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[{"key": "dc.contributor.author", "value": "Anjam, Immanuel", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2010-09-22T09:35:46Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2010-09-22T09:35:46Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2010", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1136239", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/25126", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Funktionaaliset a posteriori virhe-estimaatit ovat osoittautuneet luotettavaksi tavaksi arvioida osittaisdifferentiaaliyht\u00e4l\u00f6iden numeeristen ratkaisujen virhett\u00e4. T\u00e4ss\u00e4 tutkielmassa malliongelma on Maxwellin yht\u00e4l\u00f6ist\u00e4 johdettu toisen kertaluvun reuna-arvoteht\u00e4v\u00e4. T\u00e4lle yht\u00e4l\u00f6lle on johdettu jo aikaisemmin funktionaaliset a posteriori virhe-estimaatit, mutta niiden suorituskyky\u00e4 ei ole viel\u00e4 tutkittu kattavasti. Tutkielman alkuosa keskittyy malliongelman numeeriseen ratkaisemiseen: elementtimenetelm\u00e4\u00e4n, jossa k\u00e4ytet\u00e4\u00e4n N\u00e9d\u00e9lecin elementti\u00e4. Tutkielman j\u00e4lkimm\u00e4isess\u00e4 osassa johdetaan funktionaalinen ala- ja yl\u00e4raja. N\u00e4iden estimaattien todetaan analyyttisesti olevan tarkkoja. T\u00e4m\u00e4 ominaisuus vahvistetaan my\u00f6s numeerisilla testeill\u00e4. Numeeriset testit osoittavat my\u00f6s, ett\u00e4 yl\u00e4raja on herkk\u00e4 malliongelman funktion k suhteen. Yl\u00e4rajasta johdetaan my\u00f6s kaksi uutta virheindikaattoria, joiden todetaan toimivan hyvin adaptiivisessa kontekstissa.", "language": "", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Immanuel Anjam (imbeanja) on 2010-09-22 09:35:41.657399. Form: Pro gradu -lomake (1 tekij\u00e4) (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake-1-tekijae). JyX data:", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija@noreply.fi) on 2010-09-22T09:35:46Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201009222689.pdf: 737442 bytes, checksum: 5dffd2038e372bb3e78e90162dddf14f (MD5)\nlicense.html: 5005 bytes, checksum: b1bc360d2f6a2255994334a2f0fbf280 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2010-09-22T09:35:46Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201009222689.pdf: 737442 bytes, checksum: 5dffd2038e372bb3e78e90162dddf14f (MD5)\nlicense.html: 5005 bytes, checksum: b1bc360d2f6a2255994334a2f0fbf280 (MD5)\n Previous issue date: 2010", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "70 sivua", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "virhe-estimaatti", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Maxwell", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Funktionaaliset a posteriori virhe-estimaatit Maxwellin yht\u00e4l\u00f6ille", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201009222689", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.dcmitype", "value": "Text", "language": "en", "element": "type", "qualifier": "dcmitype", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Informaatioteknologian tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Information Technology", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Tietotekniikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Mathematical Information Technology", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Tietotekniikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Mathematical Information Technology", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": "fi", "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "602", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "yht\u00e4l\u00f6t", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "indikaattorit", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
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