{"id":"https://openalex.org/W2059907596","doi":"https://doi.org/10.1137/040614013","title":"A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry","display_name":"A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2059907596","doi":"https://doi.org/10.1137/040614013","mag":"2059907596"},"language":"en","primary_location":{"id":"doi:10.1137/040614013","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040614013","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 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/A5080493680","display_name":"Lihua Shen","orcid":"https://orcid.org/0000-0002-2449-1778"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lihua Shen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5113202217","display_name":"Aihui Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aihui Zhou","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080493680"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1138,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.93854139,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"28","issue":"1","first_page":"321","last_page":"338"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9980999827384949,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8155758380889893},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6860190629959106},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6652901768684387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.603365957736969},{"id":"https://openalex.org/keywords/quantum-chemistry","display_name":"Quantum chemistry","score":0.5509825348854065},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45775306224823},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4559517502784729},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3279322683811188},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28517305850982666},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20022639632225037},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1707356870174408},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14112183451652527},{"id":"https://openalex.org/keywords/molecule","display_name":"Molecule","score":0.11308172345161438}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8155758380889893},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6860190629959106},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6652901768684387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.603365957736969},{"id":"https://openalex.org/C22994065","wikidata":"https://www.wikidata.org/wiki/Q188403","display_name":"Quantum chemistry","level":4,"score":0.5509825348854065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45775306224823},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4559517502784729},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3279322683811188},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28517305850982666},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20022639632225037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1707356870174408},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14112183451652527},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.11308172345161438},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C93275456","wikidata":"https://www.wikidata.org/wiki/Q756449","display_name":"Supramolecular chemistry","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/040614013","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040614013","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W58679925","https://openalex.org/W1968948586","https://openalex.org/W1978788279","https://openalex.org/W1981792545","https://openalex.org/W1985229169","https://openalex.org/W1990669907","https://openalex.org/W1993430470","https://openalex.org/W2000450704","https://openalex.org/W2010332082","https://openalex.org/W2018788206","https://openalex.org/W2031862917","https://openalex.org/W2036382499","https://openalex.org/W2041568728","https://openalex.org/W2042199582","https://openalex.org/W2043763125","https://openalex.org/W2044892973","https://openalex.org/W2048248082","https://openalex.org/W2050178911","https://openalex.org/W2060157253","https://openalex.org/W2062618977","https://openalex.org/W2065479689","https://openalex.org/W2071827078","https://openalex.org/W2079232547","https://openalex.org/W2080246801","https://openalex.org/W2086552710","https://openalex.org/W2091038863","https://openalex.org/W2091680541","https://openalex.org/W2108826765","https://openalex.org/W2152113173","https://openalex.org/W2168053679","https://openalex.org/W2328879523","https://openalex.org/W2505585705"],"related_works":["https://openalex.org/W3083820578","https://openalex.org/W2044927803","https://openalex.org/W1982496263","https://openalex.org/W2912679009","https://openalex.org/W2053448926","https://openalex.org/W2028454084","https://openalex.org/W2966383146","https://openalex.org/W2045892986","https://openalex.org/W2500331132","https://openalex.org/W2012824717"],"abstract_inverted_index":{"To":[0],"produce":[1],"highly":[2],"accurate":[3],"approximations":[4],"for":[5],"self-adjoint":[6],"elliptic":[7],"eigenvalues,":[8],"we":[9],"propose":[10],"a":[11],"finite":[12],"element":[13],"defect":[14],"correction":[15],"scheme.":[16],"Its":[17],"efficiency":[18],"is":[19],"proven":[20],"by":[21],"theoretical":[22],"and":[23],"numerical":[24],"evidence.":[25],"Very":[26],"satisfying":[27],"applications":[28],"in":[29],"computational":[30],"quantum":[31],"chemistry":[32],"are":[33],"also":[34],"presented.":[35]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}