{"id":"https://openalex.org/W4407867146","doi":"https://doi.org/10.1016/j.cam.2025.116580","title":"Error estimates of semi-implicit numerical scheme for a diffuse interface model of two-phase magnetohydrodynamic flows","display_name":"Error estimates of semi-implicit numerical scheme for a diffuse interface model of two-phase magnetohydrodynamic flows","publication_year":2025,"publication_date":"2025-02-23","ids":{"openalex":"https://openalex.org/W4407867146","doi":"https://doi.org/10.1016/j.cam.2025.116580"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2025.116580","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2025.116580","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":null,"display_name":"Dongmei Duan","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongmei Duan","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan 250100, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan 250100, PR China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052622370","display_name":"Fuzheng Gao","orcid":"https://orcid.org/0000-0002-3982-2381"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fuzheng Gao","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan 250100, PR China"],"raw_orcid":"https://orcid.org/0000-0002-3982-2381","affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan 250100, PR China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115592966","display_name":"Jinjin Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I192868223","display_name":"Zhengzhou University of Aeronautics","ror":"https://ror.org/01qjyzh50","country_code":"CN","type":"education","lineage":["https://openalex.org/I192868223"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinjin Yang","raw_affiliation_strings":["School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, PR China","institution_ids":["https://openalex.org/I192868223"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041708794","display_name":"Xiaoming He","orcid":"https://orcid.org/0000-0003-1270-4972"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoming He","raw_affiliation_strings":["Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, United States","institution_ids":["https://openalex.org/I20382870"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052622370"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":{"value":3250,"currency":"USD","value_usd":3250},"apc_paid":null,"fwci":3.9274,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.92785909,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"465","issue":null,"first_page":"116580","last_page":"116580"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13785","display_name":"Aquatic and Environmental Studies","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13785","display_name":"Aquatic and Environmental Studies","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9933000206947327,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9911999702453613,"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":0.8178426027297974},{"id":"https://openalex.org/keywords/magnetohydrodynamic-drive","display_name":"Magnetohydrodynamic drive","score":0.7618791460990906},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5500249266624451},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5091890692710876},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5038132071495056},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.49030831456184387},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4582992196083069},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39445561170578003},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.3256862163543701},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.27495628595352173},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.12824180722236633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07908910512924194}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8178426027297974},{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.7618791460990906},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5500249266624451},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5091890692710876},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5038132071495056},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.49030831456184387},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4582992196083069},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39445561170578003},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.3256862163543701},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.27495628595352173},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.12824180722236633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07908910512924194},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"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:10.1016/j.cam.2025.116580","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2025.116580","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/G1054713308","display_name":null,"funder_award_id":"12131014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6371448432","display_name":"\u975e\u7ebf\u6027\u5bf9\u6d41\u6269\u6563\u95ee\u9898\u7684\u5f31Galerkin\u6709\u9650\u5143\u65b9\u6cd5\u7814\u7a76","funder_award_id":"11871038","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W574013783","https://openalex.org/W638755902","https://openalex.org/W1674659126","https://openalex.org/W1679957534","https://openalex.org/W1969372097","https://openalex.org/W1989162361","https://openalex.org/W2003173073","https://openalex.org/W2031651409","https://openalex.org/W2045478774","https://openalex.org/W2080928083","https://openalex.org/W2109114364","https://openalex.org/W2115054274","https://openalex.org/W2121344918","https://openalex.org/W2124302952","https://openalex.org/W2128204029","https://openalex.org/W2142472174","https://openalex.org/W2239239537","https://openalex.org/W2272098399","https://openalex.org/W2329219199","https://openalex.org/W2520861698","https://openalex.org/W2526298107","https://openalex.org/W2766149883","https://openalex.org/W2779170899","https://openalex.org/W2782353604","https://openalex.org/W2891023908","https://openalex.org/W2896200820","https://openalex.org/W2903512933","https://openalex.org/W2908285955","https://openalex.org/W2917228799","https://openalex.org/W2963416159","https://openalex.org/W2963594297","https://openalex.org/W2963689320","https://openalex.org/W2966020116","https://openalex.org/W2968538350","https://openalex.org/W2970105038","https://openalex.org/W2992565422","https://openalex.org/W3002206465","https://openalex.org/W3013444995","https://openalex.org/W3016974427","https://openalex.org/W3034111539","https://openalex.org/W3095395758","https://openalex.org/W3099803462","https://openalex.org/W3139104647","https://openalex.org/W3152492915","https://openalex.org/W3204708751","https://openalex.org/W3206494080","https://openalex.org/W3215846254","https://openalex.org/W4200563932","https://openalex.org/W4205705887","https://openalex.org/W4224050058","https://openalex.org/W4242273588","https://openalex.org/W4280592384","https://openalex.org/W4310383682","https://openalex.org/W4321613695","https://openalex.org/W4377088181","https://openalex.org/W4386989138","https://openalex.org/W4399982986","https://openalex.org/W6838294525","https://openalex.org/W6869565353","https://openalex.org/W6983813054"],"related_works":["https://openalex.org/W2386528229","https://openalex.org/W2049123749","https://openalex.org/W1482473826","https://openalex.org/W2072075229","https://openalex.org/W2028882311","https://openalex.org/W1973727899","https://openalex.org/W2096223544","https://openalex.org/W2031269569","https://openalex.org/W2914179537","https://openalex.org/W2771870683"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
