{"id":"https://openalex.org/W4399589174","doi":"https://doi.org/10.1137/23m1562639","title":"The (\\(\\boldsymbol{p}\\), \\(\\boldsymbol{p}\\,\\unicode{x2013}\\,\\boldsymbol{1}\\))-HDG Method for the Helmholtz Equation with Large Wave Number","display_name":"The (\\(\\boldsymbol{p}\\), \\(\\boldsymbol{p}\\,\\unicode{x2013}\\,\\boldsymbol{1}\\))-HDG Method for the Helmholtz Equation with Large Wave Number","publication_year":2024,"publication_date":"2024-06-12","ids":{"openalex":"https://openalex.org/W4399589174","doi":"https://doi.org/10.1137/23m1562639"},"language":"en","primary_location":{"id":"doi:10.1137/23m1562639","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1562639","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5003238627","display_name":"Bingxin Zhu","orcid":"https://orcid.org/0000-0001-7086-5980"},"institutions":[{"id":"https://openalex.org/I134687103","display_name":"Nanjing Tech University","ror":"https://ror.org/03sd35x91","country_code":"CN","type":"education","lineage":["https://openalex.org/I134687103"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bingxin Zhu","raw_affiliation_strings":["Department of Mathematics, Nanjing Tech University, Jiangsu 211816 People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-7086-5980","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing Tech University, Jiangsu 211816 People\u2019s Republic of China","institution_ids":["https://openalex.org/I134687103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034214957","display_name":"Haijun Wu","orcid":"https://orcid.org/0000-0003-1787-5973"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haijun Wu","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Jiangsu 210093 People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-1787-5973","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Jiangsu 210093 People\u2019s Republic of China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003238627"],"corresponding_institution_ids":["https://openalex.org/I134687103"],"apc_list":null,"apc_paid":null,"fwci":1.0748,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71667128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"62","issue":"3","first_page":"1394","last_page":"1419"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7400129437446594},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.6188652515411377},{"id":"https://openalex.org/keywords/unicode","display_name":"Unicode","score":0.5527116060256958},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.45983996987342834},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42140302062034607},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4083286225795746},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39059117436408997}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7400129437446594},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.6188652515411377},{"id":"https://openalex.org/C500551929","wikidata":"https://www.wikidata.org/wiki/Q8819","display_name":"Unicode","level":2,"score":0.5527116060256958},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.45983996987342834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42140302062034607},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4083286225795746},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39059117436408997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1562639","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1562639","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1598110075","display_name":null,"funder_award_id":"12171238","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5017780471","display_name":null,"funder_award_id":"12261160361","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8636918233","display_name":null,"funder_award_id":"11525103","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":45,"referenced_works":["https://openalex.org/W1504642953","https://openalex.org/W1585098889","https://openalex.org/W1967469744","https://openalex.org/W1970622200","https://openalex.org/W1976538983","https://openalex.org/W1986479605","https://openalex.org/W1993443533","https://openalex.org/W1998894128","https://openalex.org/W2001019613","https://openalex.org/W2003803951","https://openalex.org/W2003894508","https://openalex.org/W2004475615","https://openalex.org/W2017389653","https://openalex.org/W2021615646","https://openalex.org/W2029342920","https://openalex.org/W2029966922","https://openalex.org/W2030085198","https://openalex.org/W2030321128","https://openalex.org/W2031027147","https://openalex.org/W2035238652","https://openalex.org/W2037092148","https://openalex.org/W2047719014","https://openalex.org/W2053149981","https://openalex.org/W2064309072","https://openalex.org/W2071928229","https://openalex.org/W2077458918","https://openalex.org/W2080631773","https://openalex.org/W2087828859","https://openalex.org/W2089307239","https://openalex.org/W2091078702","https://openalex.org/W2106567676","https://openalex.org/W2156154693","https://openalex.org/W2165091991","https://openalex.org/W2169501376","https://openalex.org/W2279795488","https://openalex.org/W2317199599","https://openalex.org/W2592456637","https://openalex.org/W3035858788","https://openalex.org/W3043435143","https://openalex.org/W3046457476","https://openalex.org/W3155493545","https://openalex.org/W3204708751","https://openalex.org/W4205634890","https://openalex.org/W4297688726","https://openalex.org/W4378837387"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1953677193","https://openalex.org/W3113362864","https://openalex.org/W2404000518","https://openalex.org/W589182691","https://openalex.org/W2122095750","https://openalex.org/W2045397465","https://openalex.org/W2010309086","https://openalex.org/W3216698492","https://openalex.org/W2953092006"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}