Some Non-overlapping Domain Decomposition Methods

Released on by Jinchao Xu
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  • Some Non-overlapping Domain Decomposition Methods Book Detail

  • Author : Jinchao Xu
  • Release Date : 1998
  • Publisher :
  • Genre : Decomposition method
  • Pages : 64
  • ISBN 13 :
  • File Size : 14,14 MB
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Some Non-overlapping Domain Decomposition Methods by Jinchao Xu PDF Summary

Book Description: The purpose of this paper is to give a unified investigation on a class of non-overlapping domain decomposition methods for solving second order elliptic problems in two and three dimensions. The methods under scrutiny fall into two major categories: the substructuring type methods and the Neumann-Neumann type methods. The basic framework used for analysis is the parallel subspace correction method or additive Schwarz method, and other technical tools include local-global and global-local techniques. The analyses for both two and three dimensional cases are carried out simultaneously. Some internal relationships between various algorithms are observed and several new variants of the algorithms are also derived.

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