{"id":"https://openalex.org/W4362585823","doi":"https://doi.org/10.1007/s40314-023-02271-4","title":"Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions","display_name":"Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions","publication_year":2023,"publication_date":"2023-04-01","ids":{"openalex":"https://openalex.org/W4362585823","doi":"https://doi.org/10.1007/s40314-023-02271-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-023-02271-4","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s40314-023-02271-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5109447072","display_name":"N. Kishore Kumar","orcid":null},"institutions":[{"id":"https://openalex.org/I74796645","display_name":"Birla Institute of Technology and Science, Pilani","ror":"https://ror.org/001p3jz28","country_code":"IN","type":"education","lineage":["https://openalex.org/I74796645"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"N. Kishore Kumar","raw_affiliation_strings":["Birla Institute of Technology and Science Pilani, Hyderabad Campus, Pilani, India"],"raw_orcid":"https://orcid.org/0000-0003-1365-6319","affiliations":[{"raw_affiliation_string":"Birla Institute of Technology and Science Pilani, Hyderabad Campus, Pilani, India","institution_ids":["https://openalex.org/I74796645"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036815731","display_name":"Shivangi Joshi","orcid":"https://orcid.org/0009-0001-6486-7477"},"institutions":[{"id":"https://openalex.org/I74796645","display_name":"Birla Institute of Technology and Science, Pilani","ror":"https://ror.org/001p3jz28","country_code":"IN","type":"education","lineage":["https://openalex.org/I74796645"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shivangi Joshi","raw_affiliation_strings":["Birla Institute of Technology and Science Pilani, Hyderabad Campus, Pilani, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Birla Institute of Technology and Science Pilani, Hyderabad Campus, Pilani, India","institution_ids":["https://openalex.org/I74796645"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109447072"],"corresponding_institution_ids":["https://openalex.org/I74796645"],"apc_list":null,"apc_paid":null,"fwci":0.3267,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.43541988,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"42","issue":"3","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":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7687374353408813},{"id":"https://openalex.org/keywords/spectral-element-method","display_name":"Spectral element method","score":0.5945885181427002},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5647570490837097},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.5568947792053223},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5538488626480103},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5082166194915771},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5067270398139954},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.49926114082336426},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49438047409057617},{"id":"https://openalex.org/keywords/stiffness-matrix","display_name":"Stiffness matrix","score":0.46097531914711},{"id":"https://openalex.org/keywords/stiff-equation","display_name":"Stiff equation","score":0.4463556706905365},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.4269687533378601},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4175834059715271},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41331619024276733},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.40478843450546265},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3444802761077881},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2942502498626709},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2228662371635437},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.1948651373386383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0933782160282135}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7687374353408813},{"id":"https://openalex.org/C38961997","wikidata":"https://www.wikidata.org/wiki/Q7575186","display_name":"Spectral element method","level":4,"score":0.5945885181427002},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5647570490837097},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.5568947792053223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5538488626480103},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5082166194915771},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5067270398139954},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.49926114082336426},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49438047409057617},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.46097531914711},{"id":"https://openalex.org/C43012357","wikidata":"https://www.wikidata.org/wiki/Q29744","display_name":"Stiff equation","level":3,"score":0.4463556706905365},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.4269687533378601},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4175834059715271},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41331619024276733},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.40478843450546265},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3444802761077881},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2942502498626709},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2228662371635437},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.1948651373386383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0933782160282135},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"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:10.1007/s40314-023-02271-4","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s40314-023-02271-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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":88,"referenced_works":["https://openalex.org/W57092545","https://openalex.org/W224521294","https://openalex.org/W321261355","https://openalex.org/W594157154","https://openalex.org/W627933951","https://openalex.org/W628726389","https://openalex.org/W654805605","https://openalex.org/W1483728884","https://openalex.org/W1489767088","https://openalex.org/W1490180844","https://openalex.org/W1522335775","https://openalex.org/W1532923055","https://openalex.org/W1543911808","https://openalex.org/W1548589512","https://openalex.org/W1555557982","https://openalex.org/W1575849776","https://openalex.org/W1576195011","https://openalex.org/W1964334964","https://openalex.org/W1970774037","https://openalex.org/W1974077837","https://openalex.org/W1983631674","https://openalex.org/W1990054338","https://openalex.org/W1997235068","https://openalex.org/W2003261837","https://openalex.org/W2009351212","https://openalex.org/W2011724717","https://openalex.org/W2030471837","https://openalex.org/W2037347318","https://openalex.org/W2040474350","https://openalex.org/W2040896717","https://openalex.org/W2041607840","https://openalex.org/W2042669113","https://openalex.org/W2047352485","https://openalex.org/W2047785845","https://openalex.org/W2049238857","https://openalex.org/W2059467882","https://openalex.org/W2061586673","https://openalex.org/W2065877845","https://openalex.org/W2071166325","https://openalex.org/W2075614749","https://openalex.org/W2076568557","https://openalex.org/W2079074738","https://openalex.org/W2079089564","https://openalex.org/W2082348268","https://openalex.org/W2092806419","https://openalex.org/W2095992374","https://openalex.org/W2100055794","https://openalex.org/W2125667158","https://openalex.org/W2129932724","https://openalex.org/W2166023505","https://openalex.org/W2167424543","https://openalex.org/W2197912058","https://openalex.org/W2239571460","https://openalex.org/W2306997478","https://openalex.org/W2313675821","https://openalex.org/W2482820037","https://openalex.org/W2487440882","https://openalex.org/W2497898057","https://openalex.org/W2498216762","https://openalex.org/W2527769904","https://openalex.org/W2554537576","https://openalex.org/W2596528434","https://openalex.org/W2793132185","https://openalex.org/W2800850741","https://openalex.org/W2808967399","https://openalex.org/W2889564782","https://openalex.org/W2903867764","https://openalex.org/W2953749289","https://openalex.org/W2963364860","https://openalex.org/W2964336738","https://openalex.org/W2981255973","https://openalex.org/W2998920645","https://openalex.org/W3091975972","https://openalex.org/W3129093595","https://openalex.org/W3129412741","https://openalex.org/W4205634890","https://openalex.org/W4230048260","https://openalex.org/W4233665781","https://openalex.org/W4234174879","https://openalex.org/W4238784554","https://openalex.org/W4239704419","https://openalex.org/W4244063180","https://openalex.org/W4247375400","https://openalex.org/W4251197584","https://openalex.org/W4254163830","https://openalex.org/W4256055182","https://openalex.org/W4292166829","https://openalex.org/W4300079339"],"related_works":["https://openalex.org/W1513480254","https://openalex.org/W3034882149","https://openalex.org/W2047352485","https://openalex.org/W3104670583","https://openalex.org/W4243417470","https://openalex.org/W2372064402","https://openalex.org/W1621885647","https://openalex.org/W2006041274","https://openalex.org/W2802443021","https://openalex.org/W2022963516"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}