Domain Decomposition Algorithms for Indefinite Elliptic Problems Classic Reprint

Xiao-Chuan Cai

ISBN 10: 1332088570 / ISBN 13: 9781332088577

Editore: Forgotten Books, 2018

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New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332088577

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Titolo: Domain Decomposition Algorithms for ...

Casa editrice: Forgotten Books

Data di pubblicazione: 2018

Legatura: PAP

Condizione: New

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Excerpt from Domain Decomposition Algorithms for Indefinite Elliptic Problems

Domain decomposition techniques are powerful iterative methods for solving lin ear systems oi equations that arise from finite element problems. In each iteration step, a coarse mesh finite element problem and a number of smaller linear sys tems, which correspond to the restriction of the original problem to subregions, are solved instead of the large original system. These algorithms can be regarded as divide and conquer methods. The number of subproblems can be large and these methods are therefore promising for parallel computation. The central mathematical question is to obtain estimates on the rate of convergence of the iteration by deriving bounds on the spectrum of the iteration operator. We are able to establish quite satisfactory bounds if the coarse mesh is fine enough.

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