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Zbl 1177.65181
Pavarino, Luca F.
Domain decomposition methods and scientific computing applications. (English)
[J] Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 8, No. 1, 21-54 (2005). ISSN 0392-4041

Summary: This paper reviews the basic mathematical ideas and convergence analysis of domain decomposition methods. These are parallel and scalable iterative methods for the efficient numerical solution of partial differential equations. Two examples are then presented showing the application of domain decomposition methods to large-scale numerical simulations in computational mechanics and electrocardiology.
MSC 2000:
*65N55 Multigrid methods; domain decomposition (BVP of PDE)

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Scientific prize winners of the ICM 2010
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