{"id":"https://openalex.org/W4403118156","doi":"https://doi.org/10.1016/j.jcp.2024.113478","title":"A learning based numerical method for Helmholtz equations with high frequency","display_name":"A learning based numerical method for Helmholtz equations with high frequency","publication_year":2024,"publication_date":"2024-10-05","ids":{"openalex":"https://openalex.org/W4403118156","doi":"https://doi.org/10.1016/j.jcp.2024.113478"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2024.113478","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1016/j.jcp.2024.113478","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"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 Physics","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/A5101471404","display_name":"Yu Chen","orcid":"https://orcid.org/0009-0007-8863-003X"},"institutions":[{"id":"https://openalex.org/I181679659","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I181679659"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Chen","raw_affiliation_strings":["School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, China","institution_ids":["https://openalex.org/I181679659"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jin Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I181679659","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I181679659"]},{"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":false,"raw_author_name":"Jin Cheng","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, 200433, China","School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, China","institution_ids":["https://openalex.org/I181679659"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114685548","display_name":"Tingyue Li","orcid":null},"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":false,"raw_author_name":"Tingyue Li","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, 200433, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, 200433, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047446464","display_name":"Yun Miao","orcid":"https://orcid.org/0000-0002-8612-3153"},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun Miao","raw_affiliation_strings":["Theory Lab, Central Research Institute 2012 Labs, Huawei Technologies Co. Ltd., Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Theory Lab, Central Research Institute 2012 Labs, Huawei Technologies Co. Ltd., Shanghai, China","institution_ids":["https://openalex.org/I2250955327"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101471404"],"corresponding_institution_ids":["https://openalex.org/I181679659"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":1.7262,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.83216216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"520","issue":null,"first_page":"113478","last_page":"113478"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.690853476524353},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44339048862457275},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4311404228210449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4154170751571655},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4136103689670563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3892286419868469},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.16867327690124512}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.690853476524353},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44339048862457275},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4311404228210449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4154170751571655},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4136103689670563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3892286419868469},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.16867327690124512}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jcp.2024.113478","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1016/j.jcp.2024.113478","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"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 Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1977035465","https://openalex.org/W1977163756","https://openalex.org/W1993876500","https://openalex.org/W2020814302","https://openalex.org/W2035681687","https://openalex.org/W2062486712","https://openalex.org/W2067354736","https://openalex.org/W2101478350","https://openalex.org/W2182253600","https://openalex.org/W2190478675","https://openalex.org/W2319860521","https://openalex.org/W2743744173","https://openalex.org/W2788891133","https://openalex.org/W2913519894","https://openalex.org/W2962689792","https://openalex.org/W3088798054","https://openalex.org/W3093905087","https://openalex.org/W3103998988","https://openalex.org/W3169305979","https://openalex.org/W3182352773","https://openalex.org/W3183497254","https://openalex.org/W4210513751","https://openalex.org/W4224241366","https://openalex.org/W4389154915","https://openalex.org/W4392672971","https://openalex.org/W6796421838"],"related_works":["https://openalex.org/W2054094817","https://openalex.org/W3210029216","https://openalex.org/W2887898300","https://openalex.org/W1965538060","https://openalex.org/W2170150962","https://openalex.org/W4400624219","https://openalex.org/W2044042856","https://openalex.org/W3198981003","https://openalex.org/W2115290354","https://openalex.org/W2517723413"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
