{"id":"https://openalex.org/W4385838955","doi":"https://doi.org/10.1515/jnma-2022-0088","title":"Diffusion of tangential tensor fields: numerical issues and influence of geometric properties","display_name":"Diffusion of tangential tensor fields: numerical issues and influence of geometric properties","publication_year":2023,"publication_date":"2023-08-15","ids":{"openalex":"https://openalex.org/W4385838955","doi":"https://doi.org/10.1515/jnma-2022-0088"},"language":"en","primary_location":{"id":"doi:10.1515/jnma-2022-0088","is_oa":false,"landing_page_url":"https://doi.org/10.1515/jnma-2022-0088","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.research.unipd.it/bitstream/11577/3504085/2/10.1515_jnma-2022-0088.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034399070","display_name":"Elena Bachini","orcid":"https://orcid.org/0000-0001-8610-9426"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"E. Bachini","raw_affiliation_strings":["Institut f\u00fcr Wissenschaftliches Rechnen, Technische Universit\u00e4t Dresden , D-01062 Dresden , Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Wissenschaftliches Rechnen, Technische Universit\u00e4t Dresden , D-01062 Dresden , Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067040443","display_name":"PA Brandner","orcid":"https://orcid.org/0000-0002-6721-878X"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"P. Brandner","raw_affiliation_strings":["Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH Aachen University , D-52056 Aachen , Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH Aachen University , D-52056 Aachen , Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014274226","display_name":"Thomas Jankuhn","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"T. Jankuhn","raw_affiliation_strings":["Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH Aachen University , D-52056 Aachen , Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH Aachen University , D-52056 Aachen , Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083902121","display_name":"Michael Nestler","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Nestler","raw_affiliation_strings":["Institut f\u00fcr Wissenschaftliches Rechnen, Technische Universit\u00e4t Dresden , D-01062 Dresden , Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Wissenschaftliches Rechnen, Technische Universit\u00e4t Dresden , D-01062 Dresden , Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037491479","display_name":"Simon Praetorius","orcid":"https://orcid.org/0000-0002-1372-4708"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"S. Praetorius","raw_affiliation_strings":["Institut f\u00fcr Wissenschaftliches Rechnen, Technische Universit\u00e4t Dresden , D-01062 Dresden , Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Wissenschaftliches Rechnen, Technische Universit\u00e4t Dresden , D-01062 Dresden , Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109253345","display_name":"Arnold Reusken","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Reusken","raw_affiliation_strings":["Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH Aachen University , D-52056 Aachen , Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH Aachen University , D-52056 Aachen , Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044827336","display_name":"Axel Voigt","orcid":"https://orcid.org/0000-0003-2564-3697"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Voigt","raw_affiliation_strings":["Institut f\u00fcr Wissenschaftliches Rechnen, Technische Universit\u00e4t Dresden , D-01062 Dresden , Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Wissenschaftliches Rechnen, Technische Universit\u00e4t Dresden , D-01062 Dresden , Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5037491479"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":0.6474,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62655059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"0","issue":"0","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12081","display_name":"Aerodynamics and Fluid Dynamics Research","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7757468223571777},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6134281158447266},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5648527145385742},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5347002744674683},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5080087184906006},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5078561902046204},{"id":"https://openalex.org/keywords/geometric-flow","display_name":"Geometric flow","score":0.48663243651390076},{"id":"https://openalex.org/keywords/riemann-curvature-tensor","display_name":"Riemann curvature