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Mathematics of Computation
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Mathematics of Computation
Article . 1996 . Peer-reviewed
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Mathematics of Computation
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Preconditioners for nonconforming discretizations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1996 English Publisher:American Mathematical Society (AMS)Journal:Mathematics of Computation, volume 65, pages 923-941 (issn: 0025-5718, eissn: 1088-6842, Copyright policy )
Authors: Peter Oswald; Peter Oswald;

doi: 10.1090/s0025-5718-96-00717-x

Preconditioners for nonconforming discretizations

Abstract

We prove an abstract norm equivalence for a two-level method, which allows us to reduce the construction of preconditioners for nonconforming finite element discretizations to known cases of conforming elements.

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Keywords

preconditioners, Iterative numerical methods for linear systems, Multigrid methods; domain decomposition for boundary value problems involving PDEs, multilevel preconditioning, nonconforming finite element, two-level method, Numerical computation of matrix norms, conditioning, scaling, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

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citations
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!
20
Average
Top 10%
Average
bronze