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Some nonoverlapping domain decomposition methods
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DOI：10.1137/S0036144596306800.png)
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摘要
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The purpose of this paper is to give a unified investigation of a class of nonoverlapping 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.
Keyword:
nonoverlapping domain decomposition
Schur complement
local-global and global-local techniques
jumps in coefficients
substructuring
Neumann-Neumann
balancing methods
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6.1
论文数:
888
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1.2W
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