{"id":"https://openalex.org/W2794326982","doi":"https://doi.org/10.1007/s10915-018-0688-8","title":"A Fully Discrete Fast Fourier\u2013Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation","display_name":"A Fully Discrete Fast Fourier\u2013Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation","publication_year":2018,"publication_date":"2018-03-26","ids":{"openalex":"https://openalex.org/W2794326982","doi":"https://doi.org/10.1007/s10915-018-0688-8","mag":"2794326982"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-018-0688-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0688-8","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/A5101553483","display_name":"Ying Jiang","orcid":"https://orcid.org/0000-0002-6448-103X"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Jiang","raw_affiliation_strings":["Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-8315-6363","affiliations":[{"raw_affiliation_string":"Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100707717","display_name":"Bo Wang","orcid":"https://orcid.org/0000-0002-2566-0481"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Wang","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People\u2019s Republic of China","School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026572582","display_name":"Yuesheng Xu","orcid":"https://orcid.org/0000-0003-3965-3087"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I81365321","display_name":"Old Dominion University","ror":"https://ror.org/04zjtrb98","country_code":"US","type":"education","lineage":["https://openalex.org/I81365321"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Yuesheng Xu","raw_affiliation_strings":["Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, People\u2019s Republic of China","Department of Mathematics, Old Dominion University, Norfolk, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Department of Mathematics, Old Dominion University, Norfolk, USA","institution_ids":["https://openalex.org/I81365321"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026572582"],"corresponding_institution_ids":["https://openalex.org/I157773358","https://openalex.org/I81365321"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3947,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.55866386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"76","issue":"3","first_page":"1594","last_page":"1632"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9977999925613403,"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/biharmonic-equation","display_name":"Biharmonic equation","score":0.8522487282752991},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8391815423965454},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6716341972351074},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6151217222213745},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.5268810391426086},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4967418313026428},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4922157824039459},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.4473598599433899},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.34624746441841125},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.12261417508125305}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.8522487282752991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8391815423965454},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6716341972351074},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6151217222213745},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.5268810391426086},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4967418313026428},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4922157824039459},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.4473598599433899},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.34624746441841125},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.12261417508125305},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-018-0688-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0688-8","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":[],"awards":[{"id":"https://openalex.org/G3279541817","display_name":null,"funder_award_id":"11471013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3560042783","display_name":null,"funder_award_id":"11501087","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4300712876","display_name":null,"funder_award_id":"ZYGX2013J107","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6113057433","display_name":null,"funder_award_id":"61371126","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6419768278","display_name":null,"funder_award_id":"15lgjc17","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W20389081","https://openalex.org/W39337161","https://openalex.org/W134458341","https://openalex.org/W1152352997","https://openalex.org/W1485003658","https://openalex.org/W1594563152","https://openalex.org/W1965502068","https://openalex.org/W1966635129","https://openalex.org/W1969319711","https://openalex.org/W1973376796","https://openalex.org/W1974330775","https://openalex.org/W1978098021","https://openalex.org/W1987658939","https://openalex.org/W1988320400","https://openalex.org/W1990898592","https://openalex.org/W1998341432","https://openalex.org/W1998424577","https://openalex.org/W1999228658","https://openalex.org/W2003764670","https://openalex.org/W2006459591","https://openalex.org/W2006516410","https://openalex.org/W2012359720","https://openalex.org/W2012474721","https://openalex.org/W2013636672","https://openalex.org/W2014208709","https://openalex.org/W2015368696","https://openalex.org/W2025095941","https://openalex.org/W2027590575","https://openalex.org/W2036381687","https://openalex.org/W2039893955","https://openalex.org/W2040270395","https://openalex.org/W2041915715","https://openalex.org/W2054679033","https://openalex.org/W2054874239","https://openalex.org/W2057662512","https://openalex.org/W2059732052","https://openalex.org/W2060819023","https://openalex.org/W2061171222","https://openalex.org/W2065286616","https://openalex.org/W2066681436","https://openalex.org/W2067216123","https://openalex.org/W2068795410","https://openalex.org/W2073390622","https://openalex.org/W2074952708","https://openalex.org/W2075366366","https://openalex.org/W2076221890","https://openalex.org/W2078498319","https://openalex.org/W2082849992","https://openalex.org/W2083191882","https://openalex.org/W2088288520","https://openalex.org/W2094695561","https://openalex.org/W2109936558","https://openalex.org/W2116956432","https://openalex.org/W2129114523","https://openalex.org/W2135297899","https://openalex.org/W2146245558","https://openalex.org/W2163747680","https://openalex.org/W2164248670","https://openalex.org/W2187086372","https://openalex.org/W2403013574","https://openalex.org/W2410898212","https://openalex.org/W4241379990","https://openalex.org/W4246259934","https://openalex.org/W4254630587","https://openalex.org/W4255975175","https://openalex.org/W4292361795"],"related_works":["https://openalex.org/W1963845699","https://openalex.org/W1994364604","https://openalex.org/W2061461757","https://openalex.org/W1667827684","https://openalex.org/W2063886624","https://openalex.org/W2389601816","https://openalex.org/W3191646105","https://openalex.org/W2069733545","https://openalex.org/W2042617956","https://openalex.org/W4281563234"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}