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Domain Decomposition Preconditioning for Problems with Highly Varying Coefficients

Aleksandr Matsokin and Sergei Nepomnyaschikh


In this paper we construct efficient domain decomposition methods for solving scalar second-order elliptic boundary problems in bounded two-dimensional domains with small holes, and present some results of numerical experiments, confirming the efficiency and robustness of the proposed domain decomposition methods.

Received: 2012-04-27
Revised: 2012-07-29
Accepted: 2012-08-11
Published Online: 2012
Published in Print: 2012

© Institute of Mathematics, NAS of Belarus