{"id":"https://openalex.org/W2044382551","doi":"https://doi.org/10.1137/130927668","title":"Manifold Evolution with Tangential Redistribution of Points","display_name":"Manifold Evolution with Tangential Redistribution of Points","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2044382551","doi":"https://doi.org/10.1137/130927668","mag":"2044382551"},"language":"en","primary_location":{"id":"doi:10.1137/130927668","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130927668","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012615158","display_name":"Karol Mikula","orcid":"https://orcid.org/0000-0002-5360-8779"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karol Mikula","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073354389","display_name":"Mariana Reme\u0161\u00edkov\u00e1","orcid":"https://orcid.org/0009-0002-7623-1166"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mariana Reme\u0161\u00edkov\u00e1","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027117940","display_name":"Peter Sarkoci","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter Sarkoci","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5041720901","display_name":"Daniel \u0160ev\u010dovi\u010d","orcid":"https://orcid.org/0000-0002-1488-7736"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel \u0160ev\u010dovi\u010d","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.4307,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.91707862,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"36","issue":"4","first_page":"A1384","last_page":"A1414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9965999722480774,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9965999722480774,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9950000047683716,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7026998400688171},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6501831412315369},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6314992904663086},{"id":"https://openalex.org/keywords/redistribution","display_name":"Redistribution (election)","score":0.6214845776557922},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4641854166984558},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4211030900478363},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4138185679912567},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3006068468093872},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28782257437705994}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7026998400688171},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6501831412315369},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6314992904663086},{"id":"https://openalex.org/C74080474","wikidata":"https://www.wikidata.org/wiki/Q7305975","display_name":"Redistribution (election)","level":3,"score":0.6214845776557922},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4641854166984558},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4211030900478363},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4138185679912567},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3006068468093872},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28782257437705994},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130927668","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130927668","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1966496531","https://openalex.org/W1974612288","https://openalex.org/W1974879453","https://openalex.org/W1974956622","https://openalex.org/W1977272864","https://openalex.org/W1978539725","https://openalex.org/W1983415051","https://openalex.org/W1987579928","https://openalex.org/W2008398287","https://openalex.org/W2015242782","https://openalex.org/W2027016266","https://openalex.org/W2041170998","https://openalex.org/W2041297121","https://openalex.org/W2046390813","https://openalex.org/W2049361015","https://openalex.org/W2049876473","https://openalex.org/W2050059859","https://openalex.org/W2056742501","https://openalex.org/W2058981386","https://openalex.org/W2062314820","https://openalex.org/W2065164181","https://openalex.org/W2066945800","https://openalex.org/W2067042508","https://openalex.org/W2069106519","https://openalex.org/W2071308149","https://openalex.org/W2083391393","https://openalex.org/W2104095591","https://openalex.org/W2113751265","https://openalex.org/W2145645041","https://openalex.org/W2155216327","https://openalex.org/W2186170414","https://openalex.org/W2286558985","https://openalex.org/W2998909038","https://openalex.org/W3102383992","https://openalex.org/W3211330693"],"related_works":["https://openalex.org/W2080866340","https://openalex.org/W2519031001","https://openalex.org/W2002725676","https://openalex.org/W3125527999","https://openalex.org/W2068888481","https://openalex.org/W2209427229","https://openalex.org/W1966285083","https://openalex.org/W2118047343","https://openalex.org/W2053698790","https://openalex.org/W2135528694"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,67],"propose":[4],"several":[5,73],"techniques":[6,71],"for":[7],"tangential":[8,50],"redistribution":[9,51,93],"of":[10,23,31,41,57,82,91],"points":[11],"on":[12,38],"evolving":[13,61],"surfaces.":[14],"This":[15],"is":[16],"an":[17,58,63],"important":[18],"issue":[19],"in":[20,53,62],"numerical":[21,80],"approximation":[22,81],"any":[24],"Lagrangian":[25],"evolution":[26,75],"model,":[27],"since":[28],"the":[29,32,39,42,46,69,79,83,89],"quality":[30],"mesh":[33],"has":[34],"a":[35,54],"significant":[36],"impact":[37],"result":[40],"computation.":[43],"We":[44,77],"explain":[45,78],"volume-oriented":[47],"and":[48,85],"length-oriented":[49],"methods":[52],"general":[55],"setting":[56],"$m$-dimensional":[59],"manifold":[60,74],"$n$-dimensional":[64],"manifold.":[65],"Then,":[66],"apply":[68],"proposed":[70],"to":[72],"problems.":[76],"models":[84],"present":[86],"experiments":[87],"illustrating":[88],"performance":[90],"our":[92],"techniques.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}