{"id":"https://openalex.org/W4320490166","doi":"https://doi.org/10.1137/21m1419167","title":"Equivalent Formulations of the Oxygen Depletion Problem, Other Implicit Moving Boundary Value Problems, and Implications for Numerical Approximation","display_name":"Equivalent Formulations of the Oxygen Depletion Problem, Other Implicit Moving Boundary Value Problems, and Implications for Numerical Approximation","publication_year":2023,"publication_date":"2023-02-13","ids":{"openalex":"https://openalex.org/W4320490166","doi":"https://doi.org/10.1137/21m1419167"},"language":"en","primary_location":{"id":"doi:10.1137/21m1419167","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1419167","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5022915126","display_name":"Xinyu Cheng","orcid":"https://orcid.org/0000-0003-1330-3978"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinyu Cheng","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai 200433, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063996841","display_name":"Zhaohui Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhaohui Fu","raw_affiliation_strings":["University of British Columbia, Vancouver V6T 1Z4, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of British Columbia, Vancouver V6T 1Z4, BC, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091102145","display_name":"Brian Wetton","orcid":"https://orcid.org/0000-0002-6808-6301"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Brian Wetton","raw_affiliation_strings":["University of British Columbia, Vancouver V6T 1Z4, BC, Canada"],"raw_orcid":"https://orcid.org/0000-0002-6808-6301","affiliations":[{"raw_affiliation_string":"University of British Columbia, Vancouver V6T 1Z4, BC, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7266,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59728623,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"83","issue":"1","first_page":"52","last_page":"78"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9574999809265137,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9574999809265137,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12209","display_name":"Bone and Joint Diseases","score":0.9193000197410583,"subfield":{"id":"https://openalex.org/subfields/2732","display_name":"Orthopedics and Sports Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6792102456092834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.661334216594696},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6396098732948303},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5961771607398987},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5276057720184326},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5209007263183594},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.49339619278907776},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36014506220817566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3558000326156616},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10729622840881348}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6792102456092834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.661334216594696},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6396098732948303},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5961771607398987},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5276057720184326},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5209007263183594},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49339619278907776},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36014506220817566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3558000326156616},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10729622840881348},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1419167","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1419167","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G5622482756","display_name":null,"funder_award_id":"2022M170796","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320324873","display_name":"South University of Science and Technology of China","ror":"https://ror.org/049tv2d57"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W19457253","https://openalex.org/W1491720843","https://openalex.org/W1541339225","https://openalex.org/W1579797706","https://openalex.org/W1597944220","https://openalex.org/W1892834595","https://openalex.org/W1968368059","https://openalex.org/W1970423582","https://openalex.org/W1994247273","https://openalex.org/W2005745185","https://openalex.org/W2017019963","https://openalex.org/W2041670652","https://openalex.org/W2060200425","https://openalex.org/W2063132464","https://openalex.org/W2068254957","https://openalex.org/W2073670753","https://openalex.org/W2074457835","https://openalex.org/W2077093272","https://openalex.org/W2078644288","https://openalex.org/W2096800758","https://openalex.org/W2498216762","https://openalex.org/W2563898196","https://openalex.org/W2585876520","https://openalex.org/W2951494563","https://openalex.org/W4231269780","https://openalex.org/W4233371490","https://openalex.org/W4233575720"],"related_works":["https://openalex.org/W2807251790","https://openalex.org/W2799406489","https://openalex.org/W1517908938","https://openalex.org/W2049792449","https://openalex.org/W986251431","https://openalex.org/W2503798035","https://openalex.org/W563727013","https://openalex.org/W2281834912","https://openalex.org/W2133690079","https://openalex.org/W2111215486"],"abstract_inverted_index":{"The":[0,11],"oxygen":[1],"depletion":[2],"problem":[3,60],"is":[4],"an":[5,73],"implicit":[6,97],"moving":[7,18,98],"boundary":[8,99],"value":[9,100],"problem.":[10],"dynamics":[12,88],"allow":[13],"topological":[14,90],"changes":[15],"in":[16],"the":[17,29,52,55,59,64,77,86],"boundary.":[19],"We":[20,50,67],"show":[21,68],"several":[22],"mathematical":[23],"formulations":[24,44],"of":[25,58],"this":[26],"model":[27],"from":[28,63],"literature":[30],"and":[31],"give":[32],"a":[33,38,69],"new":[34],"formulation":[35,82],"based":[36,75],"on":[37,76],"gradient":[39,78],"flow":[40,79],"with":[41,80],"constraint.":[42],"All":[43],"are":[45,102,107],"shown":[46],"to":[47,85],"be":[48],"equivalent.":[49],"explore":[51],"possibilities":[53],"for":[54,72],"numerical":[56],"approximation":[57,74],"that":[61,83],"arise":[62],"different":[65],"formulations.":[66],"convergence":[70],"result":[71],"constraint":[81],"applies":[84],"general":[87,93],"including":[89],"changes.":[91],"More":[92],"(vector,":[94],"higher":[95],"order)":[96],"problems":[101,106],"discussed.":[103],"Several":[104],"open":[105],"described.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}