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Computing
Article . 1993 . Peer-reviewed
License: Springer TDM
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On a BPX-preconditioner for P1 elements

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1993 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 51, pages 125-133 (issn: 0010-485X, eissn: 1436-5057, Copyright policy )
Authors: Peter Oswald;

doi: 10.1007/bf02243847

On a BPX-preconditioner for P1 elements

Abstract

An optimal multilevel preconditioner for nonconforming P1 elements discretizations of second order elliptic boundary value problems is derived. The resulting condition numbers are uniformly bounded with respect to the number of levels \(j\) which is known for the conforming case, and improve the previous results for nonconforming P1 elements.

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Keywords

Iterative numerical methods for linear systems, second order elliptic boundary value problems, Multigrid methods; domain decomposition for boundary value problems involving PDEs, nonconforming P1 elements, Boundary value problems for second-order elliptic equations, optimal multilevel preconditioner, Numerical computation of matrix norms, conditioning, scaling, condition numbers, 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).
    		 61
    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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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!
61
Top 10%
Top 10%
Top 10%
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