{"id":"https://openalex.org/W3157436598","doi":"https://doi.org/10.1007/s10915-021-01508-w","title":"An Energy Stable Finite Element Scheme for the Three-Component Cahn\u2013Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels","display_name":"An Energy Stable Finite Element Scheme for the Three-Component Cahn\u2013Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels","publication_year":2021,"publication_date":"2021-04-28","ids":{"openalex":"https://openalex.org/W3157436598","doi":"https://doi.org/10.1007/s10915-021-01508-w","mag":"3157436598"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01508-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01508-w","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5006512339","display_name":"Maoqin Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maoqin Yuan","raw_affiliation_strings":["School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100693236","display_name":"Wenbin Chen","orcid":"https://orcid.org/0000-0001-8305-0764"},"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":true,"raw_author_name":"Wenbin Chen","raw_affiliation_strings":["Shanghai Key Laboratory of Mathematics for Nonlinear Sciences, School of Mathematical Sciences, Fudan University, Shanghai, 200433, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Mathematics for Nonlinear Sciences, School of Mathematical Sciences, Fudan University, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100417045","display_name":"Cheng Wang","orcid":"https://orcid.org/0000-0003-4220-8080"},"institutions":[{"id":"https://openalex.org/I100633361","display_name":"University of Massachusetts Dartmouth","ror":"https://ror.org/00fzmm222","country_code":"US","type":"education","lineage":["https://openalex.org/I100633361"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cheng Wang","raw_affiliation_strings":["Department of Mathematics, The University of Massachusetts, North Dartmouth, MA, 02747, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Massachusetts, North Dartmouth, MA, 02747, USA","institution_ids":["https://openalex.org/I100633361"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028411348","display_name":"Steven M. Wise","orcid":"https://orcid.org/0000-0003-3824-2075"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven M. Wise","raw_affiliation_strings":["Department of Mathematics, The University of Tennessee, Knoxville, TN, 37996, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Tennessee, Knoxville, TN, 37996, USA","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110369362","display_name":"Zhengru Zhang","orcid":"https://orcid.org/0000-0001-6753-0653"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengru Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Beijing Normal University and Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, People\u2019s Republic of China","School of Mathematical Sciences, Beijing Normal University and Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beijing Normal University and Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"School of Mathematical Sciences, Beijing Normal University and Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, People's Republic of China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100693236"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8809,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.91673875,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"87","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9951000213623047,"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/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9951000213623047,"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/T11486","display_name":"Micro and Nano Robotics","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.989300012588501,"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/mathematics","display_name":"Mathematics","score":0.7039733529090881},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6973728537559509},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.6864053606987},{"id":"https://openalex.org/keywords/energy-functional","display_name":"Energy functional","score":0.5272485613822937},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47673499584198},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43223726749420166},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4258062243461609},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41696590185165405},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.4138125479221344},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.18409886956214905},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08453494310379028},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08412447571754456}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7039733529090881},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6973728537559509},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.6864053606987},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.5272485613822937},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47673499584198},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43223726749420166},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4258062243461609},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41696590185165405},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.4138125479221344},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.18409886956214905},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08453494310379028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08412447571754456},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-021-01508-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01508-w","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8799999952316284,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1238167954","display_name":null,"funder_award_id":"11871105","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3268513699","display_name":null,"funder_award_id":"12071090","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4410185213","display_name":null,"funder_award_id":"DMS-2012669","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5592681154","display_name":null,"funder_award_id":"DMS-2012634","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6781766723","display_name":null,"funder_award_id":"NSF-DMS 1719854","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7301759538","display_name":null,"funder_award_id":"B08018","funder_id":"https://openalex.org/F4320336033","funder_display_name":"Overseas Expertise Introduction Project for Discipline Innovation"},{"id":"https://openalex.org/G8245533493","display_name":null,"funder_award_id":"TZ2018002","funder_id":"https://openalex.org/F4320336025","funder_display_name":"Science Challenge Project"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336025","display_name":"Science Challenge Project","ror":null},{"id":"https://openalex.org/F4320336033","display_name":"Overseas Expertise Introduction Project for Discipline Innovation","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W1934978296","https://openalex.org/W1973233997","https://openalex.org/W1983714008","https://openalex.org/W1983799282","https://openalex.org/W1990347007","https://openalex.org/W1991547299","https://openalex.org/W2007951426","https://openalex.org/W2008209583","https://openalex.org/W2014949681","https://openalex.org/W2029449803","https://openalex.org/W2030350543","https://openalex.org/W2031651409","https://openalex.org/W2031734874","https://openalex.org/W2046497608","https://openalex.org/W2046719242","https://openalex.org/W2048343906","https://openalex.org/W2058974961","https://openalex.org/W2077001143","https://openalex.org/W2082621526","https://openalex.org/W2083629653","https://openalex.org/W2084610464","https://openalex.org/W2093592731","https://openalex.org/W2099053151","https://openalex.org/W2103674414","https://openalex.org/W2109834126","https://openalex.org/W2121181367","https://openalex.org/W2128697589","https://openalex.org/W2150427120","https://openalex.org/W2157853951","https://openalex.org/W2167347425","https://openalex.org/W2167886272","https://openalex.org/W2285496323","https://openalex.org/W2328649268","https://openalex.org/W2380741020","https://openalex.org/W2500585602","https://openalex.org/W2521393946","https://openalex.org/W2526298107","https://openalex.org/W2574189373","https://openalex.org/W2626341890","https://openalex.org/W2789891565","https://openalex.org/W2909584443","https://openalex.org/W2911397867","https://openalex.org/W2911401788","https://openalex.org/W2962689056","https://openalex.org/W2962738836","https://openalex.org/W2963167146","https://openalex.org/W2963236482","https://openalex.org/W2963333235","https://openalex.org/W2981771356","https://openalex.org/W3008014436","https://openalex.org/W3015453200","https://openalex.org/W3043436490","https://openalex.org/W3098765149","https://openalex.org/W3108601774","https://openalex.org/W3133356548","https://openalex.org/W3135358591","https://openalex.org/W3141939412","https://openalex.org/W3157057017"],"related_works":["https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W1843467136","https://openalex.org/W4311867011","https://openalex.org/W2770343404","https://openalex.org/W57680709","https://openalex.org/W2083629653","https://openalex.org/W2963421479","https://openalex.org/W2989936686","https://openalex.org/W2285496323"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":6}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
