Englisch
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