tensor","score":0.4852909445762634},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.46142107248306274},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4606912136077881},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.40364766120910645},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.30114084482192993},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07147872447967529}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7757468223571777},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6134281158447266},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5648527145385742},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5347002744674683},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5080087184906006},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5078561902046204},{"id":"https://openalex.org/C32209215","wikidata":"https://www.wikidata.org/wiki/Q5535483","display_name":"Geometric flow","level":3,"score":0.48663243651390076},{"id":"https://openalex.org/C183517385","wikidata":"https://www.wikidata.org/wiki/Q855112","display_name":"Riemann curvature tensor","level":3,"score":0.4852909445762634},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.46142107248306274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4606912136077881},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.40364766120910645},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.30114084482192993},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07147872447967529},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/jnma-2022-0088","is_oa":false,"landing_page_url":"https://doi.org/10.1515/jnma-2022-0088","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/3504085","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3504085","pdf_url":"https://www.research.unipd.it/bitstream/11577/3504085/2/10.1515_jnma-2022-0088.pdf","source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.research.unipd.it:11577/3504085","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3504085","pdf_url":"https://www.research.unipd.it/bitstream/11577/3504085/2/10.1515_jnma-2022-0088.pdf","source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385838955.pdf","grobid_xml":"https://content.openalex.org/works/W4385838955.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1479704546","https://openalex.org/W1982132391","https://openalex.org/W1990730790","https://openalex.org/W2020335589","https://openalex.org/W2021505562","https://openalex.org/W2024506048","https://openalex.org/W2043377185","https://openalex.org/W2054607036","https://openalex.org/W2099068061","https://openalex.org/W2100657858","https://openalex.org/W2147229895","https://openalex.org/W2149464093","https://openalex.org/W2154641485","https://openalex.org/W2157670588","https://openalex.org/W2528968066","https://openalex.org/W2543191501","https://openalex.org/W2548379481","https://openalex.org/W2559617141","https://openalex.org/W2735104515","https://openalex.org/W2890512204","https://openalex.org/W2938953162","https://openalex.org/W2948151656","https://openalex.org/W2962936676","https://openalex.org/W2963415780","https://openalex.org/W2964087796","https://openalex.org/W3008730422","https://openalex.org/W3023861408","https://openalex.org/W3035385528","https://openalex.org/W3043048973","https://openalex.org/W3084069220","https://openalex.org/W3091675879","https://openalex.org/W3091902572","https://openalex.org/W3100316277","https://openalex.org/W3112401890","https://openalex.org/W3125178117","https://openalex.org/W3135884181","https://openalex.org/W3169265030","https://openalex.org/W4400766334","https://openalex.org/W6931421188"],"related_works":["https://openalex.org/W2060415987","https://openalex.org/W1603796495","https://openalex.org/W4297690722","https://openalex.org/W4324114740","https://openalex.org/W4235074964","https://openalex.org/W2018273323","https://openalex.org/W2656613597","https://openalex.org/W2046877945","https://openalex.org/W2067743769","https://openalex.org/W2002569501"],"abstract_inverted_index":{"Abstract":[0],"We":[1,54],"study":[2],"the":[3,39,43,48,51,56,66,89,92],"diffusion":[4],"of":[5,50,58,91],"tangential":[6,26],"tensor-valued":[7],"data":[8],"on":[9],"curved":[10],"surfaces.":[11],"For":[12],"this":[13],"purpose,":[14],"several":[15],"finite-element-based":[16],"numerical":[17],"methods":[18,34],"are":[19],"collected":[20],"and":[21,47,61],"used":[22],"to":[23,38,74],"solve":[24],"a":[25],"surface":[27,40],"n":[28,71,75],"-tensor":[29],"heat":[30],"flow":[31],"problem.":[32],"These":[33],"differ":[35],"with":[36],"respect":[37],"representation":[41],"used,":[42],"geometric":[44,59],"information":[45],"required,":[46],"treatment":[49],"tangentiality":[52],"condition.":[53],"emphasize":[55],"importance":[57],"properties":[60],"their":[62],"increasing":[63],"influence":[64],"as":[65],"tensorial":[67],"degree":[68],"changes":[69],"from":[70],"=":[72],"0":[73],"\u2265":[76],"1.":[77],"A":[78],"specific":[79],"example":[80],"is":[81],"presented":[82],"that":[83],"illustrates":[84],"how":[85],"curvature":[86],"drastically":[87],"affects":[88],"behavior":[90],"solution.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2023-08-16T00:00:00"}
