{"id":"https://openalex.org/W4286817097","doi":"https://doi.org/10.1007/s40314-022-01963-7","title":"A broken reproducing kernel method for the multiple interface problems","display_name":"A broken reproducing kernel method for the multiple interface problems","publication_year":2022,"publication_date":"2022-07-24","ids":{"openalex":"https://openalex.org/W4286817097","doi":"https://doi.org/10.1007/s40314-022-01963-7"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-01963-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01963-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"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/A5102764579","display_name":"Yikang Yu","orcid":"https://orcid.org/0000-0002-6101-2393"},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yikang Yu","raw_affiliation_strings":["Harbin Normal University, Harbin Normal University, Harbin, 150025, Heilongjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Normal University, Harbin Normal University, Harbin, 150025, Heilongjiang, China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101055685","display_name":"Xuemin Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuemin Yang","raw_affiliation_strings":["Harbin Normal University, Harbin Normal University, Harbin, 150025, Heilongjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Normal University, Harbin Normal University, Harbin, 150025, Heilongjiang, China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014290621","display_name":"Yuanquan Cui","orcid":"https://orcid.org/0000-0003-3127-1025"},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuanquan Cui","raw_affiliation_strings":["Harbin Normal University, Harbin Normal University, Harbin, 150025, Heilongjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Normal University, Harbin Normal University, Harbin, 150025, Heilongjiang, China","institution_ids":["https://openalex.org/I134052481"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101847961","display_name":"Jing Niu","orcid":null},"institutions":[{"id":"https://openalex.org/I134052481","display_name":"Harbin Normal University","ror":"https://ror.org/0270y6950","country_code":"CN","type":"education","lineage":["https://openalex.org/I134052481"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing Niu","raw_affiliation_strings":["Harbin Normal University, Harbin Normal University, Harbin, 150025, Heilongjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Normal University, Harbin Normal University, Harbin, 150025, Heilongjiang, China","institution_ids":["https://openalex.org/I134052481"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014290621","https://openalex.org/A5101847961"],"corresponding_institution_ids":["https://openalex.org/I134052481"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06857901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"6","first_page":null,"last_page":null},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.8102453947067261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6125190258026123},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5575646758079529},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5503255724906921},{"id":"https://openalex.org/keywords/representer-theorem","display_name":"Representer theorem","score":0.5389609336853027},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5111332535743713},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5002541542053223},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.489327609539032},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4746280908584595},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.47450751066207886},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4742499887943268},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.4213358163833618},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4179123640060425},{"id":"https://openalex.org/keywords/variable-kernel-density-estimation","display_name":"Variable kernel density estimation","score":0.41145262122154236},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.3718990683555603},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34440577030181885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3144683539867401},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2519164979457855},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13641032576560974},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.13410353660583496},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10858753323554993},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0956379771232605}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.8102453947067261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6125190258026123},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5575646758079529},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5503255724906921},{"id":"https://openalex.org/C172623408","wikidata":"https://www.wikidata.org/wiki/Q7314263","display_name":"Representer theorem","level":5,"score":0.5389609336853027},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5111332535743713},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5002541542053223},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.489327609539032},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4746280908584595},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.47450751066207886},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4742499887943268},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.4213358163833618},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4179123640060425},{"id":"https://openalex.org/C195699287","wikidata":"https://www.wikidata.org/wiki/Q7915722","display_name":"Variable kernel density estimation","level":4,"score":0.41145262122154236},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.3718990683555603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34440577030181885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3144683539867401},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2519164979457855},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13641032576560974},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.13410353660583496},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10858753323554993},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0956379771232605},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-01963-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01963-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7184894382","display_name":null,"funder_award_id":"12101164","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1565176583","https://openalex.org/W1985467574","https://openalex.org/W1992356485","https://openalex.org/W2016896593","https://openalex.org/W2070135540","https://openalex.org/W2070778323","https://openalex.org/W2079089564","https://openalex.org/W2095006601","https://openalex.org/W2097060633","https://openalex.org/W2115423556","https://openalex.org/W2119611099","https://openalex.org/W2141613219","https://openalex.org/W2157721313","https://openalex.org/W2168042684","https://openalex.org/W2168694898","https://openalex.org/W2265372622","https://openalex.org/W2520200476","https://openalex.org/W2763937698","https://openalex.org/W2772947361","https://openalex.org/W2794500091","https://openalex.org/W2800080818","https://openalex.org/W2985489239","https://openalex.org/W3036662829","https://openalex.org/W3082680091","https://openalex.org/W3106481458","https://openalex.org/W3112182983","https://openalex.org/W3120841798","https://openalex.org/W3163090189","https://openalex.org/W3185256106","https://openalex.org/W3208246084","https://openalex.org/W3208651773","https://openalex.org/W4246920291"],"related_works":["https://openalex.org/W2127229869","https://openalex.org/W2535206775","https://openalex.org/W4247446331","https://openalex.org/W1836142315","https://openalex.org/W4294351650","https://openalex.org/W2122925131","https://openalex.org/W2112478984","https://openalex.org/W2548922623","https://openalex.org/W4293675095","https://openalex.org/W2797522186"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-26T05:49:09.470579","created_date":"2025-10-10T00:00:00"}