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Parallel Multiprojection Preconditioned Methods Based on Subspace Compression
Joint Authors
Gravvanis, G. A.
Filelis-Papadopoulos, C. K.
Moutafis, Byron E.
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
During the last decades, the continuous expansion of supercomputing infrastructures necessitates the design of scalable and robust parallel numerical methods for solving large sparse linear systems.
A new approach for the additive projection parallel preconditioned iterative method based on semiaggregation and a subspace compression technique, for general sparse linear systems, is presented.
The subspace compression technique utilizes a subdomain adjacency matrix and breadth first search to discover and aggregate subdomains to limit the average size of the local linear systems, resulting in reduced memory requirements.
The depth of aggregation is controlled by a user defined parameter.
The local coefficient matrices use the aggregates computed during the formation of the subdomain adjacency matrix in order to avoid recomputation and improve performance.
Moreover, the rows and columns corresponding to the newly formed aggregates are ordered last to further reduce fill-in during the factorization of the local coefficient matrices.
Furthermore, the method is based on nonoverlapping domain decomposition in conjunction with algebraic graph partitioning techniques for separating the subdomains.
Finally, the applicability and implementation issues are discussed and numerical results along with comparative results are presented.
American Psychological Association (APA)
Moutafis, Byron E.& Filelis-Papadopoulos, C. K.& Gravvanis, G. A.. 2017. Parallel Multiprojection Preconditioned Methods Based on Subspace Compression. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1189866
Modern Language Association (MLA)
Moutafis, Byron E.…[et al.]. Parallel Multiprojection Preconditioned Methods Based on Subspace Compression. Mathematical Problems in Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1189866
American Medical Association (AMA)
Moutafis, Byron E.& Filelis-Papadopoulos, C. K.& Gravvanis, G. A.. Parallel Multiprojection Preconditioned Methods Based on Subspace Compression. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1189866
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189866