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Numerical Mountain Pass and its Applications

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Dec 2006 English Publisher:WileyJournal:PAMM, volume 6, pages 7-10 (issn: 1617-7061, eissn: 1617-7061, Copyright policy )
Authors: Horák, J.; Lord, G.J.; Peletier, M.A.;

doi: 10.1002/pamm.200610003

Numerical Mountain Pass and its Applications

Abstract

AbstractThe mountain pass theorem is an important tool in the calculus of variations and in finding solutions to nonlinear PDEs in general. The mountain pass structure can be exploited numerically, as well. We explain the main ideas on an example of buckling of a cylindrical shell. First, we prove existence of an MP‐solution for almost all values of a given load parameter. Then, we find a numerical approximation of such a solution. Finally, we compare the results of a numerical continuation in the load parameter with results of physical experiments and make a few comments about further numerical investigations of the problem. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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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
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