{"id":"https://openalex.org/W2405687382","doi":"https://doi.org/10.1090/mcom/3173","title":"The triangular spectral element method for Stokes eigenvalues","display_name":"The triangular spectral element method for Stokes eigenvalues","publication_year":2016,"publication_date":"2016-05-18","ids":{"openalex":"https://openalex.org/W2405687382","doi":"https://doi.org/10.1090/mcom/3173","mag":"2405687382"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3173","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3173","pdf_url":"https://www.ams.org/mcom/2017-86-308/S0025-5718-2017-03173-2/S0025-5718-2017-03173-2.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2017-86-308/S0025-5718-2017-03173-2/S0025-5718-2017-03173-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068600938","display_name":"Weikun Shan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"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":"Weikun Shan","raw_affiliation_strings":["Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People\u00e2\u0080\u0099s Republic of China \u00e2\u0080\u0093 and \u00e2\u0080\u0093 University of Chinese Academy of Sciences, Beijing 100190, People\u00e2\u0080\u0099s Republic of China","Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People's Republic of China \u2013 and \u2013 University of Chinese Academy of Sciences, Beijing 100190, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People\u00e2\u0080\u0099s Republic of China \u00e2\u0080\u0093 and \u00e2\u0080\u0093 University of Chinese Academy of Sciences, Beijing 100190, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I4210128818"]},{"raw_affiliation_string":"Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People's Republic of China \u2013 and \u2013 University of Chinese Academy of Sciences, Beijing 100190, People's Republic of China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100637657","display_name":"Huiyuan Li","orcid":"https://orcid.org/0000-0002-6326-9926"},"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/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huiyuan Li","raw_affiliation_strings":["State Key Laboratory of Computer Science/Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People\u00e2\u0080\u0099s Republic of China","State Key Laboratory of Computer Science/Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science/Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I4210128818"]},{"raw_affiliation_string":"State Key Laboratory of Computer Science/Laboratory of Parallel Computing, Institute of Software, Chinese Academy of Sciences, Beijing 100190, People's Republic of China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2351,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.77736491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"86","issue":"308","first_page":"2579","last_page":"2611"},"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":0.9995999932289124,"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":0.9995999932289124,"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/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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991999864578247,"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/mathematics","display_name":"Mathematics","score":0.8962653875350952},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6060509085655212},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5918647050857544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5883196592330933},{"id":"https://openalex.org/keywords/spectral-element-method","display_name":"Spectral element method","score":0.5508704781532288},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.539032518863678},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.42903733253479004},{"id":"https://openalex.org/keywords/orthographic-projection","display_name":"Orthographic projection","score":0.42370346188545227},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42301779985427856},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2890435457229614},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.23799145221710205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11173385381698608}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8962653875350952},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6060509085655212},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5918647050857544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5883196592330933},{"id":"https://openalex.org/C38961997","wikidata":"https://www.wikidata.org/wiki/Q7575186","display_name":"Spectral element method","level":4,"score":0.5508704781532288},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.539032518863678},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.42903733253479004},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.42370346188545227},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42301779985427856},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2890435457229614},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.23799145221710205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11173385381698608},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3173","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3173","pdf_url":"https://www.ams.org/mcom/2017-86-308/S0025-5718-2017-03173-2/S0025-5718-2017-03173-2.