{"id":"https://openalex.org/W2171825765","doi":"https://doi.org/10.1177/1094342007093680","title":"Improved Performance for Nodal Spectral Element Operators","display_name":"Improved Performance for Nodal Spectral Element Operators","publication_year":2008,"publication_date":"2008-10-22","ids":{"openalex":"https://openalex.org/W2171825765","doi":"https://doi.org/10.1177/1094342007093680","mag":"2171825765"},"language":"en","primary_location":{"id":"doi:10.1177/1094342007093680","is_oa":false,"landing_page_url":"https://doi.org/10.1177/1094342007093680","pdf_url":null,"source":{"id":"https://openalex.org/S60606485","display_name":"The International Journal of High Performance Computing Applications","issn_l":"1094-3420","issn":["1094-3420","1741-2846"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of High Performance Computing Applications","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/A5082796420","display_name":"Uwe Fladrich","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Uwe Fladrich","raw_affiliation_strings":["CENTER FOR INFORMATION SERVICES AND HIGH PERFORMANCE\rCOMPUTING (ZIH), TECHNISCHE UNIVERSIT\u00c4T DRESDEN, 01062 DRESDEN, GERMANY,"],"affiliations":[{"raw_affiliation_string":"CENTER FOR INFORMATION SERVICES AND HIGH PERFORMANCE\rCOMPUTING (ZIH), TECHNISCHE UNIVERSIT\u00c4T DRESDEN, 01062 DRESDEN, GERMANY,","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035669714","display_name":"J\u00f6rg Stiller","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00f6rg Stiller","raw_affiliation_strings":["INSTITUTE FOR AEROSPACE ENGINEERING (ILR), TECHNISCHE\rUNIVERSIT\u00c4T DRESDEN, 01062 DRESDEN, GERMANY"],"affiliations":[{"raw_affiliation_string":"INSTITUTE FOR AEROSPACE ENGINEERING (ILR), TECHNISCHE\rUNIVERSIT\u00c4T DRESDEN, 01062 DRESDEN, GERMANY","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040346332","display_name":"Wolfgang E. Nagel","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang E. Nagel","raw_affiliation_strings":["CENTER FOR INFORMATION SERVICES AND HIGH PERFORMANCE\rCOMPUTING (ZIH), TECHNISCHE UNIVERSIT\u00c4T DRESDEN, 01062 DRESDEN, GERMANY"],"affiliations":[{"raw_affiliation_string":"CENTER FOR INFORMATION SERVICES AND HIGH PERFORMANCE\rCOMPUTING (ZIH), TECHNISCHE UNIVERSIT\u00c4T DRESDEN, 01062 DRESDEN, GERMANY","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082796420"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1601094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"4","first_page":"450","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9878000020980835,"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/speedup","display_name":"Speedup","score":0.7754990458488464},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7365762591362},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6168003678321838},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.6106790900230408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5837514996528625},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5122960805892944},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.4658200740814209},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.465618371963501},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.44902974367141724},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.42662858963012695},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41909319162368774},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.39901667833328247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29822883009910583},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11788210272789001}],"concepts":[{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.7754990458488464},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7365762591362},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6168003678321838},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.6106790900230408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5837514996528625},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5122960805892944},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.4658200740814209},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.465618371963501},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.44902974367141724},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.42662858963012695},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41909319162368774},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.39901667833328247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29822883009910583},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11788210272789001},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/1094342007093680","is_oa":false,"landing_page_url":"https://doi.org/10.1177/1094342007093680","pdf_url":null,"source":{"id":"https://openalex.org/S60606485","display_name":"The International Journal of High Performance Computing Applications","issn_l":"1094-3420","issn":["1094-3420","1741-2846"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of High Performance Computing Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5799999833106995,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321613","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1546459231","https://openalex.org/W1973681957","https://openalex.org/W1976584147","https://openalex.org/W1987498275","https://openalex.org/W1996356934","https://openalex.org/W2017488448","https://openalex.org/W2041640855","https://openalex.org/W2044695077","https://openalex.org/W2047352485","https://openalex.org/W2049487270","https://openalex.org/W2049548546","https://openalex.org/W2073839654","https://openalex.org/W2081163355","https://openalex.org/W2142296733","https://openalex.org/W2174937805","https://openalex.org/W2913016580","https://openalex.org/W4213135654","https://openalex.org/W4231414267"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W2146343568","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2027972911","https://openalex.org/W2013643406","https://openalex.org/W2157978810","https://openalex.org/W2597809628","https://openalex.org/W3046370962"],"abstract_inverted_index":{"The":[0,23],"computational":[1,75],"performance":[2,60],"of":[3,18,34,52,67,74,89],"the":[4,16,30,68,87,90,97],"nodal":[5],"spectral":[6],"element":[7],"method":[8],"(SEM)":[9],"for":[10],"tetrahedral":[11],"grids":[12],"is":[13,27],"evaluated":[14],"in":[15,48],"context":[17],"a":[19,49,64,71],"high-performance":[20],"computing":[21],"platform.":[22],"elemental":[24],"SEM":[25],"operator":[26,93],"accelerated":[28],"by":[29],"symmetry-based":[31],"factorization":[32],"technique":[33],"Hesthaven":[35],"and":[36,56,94],"Teng":[37],"(SIAM":[38],"J.":[39],"Sci.":[40],"Comp.":[41],"21,":[42],"p.":[43],"2352,":[44],"2000),":[45],"which":[46,82],"results":[47],"reduced":[50],"number":[51],"floating":[53],"point":[54],"operations":[55],"memory":[57],"accesses.":[58],"However,":[59],"evaluation":[61],"reveals":[62],"that":[63],"naive":[65],"implementation":[66],"algorithm":[69],"causes":[70],"severe":[72],"degradation":[73],"efficiency.":[76],"Two":[77],"algorithmic":[78],"modifications":[79],"are":[80],"proposed":[81],"regain":[83],"(and":[84],"partly":[85],"exceed)":[86],"efficiency":[88],"original,":[91],"non-factorized":[92],"thus":[95],"recover":[96],"asymptotic":[98],"9/5":[99],"speedup":[100],"due":[101],"to":[102],"factorization.":[103]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
