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Recent Advances in Adaptive Coarse Spaces and Availability in Open Source Libraries

Recent advances in adaptive coarse spaces and availability in open source libraries
Authors: Dolean, Victorita; Hecht, Frédéric; Jolivet, Pierre; Nataf, Frédéric; Tournier, Pierre-Henri;

Recent Advances in Adaptive Coarse Spaces and Availability in Open Source Libraries

Abstract

Scalability of parallel solvers for problems with high heterogeneities relies on adaptive coarse spaces built from generalized eigenvalue problems in the subdomains. The corresponding theory is powerful and flexible but the development of an efficient parallel implementation is challenging. We report here on recent advances in adaptive coarse spaces and on their open source implementations.

Keywords

Physiological flow, Journal, Iterative numerical methods for linear systems, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis, Biomedical imaging and signal processing, Parallel numerical computation, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Applied mathematics, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Software, source code, etc. for problems pertaining to numerical analysis, Example, 510, Medical applications (general), example, applied mathematics, journal, Preconditioners for iterative methods, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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