{"id":"https://openalex.org/W4396216209","doi":"https://doi.org/10.1515/cmam-2024-0004","title":"A Novel Fully Decoupled Scheme for the MHD System with Variable Density","display_name":"A Novel Fully Decoupled Scheme for the MHD System with Variable Density","publication_year":2024,"publication_date":"2024-04-29","ids":{"openalex":"https://openalex.org/W4396216209","doi":"https://doi.org/10.1515/cmam-2024-0004"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2024-0004","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2024-0004","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in 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/A5103260542","display_name":"Zhaowei Wang","orcid":"https://orcid.org/0009-0006-6793-8492"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhaowei Wang","raw_affiliation_strings":["School of Mathematics , 47846 Taiyuan University of Technology , Taiyuan 030024, Shanxi , P. R. China"],"raw_orcid":"https://orcid.org/0009-0006-6793-8492","affiliations":[{"raw_affiliation_string":"School of Mathematics , 47846 Taiyuan University of Technology , Taiyuan 030024, Shanxi , P. R. China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082426729","display_name":"Danxia Wang","orcid":"https://orcid.org/0000-0002-1708-5886"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Danxia Wang","raw_affiliation_strings":["School of Mathematics , 47846 Taiyuan University of Technology , Taiyuan 030024, Shanxi , P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , 47846 Taiyuan University of Technology , Taiyuan 030024, Shanxi , P. R. China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102941557","display_name":"Hongen Jia","orcid":"https://orcid.org/0000-0002-4701-4608"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongen Jia","raw_affiliation_strings":["School of Mathematics , 47846 Taiyuan University of Technology , Taiyuan 030024, Shanxi , P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , 47846 Taiyuan University of Technology , Taiyuan 030024, Shanxi , P. R. China","institution_ids":["https://openalex.org/I9086337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103260542"],"corresponding_institution_ids":["https://openalex.org/I9086337"],"apc_list":null,"apc_paid":null,"fwci":2.1497,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8518248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"25","issue":"1","first_page":"215","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991999864578247,"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/discretization","display_name":"Discretization","score":0.8242303729057312},{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.8223103284835815},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6422819495201111},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6219172477722168},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6083477735519409},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5722284317016602},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.5433654189109802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5161829590797424},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4969225227832794},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44993945956230164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3692009150981903},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23746490478515625},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15881270170211792},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08754193782806396},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.06519186496734619}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8242303729057312},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.8223103284835815},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6422819495201111},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6219172477722168},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6083477735519409},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5722284317016602},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.5433654189109802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5161829590797424},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4969225227832794},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44993945956230164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3692009150981903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23746490478515625},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15881270170211792},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08754193782806396},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.06519186496734619},{"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/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2024-0004","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2024-0004","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1040216278","display_name":null,"funder_award_id":"2021-029","funder_id":"https://openalex.org/F4320321884","funder_display_name":"Shanxi Scholarship Council of China"},{"id":"https://openalex.org/G215157955","display_name":null,"funder_award_id":"202104041101019","funder_id":"https://openalex.org/F4320329890","funder_display_name":"International Science and Technology Cooperation Program of Shanxi Province"},{"id":"https://openalex.org/G6221831241","display_name":null,"funder_award_id":"202203021211129","funder_id":"https://openalex.org/F4320330404","funder_display_name":"Applied Basic Research Project of Shanxi Province, China"}],"funders":[{"id":"https://openalex.org/F4320321884","display_name":"Shanxi Scholarship Council of China","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320329890","display_name":"International Science and Technology Cooperation Program of Shanxi Province","ror":null},{"id":"https://openalex.org/F4320330404","display_name":"Applied Basic Research Project of Shanxi Province, China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W638755902","https://openalex.org/W1546677529","https://openalex.org/W1966483208","https://openalex.org/W1988754720","https://openalex.org/W1988911839","https://openalex.org/W1990698401","https://openalex.org/W2012019285","https://openalex.org/W2026060533","https://openalex.org/W2045478774","https://openalex.org/W2047397639","https://openalex.org/W2047859546","https://openalex.org/W2076077791","https://openalex.org/W2086890357","https://openalex.org/W2105416545","https://openalex.org/W2109558189","https://openalex.org/W2112651507","https://openalex.org/W2129235968","https://openalex.org/W2154153079","https://openalex.org/W2324934537","https://openalex.org/W2497754766","https://openalex.org/W2522294189","https://openalex.org/W2766149883","https://openalex.org/W2782682842","https://openalex.org/W2949368409","https://openalex.org/W2955590393","https://openalex.org/W2966020116","https://openalex.org/W3010313197","https://openalex.org/W3152071472","https://openalex.org/W3153229067","https://openalex.org/W4200418614","https://openalex.org/W4210480413","https://openalex.org/W4226437195","https://openalex.org/W4307260081","https://openalex.org/W4386223576"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2793786119","https://openalex.org/W1507702947","https://openalex.org/W2481015017"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,45,52,63,75],"first":[5],"establish":[6],"a":[7,65],"novel":[8],"first-order,":[9],"fully":[10],"decoupled,":[11],"unconditionally":[12],"stable":[13],"time":[14],"discretization":[15],"scheme":[16,25,58],"for":[17],"the":[18,29,34,38,54,70,82,85],"MHD":[19],"system":[20],"with":[21],"variable":[22,41],"density.":[23],"This":[24],"successfully":[26],"decouples":[27],"all":[28],"coupling":[30],"terms":[31],"by":[32],"combining":[33],"gauge-Uzawa":[35],"method":[36],"and":[37,59],"scalar":[39],"auxiliary":[40],"(SAV)":[42],"method.":[43],"And":[44],"prove":[46],"its":[47,60],"unconditional":[48],"energy":[49],"stability.":[50],"Then":[51],"give":[53],"first-order":[55],"finite":[56],"element":[57],"implementation.":[61],"Furthermore,":[62],"perform":[64,76],"rigorous":[66],"error":[67],"analysis":[68],"of":[69,84],"proposed":[71],"numerical":[72,78],"scheme.":[73,87],"Finally,":[74],"some":[77],"experiments":[79],"to":[80],"demonstrate":[81],"effectiveness":[83],"decoupling":[86]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}
