dc.contributor.author	Kaur, Avleen
dc.contributor.examiningcommittee	Slevinsky, Richard (Mathematics) Wang, BingChen (Mechanical Engineering)	en_US
dc.contributor.supervisor	Lui, Shaun (Mathematics) Cowan, Craig (Mathematics)	en_US
dc.date.accessioned	2017-09-11T20:17:58Z
dc.date.available	2017-09-11T20:17:58Z
dc.date.issued	2017
dc.degree.discipline	Mathematics	en_US
dc.degree.level	Master of Science (M.Sc.)	en_US
dc.description.abstract	Knowledge about the spectrum of the Uzawa pressure operator is important for solving and performing an error analysis of the Stokes problem. The infimum of the spectrum of the Uzawa pressure operator is significant, for instance, it gives information about the rate of convergence of numerical methods for the Stokes problem. The spectrum of the Uzawa pressure operator is still not known for the case of a square domain. This thesis provides some results related to this problem. It depicts efforts made in estimating the infimum of the spectrum of the Uzawa pressure operator. In 1996, M. Gaultier and M. Lezaun gave an upper bound equal to 0.2260 for the infimum of the spectrum of the Uzawa pressure operator. We have improved it to 0.20164. We conclude this thesis by giving a conjecture that the infimum of the spectrum of the Uzawa pressure operator is equal to 0.181690.	en_US
dc.description.note	October 2017	en_US
dc.identifier.uri	http://hdl.handle.net/1993/32545
dc.language.iso	eng	en_US
dc.rights	open access	en_US
dc.subject	Mathematics	en_US
dc.subject	Stokes problem	en_US
dc.subject	Uzawa pressure operator	en_US
dc.title	The eigenvalue problem of the Uzawa pressure operator	en_US
dc.type	master thesis	en_US

The eigenvalue problem of the Uzawa pressure operator

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