Abstract
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.
Original language | English (US) |
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Pages (from-to) | 857-914 |
Number of pages | 58 |
Journal | SIAM Review |
Volume | 40 |
Issue number | 4 |
DOIs | |
State | Published - Jan 1 1998 |
Externally published | Yes |
Bibliographical note
Generated from Scopus record by KAUST IRTS on 2023-02-15ASJC Scopus subject areas
- Computational Mathematics
- Theoretical Computer Science
- Applied Mathematics