{"id":"https://openalex.org/W4406934093","doi":"https://doi.org/10.1137/24m1653756","title":"Code Generation and Performance Engineering for Matrix-Free Finite Element Methods on Hybrid Tetrahedral Grids","display_name":"Code Generation and Performance Engineering for Matrix-Free Finite Element Methods on Hybrid Tetrahedral Grids","publication_year":2025,"publication_date":"2025-01-29","ids":{"openalex":"https://openalex.org/W4406934093","doi":"https://doi.org/10.1137/24m1653756"},"language":"en","primary_location":{"id":"doi:10.1137/24m1653756","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1653756","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/A5046563179","display_name":"Fabian B\u00f6hm","orcid":"https://orcid.org/0000-0001-8516-9785"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Fabian B\u00f6hm","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany, and Erlangen National High Performance Computing Center (EHR@FAU), Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany, and Erlangen National High Performance Computing Center (EHR@FAU), Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103144876","display_name":"Daniel Bauer","orcid":"https://orcid.org/0009-0008-9397-2883"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Bauer","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany"],"raw_orcid":"https://orcid.org/0009-0008-9397-2883","affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032938194","display_name":"Nils Kohl","orcid":"https://orcid.org/0000-0003-4797-0664"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nils Kohl","raw_affiliation_strings":["Department of Earth and Environmental Sciences, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen (LMU), Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Earth and Environmental Sciences, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen (LMU), Munich, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058357790","display_name":"Christie Louis Alappat","orcid":"https://orcid.org/0000-0003-4548-8727"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christie L. Alappat","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4548-8727","affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085094235","display_name":"Dominik Th\u00f6nnes","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominik Th\u00f6nnes","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8340-4849","affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021181231","display_name":"Marcus Mohr","orcid":"https://orcid.org/0000-0003-2942-8484"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcus Mohr","raw_affiliation_strings":["Department of Earth and Environmental Sciences, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen (LMU), Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2942-8484","affiliations":[{"raw_affiliation_string":"Department of Earth and Environmental Sciences, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen (LMU), Munich, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043208394","display_name":"Harald Koestler","orcid":"https://orcid.org/0000-0002-6992-2690"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harald K\u00f6stler","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109197540","display_name":"Ulrich R\u00fcde","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]},{"id":"https://openalex.org/I4210106946","display_name":"Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique","ror":"https://ror.org/02dzbc556","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210106946"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Ulrich R\u00fcde","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany, and Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique (CERFACS), Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg (FAU), Erlangen, Germany, and Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique (CERFACS), Toulouse, France","institution_ids":["https://openalex.org/I4210106946","https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.938,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.91753573,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"47","issue":"1","first_page":"B131","last_page":"B159"},"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":0.9944000244140625,"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":0.9944000244140625,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9842000007629395,"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/tetrahedron","display_name":"Tetrahedron","score":0.7108368873596191},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.677223265171051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6548904180526733},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5631030201911926},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5535802245140076},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48125120997428894},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.4115443229675293},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3707291781902313},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3363504409790039},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3286542296409607},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27648329734802246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25312721729278564},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19989976286888123},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1765957474708557},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12160158157348633},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10097071528434753},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.09233143925666809}],"concepts":[{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.7108368873596191},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.677223265171051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6548904180526733},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5631030201911926},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5535802245140076},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48125120997428894},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.4115443229675293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3707291781902313},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3363504409790039},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3286542296409607},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27648329734802246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25312721729278564},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19989976286888123},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1765957474708557},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12160158157348633},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10097071528434753},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.09233143925666809},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1653756","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1653756","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"},{"id":"pmh:oai:HAL:hal-04963804v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04963804","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 2025, 47 (1), pp.B131-B159. &#x27E8;10.1137/24M1653756&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3992037128","display_name":null,"funder_award_id":"440719683","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320331625","display_name":"Gauss Centre for Supercomputing","ror":"https://ror.org/0585fsj26"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1522241184","https://openalex.org/W1525132831","https://openalex.org/W1569090332","https://openalex.org/W1572617741","https://openalex.org/W1974122416","https://openalex.org/W1975977317","https://openalex.org/W1976184877","https://openalex.org/W1979836673","https://openalex.org/W1986608219","https://openalex.org/W1994388915","https://openalex.org/W1998902021","https://openalex.org/W2001088168","https://openalex.org/W2002555321","https://openalex.org/W2005073368","https://openalex.org/W2006895912","https://openalex.org/W2011212378","https://openalex.org/W2011664413","https://openalex.org/W2018225490","https://openalex.org/W2053486661","https://openalex.org/W2056087726","https://openalex.org/W2062618977","https://openalex.org/W2072132691","https://openalex.org/W2091183786","https://openalex.org/W2100418324","https://openalex.org/W2102635728","https://openalex.org/W2107979247","https://openalex.org/W2108956554","https://openalex.org/W2139710482","https://openalex.org/W2140741668","https://openalex.org/W2342281373","https://openalex.org/W2417863416","https://openalex.org/W2588108287","https://openalex.org/W2597480328","https://openalex.org/W2612795562","https://openalex.org/W2622013296","https://openalex.org/W2767520933","https://openalex.org/W2887308724","https://openalex.org/W2923328826","https://openalex.org/W2962926460","https://openalex.org/W3000936750","https://openalex.org/W3011811412","https://openalex.org/W3015660399","https://openalex.org/W3046621064","https://openalex.org/W3046781014","https://openalex.org/W3048757510","https://openalex.org/W3094360093","https://openalex.org/W3105886089","https://openalex.org/W3112246944","https://openalex.org/W3121682852","https://openalex.org/W3122714673","https://openalex.org/W3135711703","https://openalex.org/W3204708751","https://openalex.org/W4205634890","https://openalex.org/W4387500804"],"related_works":["https://openalex.org/W1968118470","https://openalex.org/W64135090","https://openalex.org/W1639679172","https://openalex.org/W1979263033","https://openalex.org/W3118923040","https://openalex.org/W2296577031","https://openalex.org/W2478182825","https://openalex.org/W2587686085","https://openalex.org/W2355719877","https://openalex.org/W2893057958"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
