{"id":"https://openalex.org/W2802626891","doi":"https://doi.org/10.1007/s00211-018-1013-z","title":"Variational discretization of axisymmetric curvature flows","display_name":"Variational discretization of axisymmetric curvature flows","publication_year":2019,"publication_date":"2019-01-03","ids":{"openalex":"https://openalex.org/W2802626891","doi":"https://doi.org/10.1007/s00211-018-1013-z","mag":"2802626891"},"language":"de","primary_location":{"id":"doi:10.1007/s00211-018-1013-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-018-1013-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-018-1013-z.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-018-1013-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"John W. Barrett","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"John W. Barrett","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London, SW7 2AZ, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London, SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Harald Garcke","orcid":null},"institutions":[{"id":"https://openalex.org/I60668342","display_name":"University of Regensburg","ror":"https://ror.org/01eezs655","country_code":"DE","type":"education","lineage":["https://openalex.org/I60668342"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harald Garcke","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Regensburg, 93040, Regensburg, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Regensburg, 93040, Regensburg, Germany","institution_ids":["https://openalex.org/I60668342"]}]},{"author_position":"last","author":{"id":null,"display_name":"Robert N\u00fcrnberg","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Robert N\u00fcrnberg","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London, SW7 2AZ, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London, SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.9409,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84363718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"141","issue":"3","first_page":"791","last_page":"837"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.28790000081062317,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.28790000081062317,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.19110000133514404,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.08980000019073486,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.7820000052452087},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7621999979019165},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6360999941825867},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6114000082015991},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5942000150680542},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5697000026702881}],"concepts":[{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.7820000052452087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7670000195503235},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7621999979019165},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6360999941825867},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6114000082015991},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5942000150680542},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5697000026702881},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4519999921321869},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4278999865055084},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.3894999921321869},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.2874000072479248},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2849999964237213},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.27970001101493835},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.25929999351501465},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.25679999589920044},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00211-018-1013-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-018-1013-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-018-1013-z.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.04322","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.04322","pdf_url":"https://arxiv.org/pdf/1805.04322","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/62940","is_oa":false,"landing_page_url":"http://arxiv.org/abs/1805.04322v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Working Paper"},{"id":"pmh:oai:iris.unitn.it:11572/283427","is_oa":true,"landing_page_url":"https://hdl.handle.net/11572/283427","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00211-018-1013-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-018-1013-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-018-1013-z.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320283","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2802626891.pdf","grobid_xml":"https://content.openalex.org/works/W2802626891.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W16462647","https://openalex.org/W375411588","https://openalex.org/W1498500832","https://openalex.org/W1963537884","https://openalex.org/W1970109887","https://openalex.org/W1974474907","https://openalex.org/W1978539725","https://openalex.org/W1979234362","https://openalex.org/W1980017519","https://openalex.org/W1984786415","https://openalex.org/W1989835079","https://openalex.org/W2000324012","https://openalex.org/W2001442116","https://openalex.org/W2007317432","https://openalex.org/W2008398287","https://openalex.org/W2012450020","https://openalex.org/W2016743114","https://openalex.org/W2021386371","https://openalex.org/W2021824894","https://openalex.org/W2025975819","https://openalex.org/W2036670771","https://openalex.org/W2043304250","https://openalex.org/W2050059859","https://openalex.org/W2056627359","https://openalex.org/W2058981386","https://openalex.org/W2067241014","https://openalex.org/W2073830757","https://openalex.org/W2076068357","https://openalex.org/W2082561253","https://openalex.org/W2084426105","https://openalex.org/W2088992153","https://openalex.org/W2092509712","https://openalex.org/W2106703582","https://openalex.org/W2111024532","https://openalex.org/W2113700713","https://openalex.org/W2115218270","https://openalex.org/W2122833107","https://openalex.org/W2138019194","https://openalex.org/W2338013497","https://openalex.org/W2808463287","https://openalex.org/W6603780577","https://openalex.org/W6605438980"],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1,14,45],"natural":[2],"axisymmetric":[3,32,97],"variants":[4],"of":[5,69,86],"schemes":[6,61,88],"for":[7,24,52],"curvature":[8],"flows":[9,26,71],"introduced":[10,54],"earlier":[11],"by":[12],"the":[13,53,87],"authors":[15],"and":[16,49],"analyze":[17],"them":[18,91],"in":[19,31,65,94],"detail.":[20],"Although":[21],"numerical":[22,34,67],"methods":[23],"geometric":[25,70],"have":[27],"been":[28],"used":[29],"frequently":[30],"settings,":[33],"analysis":[35],"results":[36,51],"so":[37],"far":[38],"are":[39,62],"rare.":[40],"In":[41],"this":[42],"paper,":[43],"we":[44],"stability,":[46],"equidistribution,":[47],"existence":[48],"uniqueness":[50],"approximations.":[55],"Numerical":[56],"computations":[57],"show":[58],"that":[59],"these":[60],"very":[63,95],"efficient":[64],"computing":[66],"solutions":[68],"as":[72],"only":[73],"a":[74],"spatially":[75],"one-dimensional":[76],"problem":[77],"has":[78],"to":[79,92],"be":[80],"solved.":[81],"The":[82],"good":[83],"mesh":[84],"properties":[85],"also":[89],"allow":[90],"compute":[93],"complex":[96],"geometries.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2018-05-17T00:00:00"}