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/mcom/3173","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3173","pdf_url":"https://www.ams.org/mcom/2017-86-308/S0025-5718-2017-03173-2/S0025-5718-2017-03173-2.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2260925519","display_name":"\u9ad8\u6027\u80fd\u8c31/\u8c31\u5143\u65b9\u6cd5\u7814\u7a76\u53ca\u5176\u5728\u591a\u76f8\u590d\u6742\u6d41\u4f53\u4e2d\u7684\u5e94\u7528","funder_award_id":"11471312","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2746842099","display_name":null,"funder_award_id":"91430216","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3593944070","display_name":null,"funder_award_id":"91130014","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2405687382.pdf","grobid_xml":"https://content.openalex.org/works/W2405687382.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W174447642","https://openalex.org/W1570370571","https://openalex.org/W1585613868","https://openalex.org/W1684878655","https://openalex.org/W1708679080","https://openalex.org/W1805381866","https://openalex.org/W1965473425","https://openalex.org/W1970056665","https://openalex.org/W1971742591","https://openalex.org/W1977078284","https://openalex.org/W1979611159","https://openalex.org/W1991694491","https://openalex.org/W1995477602","https://openalex.org/W2000292231","https://openalex.org/W2000811891","https://openalex.org/W2001711881","https://openalex.org/W2002596607","https://openalex.org/W2013202519","https://openalex.org/W2013434737","https://openalex.org/W2016747676","https://openalex.org/W2020129231","https://openalex.org/W2022877721","https://openalex.org/W2028680761","https://openalex.org/W2033305412","https://openalex.org/W2036854337","https://openalex.org/W2039707205","https://openalex.org/W2044809217","https://openalex.org/W2049145900","https://openalex.org/W2049332222","https://openalex.org/W2055134999","https://openalex.org/W2057627929","https://openalex.org/W2062002217","https://openalex.org/W2081163355","https://openalex.org/W2084540358","https://openalex.org/W2089984340","https://openalex.org/W2090498027","https://openalex.org/W2090890880","https://openalex.org/W2092858961","https://openalex.org/W2115496325","https://openalex.org/W2115733473","https://openalex.org/W2130010995","https://openalex.org/W2155131245","https://openalex.org/W2155759143","https://openalex.org/W2261793433","https://openalex.org/W2312690978","https://openalex.org/W3149667697","https://openalex.org/W6600566992","https://openalex.org/W6630220839"],"related_works":["https://openalex.org/W240272210","https://openalex.org/W4239527082","https://openalex.org/W2372186565","https://openalex.org/W2089645512","https://openalex.org/W2379343790","https://openalex.org/W2359967926","https://openalex.org/W4308757930","https://openalex.org/W2355137669","https://openalex.org/W4251903213","https://openalex.org/W2383844134"],"abstract_inverted_index":{"A":[0,43],"triangular":[1,34,56,136],"spectral":[2,57,99,137],"element":[3,58,100,138],"method":[4,139],"is":[5,36,61,106,131],"proposed":[6],"for":[7,54,134,140],"Stokes":[8,104,148],"eigenvalues,":[9],"which":[10,26],"utilizes":[11],"the":[12,18,39,47,52,65,69,74,79,109,116,123,125,147,161,166,169,172],"generalized":[13],"orthogonal":[14],"Koornwinder":[15],"polynomials":[16],"as":[17,28],"local":[19,23,70,120],"basis":[20],"functions.":[21],"The":[22],"polynomial":[24,113],"projection,":[25],"serves":[27],"a":[29],"Fortin":[30],"interpolation":[31],"on":[32,46,159],"each":[33],"element,":[35],"defined":[37],"by":[38,115],"truncated":[40],"Koornwinder-Fourier":[41],"series.":[42],"sharp":[44],"estimate":[45,77,129],"discrete":[48,162],"inf-sup":[49,163],"constant":[50,164],"of":[51,68,78,118,146,165,171],"divergence":[53,167],"our":[55,135,157],"approximation":[59],"scheme":[60],"then":[62],"acquired":[63],"via":[64],"stability":[66],"analysis":[67],"projection":[71,101],"operator.":[72],"Further,":[73],"optimal":[75,126],"error":[76],"<inline-formula":[80],"content-type=\"math/mathml\">":[81],"<mml:math":[82],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[83],"alttext=\"upper":[84],"H":[85],"Superscript":[86],"1\">":[87],"<mml:semantics>":[88],"<mml:msup>":[89],"<mml:mi>H</mml:mi>":[90],"<mml:mn>1</mml:mn>":[91],"</mml:msup>":[92],"<mml:annotation":[93],"encoding=\"application/x-tex\">H^1</mml:annotation>":[94],"</mml:semantics>":[95],"</mml:math>":[96],"</inline-formula>":[97],"-orthogonal":[98],"oriented":[102],"to":[103,155],"equations":[105],"obtained":[107],"through":[108],"globally":[110],"continuous":[111],"piecewise":[112],"assembled":[114],"union":[117],"all":[119],"projections.":[121],"In":[122],"sequel,":[124],"convergence":[127],"rate/error":[128],"theory":[130],"eventually":[132],"established":[133],"both":[141,160],"eigenvalue":[142],"and":[143,168],"source":[144],"problems":[145],"equations.":[149],"Finally,":[150],"numerical":[151],"experiments":[152],"are":[153],"presented":[154],"illustrate":[156],"theories":[158],"accuracy":[170],"computational":[173],"eigenvalues.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}