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dc.contributor.authorKärkkäinen, Kari
dc.date.accessioned2008-01-09T12:55:54Z
dc.date.available2008-01-09T12:55:54Z
dc.date.issued2005
dc.identifier.isbn951-39-2395-9
dc.identifier.otheroai:jykdok.linneanet.fi:982891
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/13270
dc.description.abstractKari Kärkkäinen tutki tehokkaita ja käyttökelpoisia ratkaisumenetelmiä vapaita pintoja sisältäville malleille. Hän tarkastelee väitöksessään numeerisessa simuloinnissa käytettävien vapaan pinnan ratkaisumenetelmien tehokkuutta ja niiden parantamista käyttäen matemaattista lähestymistapaa. Kärkkäinen ehdottaa ratkaisumenetelmää, jonka avulla vapaan pinnan tehtävien ratkaiseminen on helpompaa. Menetelmää voi myös soveltaa erilaisiin tilanteisiin.fi
dc.description.abstractThis work is devoted to the development of efficient and robust solution algorithms for a class of free boundary problems. This consists of mathematical analysis of different model problems and the description of numerical implementation to generic free boundary problems along with the numerical results. The free boundary problems that are investigated in this work are elliptic stationary boundary value problems with overdetermined boundary conditions. Overdetermined boundary conditions are satisfied only in a special geometry which is a solution to the free boundary problem. The free boundary problems are nonlinear and can not be solved straightforwardly. Algorithms to solve this kind of free boundary problems are iterative, the solution is sought by iterating geometries. The suggested algorithm is based on the combination of continuous shape sensitivity analysis and automatic differentiation of discrete equations. The discrete linearized equations are derived tuning the finite element method to correspond to the continuous shape linearization of the problem. Efficiency of the presented algorithms are tested and illustrated through numerous numerical examples.en
dc.format.extent84 sivua
dc.language.isoeng
dc.publisherUniversity of Jyväskylä
dc.relation.ispartofseriesJyväskylä studies in computing
dc.relation.isversionofISBN 951-39-2354-1
dc.titleShape sensitivity analysis for numerical solution of free boundary problems
dc.typeDiss.
dc.identifier.urnURN:ISBN:951-39-2395-9
dc.type.dcmitypeTexten
dc.type.ontasotVäitöskirjafi
dc.type.ontasotDoctoral dissertationen
dc.contributor.tiedekuntaInformaatioteknologian tiedekuntafi
dc.contributor.tiedekuntaFaculty of Information Technologyen
dc.contributor.yliopistoUniversity of Jyväskyläen
dc.contributor.yliopistoJyväskylän yliopistofi
dc.contributor.oppiaineTietotekniikkafi
dc.relation.issn1456-5390
dc.relation.numberinseries58
dc.rights.accesslevelopenAccessfi
dc.subject.ysomatemaattiset mallit
dc.subject.ysosimulointi
dc.subject.ysomatematiikka
dc.subject.ysoalgoritmit
dc.subject.ysoraja-arvo
dc.subject.ysonumeeriset menetelmät


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