{"id":"https://openalex.org/W7153845668","doi":"https://doi.org/10.1016/j.cam.2026.117702","title":"An adaptive numerical method for solving the Allen\u2013Cahn equation on curved surfaces","display_name":"An adaptive numerical method for solving the Allen\u2013Cahn equation on curved surfaces","publication_year":2026,"publication_date":"2026-04-12","ids":{"openalex":"https://openalex.org/W7153845668","doi":"https://doi.org/10.1016/j.cam.2026.117702"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2026.117702","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117702","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and 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/A5048741165","display_name":"Hyundong Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I133533813","display_name":"Gangneung\u2013Wonju National University","ror":"https://ror.org/0461cvh40","country_code":"KR","type":"education","lineage":["https://openalex.org/I133533813"]},{"id":"https://openalex.org/I165507594","display_name":"Kangwon National University","ror":"https://ror.org/01mh5ph17","country_code":"KR","type":"education","lineage":["https://openalex.org/I165507594"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyundong Kim","raw_affiliation_strings":["Department of Mathematics and Physics, Kangwon National University, Gangneung, 25457, Republic of Korea","Institute for Smart Infrastructure, Kangwon National University, Gangneung, 25457, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Kangwon National University, Gangneung, 25457, Republic of Korea","institution_ids":["https://openalex.org/I133533813","https://openalex.org/I165507594"]},{"raw_affiliation_string":"Institute for Smart Infrastructure, Kangwon National University, Gangneung, 25457, Republic of Korea","institution_ids":["https://openalex.org/I165507594"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089650515","display_name":"Qunzhi Jin","orcid":null},"institutions":[{"id":"https://openalex.org/I1793135","display_name":"Yanbian University","ror":"https://ror.org/039xnh269","country_code":"CN","type":"education","lineage":["https://openalex.org/I1793135"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qunzhi Jin","raw_affiliation_strings":["College of Science, Yanbian University, Yanji, 133002, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Yanbian University, Yanji, 133002, China","institution_ids":["https://openalex.org/I1793135"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033765383","display_name":"Xinpei Wu","orcid":"https://orcid.org/0009-0008-4404-9822"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Xinpei Wu","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea","institution_ids":["https://openalex.org/I197347611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083693585","display_name":"Soobin Kwak","orcid":"https://orcid.org/0000-0001-7693-8992"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Soobin Kwak","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea","institution_ids":["https://openalex.org/I197347611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014947679","display_name":"Zhengang Li","orcid":"https://orcid.org/0009-0003-4679-2488"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Zhengang Li","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea","institution_ids":["https://openalex.org/I197347611"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100698865","display_name":"Junseok Kim","orcid":"https://orcid.org/0000-0002-0484-9189"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Junseok Kim","raw_affiliation_strings":["Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea"],"raw_orcid":"https://orcid.org/0000-0002-0484-9189","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea University, Seoul, 02841, Republic of Korea","institution_ids":["https://openalex.org/I197347611"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100698865"],"corresponding_institution_ids":["https://openalex.org/I197347611"],"apc_list":{"value":3040,"currency":"USD","value_usd":3040},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.78296118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"486","issue":null,"first_page":"117702","last_page":"117702"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.42660000920295715,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.42660000920295715,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.24709999561309814,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.06679999828338623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5486999750137329},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.36880001425743103},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.36480000615119934},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.3276999890804291},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.29910001158714294},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.2903999984264374}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8403000235557556},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5486999750137329},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49570000171661377},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38580000400543213},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.36880001425743103},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.36480000615119934},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.3276999890804291},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.2903999984264374},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2606000006198883},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2599000036716461}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2026.117702","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117702","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3271813730","display_name":null,"funder_award_id":"RS-2025-25415913","funder_id":"https://openalex.org/F4320321408","funder_display_name":"Ministry of Education"},{"id":"https://openalex.org/G4243155998","display_name":null,"funder_award_id":"2022R1A2C1003844","funder_id":"https://openalex.org/F4320328359","funder_display_name":"Ministry of Science and ICT, South Korea"},{"id":"https://openalex.org/G8862329402","display_name":null,"funder_award_id":"RS-2026-25469327","funder_id":"https://openalex.org/F4320321408","funder_display_name":"Ministry of Education"}],"funders":[{"id":"https://openalex.org/F4320321408","display_name":"Ministry of Education","ror":"https://ror.org/01p262204"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W2066880755","https://openalex.org/W2120398992","https://openalex.org/W2135073078","https://openalex.org/W2163787581","https://openalex.org/W2766149883","https://openalex.org/W2896010443","https://openalex.org/W2953028985","https://openalex.org/W2963329337","https://openalex.org/W2964580220","https://openalex.org/W3000992358","https://openalex.org/W3007637113","https://openalex.org/W3099412470","https://openalex.org/W3133254329","https://openalex.org/W3144135042","https://openalex.org/W3156492492","https://openalex.org/W3202985951","https://openalex.org/W4200354575","https://openalex.org/W4207073249","https://openalex.org/W4213020595","https://openalex.org/W4294653772","https://openalex.org/W4296546788","https://openalex.org/W4323567152","https://openalex.org/W4362456324","https://openalex.org/W4362519987","https://openalex.org/W4367837584","https://openalex.org/W4367841088","https://openalex.org/W4381436126","https://openalex.org/W4386192577","https://openalex.org/W4390414642","https://openalex.org/W4390540575","https://openalex.org/W4392643713","https://openalex.org/W4396608939","https://openalex.org/W4396652924","https://openalex.org/W4399430612","https://openalex.org/W4399565534","https://openalex.org/W4400237568","https://openalex.org/W4405844227","https://openalex.org/W4405985668","https://openalex.org/W4406517202","https://openalex.org/W4411202143","https://openalex.org/W4411609960","https://openalex.org/W4411730394","https://openalex.org/W4412004257","https://openalex.org/W4414512394","https://openalex.org/W4415299902","https://openalex.org/W4417450603"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2026-04-13T00:00:00"}