{"id":"https://openalex.org/W2075279118","doi":"https://doi.org/10.1007/s00791-010-0135-3","title":"A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing","display_name":"A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing","publication_year":2010,"publication_date":"2010-04-01","ids":{"openalex":"https://openalex.org/W2075279118","doi":"https://doi.org/10.1007/s00791-010-0135-3","mag":"2075279118"},"language":"en","primary_location":{"id":"doi:10.1007/s00791-010-0135-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-010-0135-3","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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":"Computing and Visualization in Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5445/ir/1000011634","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008644618","display_name":"Christian Wieners","orcid":"https://orcid.org/0000-0001-6242-6777"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Wieners","raw_affiliation_strings":["Institut f\u00fcr Angewandte und Numerische Mathematik, Karlsruher Institut f\u00fcr Technologie, Karlsruhe, Germany","Karlsruher Institut f\u00fcr Technologie, Institut f\u00fcr Angewandte und Numerische Mathematik, 76128, Karlsruhe, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Angewandte und Numerische Mathematik, Karlsruher Institut f\u00fcr Technologie, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]},{"raw_affiliation_string":"Karlsruher Institut f\u00fcr Technologie, Institut f\u00fcr Angewandte und Numerische Mathematik, 76128, Karlsruhe, Germany#TAB#","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008644618"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":4.2425,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.94491782,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"13","issue":"4","first_page":"161","last_page":"175"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9976000189781189,"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/multigrid-method","display_name":"Multigrid method","score":0.934540867805481},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.7753978967666626},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6797498464584351},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.63787841796875},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5430573225021362},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48502108454704285},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46015337109565735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4457187354564667},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.43039071559906006},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.4299827814102173},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.41434749960899353},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3979813754558563},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37358254194259644},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.3026532828807831},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.28675970435142517},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19829422235488892},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15137413144111633}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.934540867805481},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.7753978967666626},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6797498464584351},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.63787841796875},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5430573225021362},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48502108454704285},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46015337109565735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4457187354564667},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.43039071559906006},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.4299827814102173},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.41434749960899353},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3979813754558563},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37358254194259644},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3026532828807831},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.28675970435142517},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19829422235488892},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15137413144111633},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00791-010-0135-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-010-0135-3","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"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":"Computing and Visualization in Science","raw_type":"journal-article"},{"id":"pmh:oai:EVASTAR-Karlsruhe.de:1000011634","is_oa":false,"landing_page_url":"https://publikationen.bibliothek.kit.edu/1000011634","pdf_url":null,"source":{"id":"https://openalex.org/S4306401992","display_name":"Repository KITopen (Karlsruhe Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/book"},{"id":"doi:10.5445/ir/1000011634","is_oa":true,"landing_page_url":"https://doi.org/10.5445/ir/1000011634","pdf_url":null,"source":{"id":"https://openalex.org/S7407052948","display_name":"KITopen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"report"}],"best_oa_location":{"id":"doi:10.5445/ir/1000011634","is_oa":true,"landing_page_url":"https://doi.org/10.5445/ir/1000011634","pdf_url":null,"source":{"id":"https://openalex.org/S7407052948","display_name":"KITopen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W50025376","https://openalex.org/W83199674","https://openalex.org/W105127096","https://openalex.org/W181135967","https://openalex.org/W315472779","https://openalex.org/W1505817838","https://openalex.org/W1524015806","https://openalex.org/W1530115438","https://openalex.org/W1548589512","https://openalex.org/W1559891132","https://openalex.org/W1986485161","https://openalex.org/W1991427138","https://openalex.org/W1991554732","https://openalex.org/W1994525809","https://openalex.org/W2011596034","https://openalex.org/W2017085690","https://openalex.org/W2017407248","https://openalex.org/W2024123726","https://openalex.org/W2028481838","https://openalex.org/W2041732217","https://openalex.org/W2046061513","https://openalex.org/W2055094346","https://openalex.org/W2055487369","https://openalex.org/W2056087726","https://openalex.org/W2068281872","https://openalex.org/W2087549522","https://openalex.org/W2088959663","https://openalex.org/W2093538658","https://openalex.org/W2102635728","https://openalex.org/W2111230837","https://openalex.org/W2126036157","https://openalex.org/W2127981460","https://openalex.org/W2130751117","https://openalex.org/W2476257440","https://openalex.org/W2490989163","https://openalex.org/W2798909945","https://openalex.org/W4230055019","https://openalex.org/W4239898714"],"related_works":["https://openalex.org/W3135525767","https://openalex.org/W848979030","https://openalex.org/W4213410328","https://openalex.org/W3158253472","https://openalex.org/W2120298265","https://openalex.org/W2742455921","https://openalex.org/W2183037193","https://openalex.org/W2992173081","https://openalex.org/W4200168324","https://openalex.org/W1530514001"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}