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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Numerische Mathemati...arrow_drop_down
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Numerische Mathematik
Article . 1979 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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On the fast solutions of nonlinear elliptic equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1979 English Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 32, pages 83-95 (issn: 0029-599X, eissn: 0945-3245, Copyright policy )
Authors: Hackbusch, W.;

doi: 10.1007/bf01397652

On the fast solutions of nonlinear elliptic equations

Abstract

In a recent paper we described a multi-grid algorithm for the numerical solution of Fredholm's integral equation of the second kind. This "multi-grid iteration of the second kind" has important applications to elliptic boundary value problems. Here we study the treatment of nonlinear boundary value problems. The required amount of computational work is proportional to the work needed for a sequence of linear equations. No derivatives are required since these linear problems are not the linearized equations.

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Keywords

fast solutions, 510.mathematics, Nonlinear boundary value problems for linear elliptic equations, Fredholm integral equations, Numerical solution of discretized equations for boundary value problems involving PDEs, Article, nonlinear elliptic boundary value problems

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    citations
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    		 27
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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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!
27
Average
Top 10%
Top 10%
Green