Discrete exterior calculus and higher order Whitney forms

Partial differential equations describing various phenomena have a natural expression in terms of differential forms. This thesis discusses higher order Whitney forms as approximations for differential forms. We present how they can be used with discrete exterior calculus to discretise and solve par...

Full description

Bibliographic Details
Main Author: Lohi, Jonni
Other Authors: Informaatioteknologian tiedekunta, Faculty of Information Technology, Informaatioteknologia, Information Technology, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2019
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/63525
_version_ 1828193079803248640
author Lohi, Jonni
author2 Informaatioteknologian tiedekunta Faculty of Information Technology Informaatioteknologia Information Technology Jyväskylän yliopisto University of Jyväskylä
author_facet Lohi, Jonni Informaatioteknologian tiedekunta Faculty of Information Technology Informaatioteknologia Information Technology Jyväskylän yliopisto University of Jyväskylä Lohi, Jonni Informaatioteknologian tiedekunta Faculty of Information Technology Informaatioteknologia Information Technology Jyväskylän yliopisto University of Jyväskylä
author_sort Lohi, Jonni
datasource_str_mv jyx
description Partial differential equations describing various phenomena have a natural expression in terms of differential forms. This thesis discusses higher order Whitney forms as approximations for differential forms. We present how they can be used with discrete exterior calculus to discretise and solve partial differential equations formulated with differential forms.
first_indexed 2019-08-19T08:21:33Z
format Pro gradu
free_online_boolean 1
fullrecord [{"key": "dc.contributor.advisor", "value": "Kettunen, Lauri", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "R\u00e4bin\u00e4, Jukka", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Lohi, Jonni", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2019-04-17T11:00:49Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2019-04-17T11:00:49Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2019", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/63525", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Partial differential equations describing various phenomena have a natural expression in terms of differential forms. This thesis discusses higher order Whitney forms as approximations for differential forms. We present how they can be used with discrete exterior calculus to discretise and solve partial differential equations formulated with differential forms.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Miia Hakanen (mihakane@jyu.fi) on 2019-04-17T11:00:49Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2019-04-17T11:00:49Z (GMT). No. of bitstreams: 0\n Previous issue date: 2019", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "71", "language": "", "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": "eng", "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": "discrete exterior calculus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Whitney forms", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Discrete exterior calculus and higher order Whitney forms", "language": "", "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-201904172208", "language": "", "element": "identifier", "qualifier": "urn", "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": "Informaatioteknologia", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Information Technology", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "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": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"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": null, "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": "", "element": "subject", "qualifier": "oppiainekoodi", "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"}]
id jyx.123456789_63525
language eng
last_indexed 2025-03-31T20:02:08Z
main_date 2019-01-01T00:00:00Z
main_date_str 2019
online_boolean 1
online_urls_str_mv {"url":"https:\/\/jyx.jyu.fi\/bitstreams\/b1427c74-33e4-4abe-974d-cdf5fa3919e3\/download","text":"URN:NBN:fi:jyu-201904172208.pdf","source":"jyx","mediaType":"application\/pdf"}
publishDate 2019
record_format qdc
source_str_mv jyx
spellingShingle Lohi, Jonni Discrete exterior calculus and higher order Whitney forms discrete exterior calculus Whitney forms Tietotekniikka Mathematical Information Technology 602
title Discrete exterior calculus and higher order Whitney forms
title_full Discrete exterior calculus and higher order Whitney forms
title_fullStr Discrete exterior calculus and higher order Whitney forms Discrete exterior calculus and higher order Whitney forms
title_full_unstemmed Discrete exterior calculus and higher order Whitney forms Discrete exterior calculus and higher order Whitney forms
title_short Discrete exterior calculus and higher order Whitney forms
title_sort discrete exterior calculus and higher order whitney forms
title_txtP Discrete exterior calculus and higher order Whitney forms
topic discrete exterior calculus Whitney forms Tietotekniikka Mathematical Information Technology 602
topic_facet 602 Mathematical Information Technology Tietotekniikka Whitney forms discrete exterior calculus
url https://jyx.jyu.fi/handle/123456789/63525 http://www.urn.fi/URN:NBN:fi:jyu-201904172208
work_keys_str_mv AT lohijonni discreteexteriorcalculusandhigherorderwhitneyforms