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Domain decomposition methods and scientific computing applications

Luca F. Pavarino — 2005

Bollettino dell'Unione Matematica Italiana

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.

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