{"id":"https://openalex.org/W4311976891","doi":"https://doi.org/10.1007/s10915-022-02074-5","title":"Adaptive FEM for Helmholtz Equation with Large Wavenumber","display_name":"Adaptive FEM for Helmholtz Equation with Large Wavenumber","publication_year":2022,"publication_date":"2022-12-20","ids":{"openalex":"https://openalex.org/W4311976891","doi":"https://doi.org/10.1007/s10915-022-02074-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-022-02074-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-02074-5","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5036556597","display_name":"Songyao Duan","orcid":null},"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":"Songyao Duan","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Jiangsu, 210093, People\u2019s Republic of China","Department of Mathematics, Nanjing University, Jiangsu, 210093, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Jiangsu, 210093, People\u2019s Republic of China","institution_ids":["https://openalex.org/I881766915"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Jiangsu, 210093, People's Republic of China","institution_ids":["https://openalex.org/I881766915"]}]},{"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":true,"raw_author_name":"Haijun Wu","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Jiangsu, 210093, People\u2019s Republic of China","Department of Mathematics, Nanjing University, Jiangsu, 210093, People's 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"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Jiangsu, 210093, People's Republic of China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034214957"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.1661,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.44752955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"94","issue":"1","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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8439592719078064},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7524054050445557},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.6956793665885925},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6897131204605103},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5585781335830688},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.5536238551139832},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5037257075309753},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48759713768959045},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.4791390597820282},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45908915996551514},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.42746323347091675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20947331190109253},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10281255841255188},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09464326500892639},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.09358501434326172}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8439592719078064},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7524054050445557},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.6956793665885925},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6897131204605103},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5585781335830688},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.5536238551139832},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5037257075309753},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48759713768959045},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.4791390597820282},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45908915996551514},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.42746323347091675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20947331190109253},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10281255841255188},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09464326500892639},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.09358501434326172},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-022-02074-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-02074-5","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"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/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":44,"referenced_works":["https://openalex.org/W1504642953","https://openalex.org/W1586623601","https://openalex.org/W1833891341","https://openalex.org/W1970622200","https://openalex.org/W1976538983","https://openalex.org/W1978549505","https://openalex.org/W1983072269","https://openalex.org/W1989594010","https://openalex.org/W1995479616","https://openalex.org/W2001019613","https://openalex.org/W2003017040","https://openalex.org/W2003803951","https://openalex.org/W2004475615","https://openalex.org/W2009985306","https://openalex.org/W2013150797","https://openalex.org/W2019681354","https://openalex.org/W2029342920","https://openalex.org/W2029966922","https://openalex.org/W2030591225","https://openalex.org/W2031027147","https://openalex.org/W2032941427","https://openalex.org/W2033698269","https://openalex.org/W2039924562","https://openalex.org/W2044959876","https://openalex.org/W2072811159","https://openalex.org/W2072912212","https://openalex.org/W2080212747","https://openalex.org/W2087828859","https://openalex.org/W2107813568","https://openalex.org/W2119556806","https://openalex.org/W2124214067","https://openalex.org/W2150789707","https://openalex.org/W2472641985","https://openalex.org/W2505585705","https://openalex.org/W2592456637","https://openalex.org/W2902526927","https://openalex.org/W2909834897","https://openalex.org/W2963663139","https://openalex.org/W2964258540","https://openalex.org/W2964374283","https://openalex.org/W3041134036","https://openalex.org/W3157804329","https://openalex.org/W3204708751","https://openalex.org/W4210300254"],"related_works":["https://openalex.org/W3148450583","https://openalex.org/W2001088508","https://openalex.org/W1977973012","https://openalex.org/W3194338175","https://openalex.org/W1996140937","https://openalex.org/W4365420316","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3120022531","https://openalex.org/W2593412144"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}