{"id":"https://openalex.org/W1997972015","doi":"https://doi.org/10.1016/j.proeng.2013.07.107","title":"A Parallel Discontinuous Galerkin Method with Physical Orthogonal Basis on Curved Elements","display_name":"A Parallel Discontinuous Galerkin Method with Physical Orthogonal Basis on Curved Elements","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1997972015","doi":"https://doi.org/10.1016/j.proeng.2013.07.107","mag":"1997972015"},"language":"en","primary_location":{"id":"doi:10.1016/j.proeng.2013.07.107","doi":"https://doi.org/10.1016/j.proeng.2013.07.107","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.proeng.2013.07.107","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1877705813011739/pdf","source":{"id":"https://openalex.org/S45645249","display_name":"Procedia Engineering","issn_l":"1877-7058","issn":["1877-7058"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia Engineering","raw_type":"journal-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.sciencedirect.com/science/article/pii/S1877705813011739/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100728147","display_name":"Shujie Li","orcid":"https://orcid.org/0000-0003-0752-5531","observed_orcids":["https://orcid.org/0000-0003-0752-5531"]},"institutions":[{"id":"https://openalex.org/I115228651","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09","country_code":"SG","type":"government","lineage":["https://openalex.org/I115228651"]},{"id":"https://openalex.org/I3004594783","display_name":"Institute of High Performance Computing","ror":"https://ror.org/02n0ejh50","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3004594783","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Shujie Li","raw_affiliation_strings":["Institute of High Performance Computing (IHPC), Agency for Science,Technology and Research (A*STAR), I Fusionopolis Way, #16-16 Connexis, 138632, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Performance Computing (IHPC), Agency for Science,Technology and Research (A*STAR), I Fusionopolis Way, #16-16 Connexis, 138632, Singapore","institution_ids":["https://openalex.org/I115228651","https://openalex.org/I3004594783"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100728147"],"corresponding_institution_ids":["https://openalex.org/I115228651","https://openalex.org/I3004594783"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.08533617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"61","issue":null,"first_page":"144","last_page":"151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.7851999998092651,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.7851999998092651,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.21250000596046448,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"discontinuous Galerkin method","score":0.9279999732971191},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"parallel computing","score":0.7590000033378601},{"id":"https://openalex.org/keywords/openmp","display_name":"OpenMP","score":0.7099999785423279},{"id":"https://openalex.org/keywords/three-dimensional-aerodynamics","display_name":"three-dimensional aerodynamics","score":0.49799999594688416}],"concepts":[{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.7039679288864136},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6241402626037598},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5400084257125854},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5242995619773865},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5215444564819336},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.48597395420074463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4720633327960968},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.468813419342041},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.46396270394325256},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3918410539627075},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37129491567611694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3632700443267822},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3279757499694824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3213329315185547},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23967978358268738},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0893230140209198},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.proeng.2013.07.107","doi":"https://doi.org/10.1016/j.proeng.2013.07.107","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.proeng.2013.07.107","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1877705813011739/pdf","source":{"id":"https://openalex.org/S45645249","display_name":"Procedia Engineering","issn_l":"1877-7058","issn":["1877-7058"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia Engineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.proeng.2013.07.107","doi":"https://doi.org/10.1016/j.proeng.2013.07.107","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.proeng.2013.07.107","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1877705813011739/pdf","source":{"id":"https://openalex.org/S45645249","display_name":"Procedia Engineering","issn_l":"1877-7058","issn":["1877-7058"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1997972015.pdf","grobid_xml":"https://content.openalex.org/works/W1997972015.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1966171361","https://openalex.org/W2012026163","https://openalex.org/W2063884077","https://openalex.org/W2079263908"],"related_works":["https://openalex.org/W4394862210","https://openalex.org/W2980041250","https://openalex.org/W1988186711","https://openalex.org/W4400692944","https://openalex.org/W2019653437","https://openalex.org/W1621833581","https://openalex.org/W52337866","https://openalex.org/W2318689170","https://openalex.org/W2576784087","https://openalex.org/W4250266670"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,95,112],"parallel":[4,61],"high-order":[5,46],"Discontinuous":[6],"Galerkin":[7],"method":[8,88,104],"based":[9,70],"on":[10,39,71],"orthogonal":[11,25,37],"basis":[12,26],"functions":[13],"in":[14],"physical":[15,24],"space":[16],"for":[17,65,91,105],"arbitrary":[18,40],"three-dimensional":[19],"curved":[20,107],"boundary":[21],"geometry.":[22],"The":[23,83,118],"are":[27,52],"obtained":[28],"by":[29],"solving":[30],"multi-stage":[31],"linear":[32],"systems":[33],"which":[34,69],"satisfy":[35],"the":[36,45,66,87,100,103,122,127],"properties":[38],"grids.":[41],"On":[42],"curved-boundary":[43],"surfaces,":[44],"Finite":[47],"Element":[48],"type":[49],"of":[50,77,86,102,126],"grids":[51],"used":[53],"to":[54],"represent":[55],"real":[56],"local":[57],"curvature.":[58],"An":[59],"efficient":[60],"strategy":[62],"is":[63,89,116],"devised":[64],"resulting":[67],"solver,":[68],"OPENMP":[72],"(Open":[73],"Multi-Processing)":[74],"automatic":[75],"parallelization":[76],"independent":[78],"elemental":[79],"and":[80,124],"face-based":[81],"operations.":[82],"convergence":[84],"accuracy":[85,123],"tested":[90],"subsonic":[92],"flow":[93,110],"over":[94,111],"sphere.":[96],"To":[97],"further":[98],"demonstrate":[99,121],"robustness":[101,125],"complex":[106],"geometry,":[108],"external":[109],"whole":[113],"airplane":[114],"configure":[115],"tested.":[117],"validation":[119],"cases":[120],"method.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}