{"id":"https://openalex.org/W2803764062","doi":"https://doi.org/10.1016/j.cam.2018.05.024","title":"Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers","display_name":"Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers","publication_year":2018,"publication_date":"2018-05-24","ids":{"openalex":"https://openalex.org/W2803764062","doi":"https://doi.org/10.1016/j.cam.2018.05.024","mag":"2803764062"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2018.05.024","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2018.05.024","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0377042718302954/pdf","source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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 and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0377042718302954/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101595713","display_name":"Long Yuan","orcid":"https://orcid.org/0009-0003-2169-9228"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Long Yuan","raw_affiliation_strings":["College of Mathematics and Systems Science, Shandong University of Science and Technology, 579 QIAN WAN GANG ROAD, Qingdao 266590, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Science, Shandong University of Science and Technology, 579 QIAN WAN GANG ROAD, Qingdao 266590, China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034570816","display_name":"Qiya Hu","orcid":"https://orcid.org/0000-0003-3179-7115"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiya Hu","raw_affiliation_strings":["LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101595713"],"corresponding_institution_ids":["https://openalex.org/I80143920"],"apc_list":{"value":3250,"currency":"USD","value_usd":3250},"apc_paid":null,"fwci":0.4999,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.6399142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"344","issue":null,"first_page":"323","last_page":"345"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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":0.9997000098228455,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991000294685364,"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":0.8853706121444702},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8303017616271973},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7744170427322388},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.7200598120689392},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6088346242904663},{"id":"https://openalex.org/keywords/plane-wave","display_name":"Plane wave","score":0.49345889687538147},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.481880247592926},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.47392377257347107},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.45250850915908813},{"id":"https://openalex.org/keywords/scattering-matrix-method","display_name":"Scattering-matrix method","score":0.4336389899253845},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4120539128780365},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4100589156150818},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1908920407295227},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15601560473442078},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.07084214687347412},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05847632884979248}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.8853706121444702},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8303017616271973},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7744170427322388},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.7200598120689392},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6088346242904663},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.49345889687538147},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.481880247592926},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.47392377257347107},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.45250850915908813},{"id":"https://openalex.org/C22480482","wikidata":"https://www.wikidata.org/wiki/Q7430620","display_name":"Scattering-matrix method","level":3,"score":0.4336389899253845},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4120539128780365},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4100589156150818},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1908920407295227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15601560473442078},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.07084214687347412},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05847632884979248},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2018.05.024","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2018.05.024","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0377042718302954/pdf","source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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 and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.cam.2018.05.024","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2018.05.024","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0377042718302954/pdf","source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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 and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5739563449","display_name":"\u5bf9\u5e73\u9762\u6ce2\u79bb\u6563\u5316\u65b9\u6cd5\u7684\u8fdb\u4e00\u6b65\u7814\u7a76","funder_award_id":"11571352","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6335677852","display_name":null,"funder_award_id":"11501529","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8794728846","display_name":null,"funder_award_id":"17-1-1-9-jch","funder_id":"https://openalex.org/F4320322522","funder_display_name":"Shandong University of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320311026","display_name":"Shandong University","ror":"https://ror.org/0207yh398"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322522","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2803764062.pdf","grobid_xml":"https://content.openalex.org/works/W2803764062.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W137638080","https://openalex.org/W772485580","https://openalex.org/W1582734821","https://openalex.org/W1967469744","https://openalex.org/W1971522270","https://openalex.org/W1975804825","https://openalex.org/W2010605025","https://openalex.org/W2019072617","https://openalex.org/W2033922045","https://openalex.org/W2051710235","https://openalex.org/W2075828491","https://openalex.org/W2077458918","https://openalex.org/W2127600768","https://openalex.org/W2134894403","https://openalex.org/W2150892223","https://openalex.org/W2165091991","https://openalex.org/W2623900191","https://openalex.org/W2916712557","https://openalex.org/W2917396047","https://openalex.org/W3137854858","https://openalex.org/W4250094495","https://openalex.org/W6605571610","https://openalex.org/W6759448582","https://openalex.org/W6759591304","https://openalex.org/W6791415036"],"related_works":["https://openalex.org/W4365420316","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W2084867621","https://openalex.org/W2117998300","https://openalex.org/W3120022531","https://openalex.org/W1996112457","https://openalex.org/W2593412144","https://openalex.org/W2491734814","https://openalex.org/W2045397465"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}