Search results for "virhe-estimaatti"

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Funktionaaliset a posteriori virhe-estimaatit Maxwellin yhtälöille

2010

Funktionaaliset a posteriori virhe-estimaatit ovat osoittautuneet luotettavaksi tavaksi arvioida osittaisdifferentiaaliyhtälöiden numeeristen ratkaisujen virhettä. Tässä tutkielmassa malliongelma on Maxwellin yhtälöistä johdettu toisen kertaluvun reuna-arvotehtävä. Tälle yhtälölle on johdettu jo aikaisemmin funktionaaliset a posteriori virhe-estimaatit, mutta niiden suorituskykyä ei ole vielä tutkittu kattavasti. Tutkielman alkuosa keskittyy malliongelman numeeriseen ratkaisemiseen: elementtimenetelmään, jossa käytetään Nédélecin elementtiä. Tutkielman jälkimmäisessä osassa johdetaan funktionaalinen ala- ja yläraja. Näiden estimaattien todetaan analyyttisesti olevan tarkkoja. Tämä ominaisuu…

Maxwellvirhe-estimaattiyhtälötindikaattorit

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PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
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LSLife Sciences
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- LS2Integrative Biology: from Genes and Genomes to Systems
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SHSocial Sciences and Humanities
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