{"id":"https://openalex.org/W4234812820","doi":"https://doi.org/10.1177/109434209901300404","title":"Multilevel Mesh Partitioning for Optimizing Domain Shape","display_name":"Multilevel Mesh Partitioning for Optimizing Domain Shape","publication_year":1999,"publication_date":"1999-11-01","ids":{"openalex":"https://openalex.org/W4234812820","doi":"https://doi.org/10.1177/109434209901300404"},"language":"en","primary_location":{"id":"doi:10.1177/109434209901300404","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434209901300404","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/A5006094038","display_name":"Chris Walshaw","orcid":"https://orcid.org/0000-0003-0253-7779"},"institutions":[{"id":"https://openalex.org/I55060895","display_name":"University of Greenwich","ror":"https://ror.org/00bmj0a71","country_code":"GB","type":"education","lineage":["https://openalex.org/I55060895"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. Walshaw","raw_affiliation_strings":["School of Computing and Mathematical Sciences, University of Greenwich,\r                        London, U.K","School of Computing and Mathematical Sciences, University of Greenwich,\r London, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematical Sciences, University of Greenwich,\r                        London, U.K","institution_ids":["https://openalex.org/I55060895"]},{"raw_affiliation_string":"School of Computing and Mathematical Sciences, University of Greenwich,\r London, U.K","institution_ids":["https://openalex.org/I55060895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110023636","display_name":"M. Cross","orcid":null},"institutions":[{"id":"https://openalex.org/I55060895","display_name":"University of Greenwich","ror":"https://ror.org/00bmj0a71","country_code":"GB","type":"education","lineage":["https://openalex.org/I55060895"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Cross","raw_affiliation_strings":["School of Computing and Mathematical Sciences, University of Greenwich,\r                        London, U.K","School of Computing and Mathematical Sciences, University of Greenwich,\r London, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematical Sciences, University of Greenwich,\r                        London, U.K","institution_ids":["https://openalex.org/I55060895"]},{"raw_affiliation_string":"School of Computing and Mathematical Sciences, University of Greenwich,\r London, U.K","institution_ids":["https://openalex.org/I55060895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111418567","display_name":"R. Diekmann","orcid":null},"institutions":[{"id":"https://openalex.org/I94297397","display_name":"Hilti (Liechtenstein)","ror":"https://ror.org/044h7tr79","country_code":"LI","type":"company","lineage":["https://openalex.org/I94297397"]}],"countries":["LI"],"is_corresponding":false,"raw_author_name":"R. Diekmann","raw_affiliation_strings":["Hilti AG, Corporate Research, FL-9494 Schaan, Principality of Liechtenstein"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hilti AG, Corporate Research, FL-9494 Schaan, Principality of Liechtenstein","institution_ids":["https://openalex.org/I94297397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072432001","display_name":"F. Schlimbach","orcid":null},"institutions":[{"id":"https://openalex.org/I55060895","display_name":"University of Greenwich","ror":"https://ror.org/00bmj0a71","country_code":"GB","type":"education","lineage":["https://openalex.org/I55060895"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"F. Schlimbach","raw_affiliation_strings":["School of Computing and Mathematical Sciences, University of Greenwich,\r                        London, U.K","School of Computing and Mathematical Sciences, University of Greenwich,\r London, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematical Sciences, University of Greenwich,\r                        London, U.K","institution_ids":["https://openalex.org/I55060895"]},{"raw_affiliation_string":"School of Computing and Mathematical Sciences, University of Greenwich,\r London, U.K","institution_ids":["https://openalex.org/I55060895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3527,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.8291647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"4","first_page":"334","last_page":"353"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.998199999332428,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8099887371063232},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.7387447357177734},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6823639869689941},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.47590526938438416},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47232431173324585},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45215484499931335},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40819820761680603},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3899375796318054},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3352484107017517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2615928053855896}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8099887371063232},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.7387447357177734},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6823639869689941},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.47590526938438416},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47232431173324585},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45215484499931335},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40819820761680603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3899375796318054},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3352484107017517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2615928053855896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1177/109434209901300404","is_oa":false,"landing_page_url":"https://doi.org/10.1177/109434209901300404","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.19.7235","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.7235","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.gre.ac.uk/~c.walshaw/papers/../papers/ps/WalshawHPCA99.ps.gz","raw_type":"text"},{"id":"pmh:oai:gala.gre.ac.uk:218","is_oa":false,"landing_page_url":"http://gala.gre.ac.uk/id/eprint/218/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401244","display_name":"Greenwich Academic Literature Archive (University of Greenwich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I55060895","host_organization_name":"University of Greenwich","host_organization_lineage":["https://openalex.org/I55060895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W57989469","https://openalex.org/W1981893977","https://openalex.org/W1982297630","https://openalex.org/W2004951603","https://openalex.org/W2006080064","https://openalex.org/W2024060531","https://openalex.org/W2048893920","https://openalex.org/W2049673897","https://openalex.org/W2063806054","https://openalex.org/W2070232376","https://openalex.org/W2077240465","https://openalex.org/W2098543352","https://openalex.org/W2118953734","https://openalex.org/W2161455936","https://openalex.org/W4232240772","https://openalex.org/W4245503759"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2087496541","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2085564391","https://openalex.org/W3139829055","https://openalex.org/W2583811263","https://openalex.org/W3012931947","https://openalex.org/W2035944803"],"abstract_inverted_index":{"Multilevel":[0],"algorithms":[1,45,107,122],"are":[2,123],"a":[3,24,30,110],"successful":[4],"class":[5],"of":[6,62,77,81,95,120],"optimization":[7,32],"techniques":[8],"that":[9,34,73],"address":[10],"the":[11,36,53,57,60,64,79,82,90,96,102,105,115,121],"mesh":[12],"partitioning":[13],"problem":[14],"for":[15,74],"mapping":[16],"meshes":[17],"onto":[18],"parallel":[19,65],"computers.":[20],"They":[21],"usually":[22],"combine":[23],"graph":[25,40,58],"contraction":[26],"algorithm":[27,85],"together":[28],"with":[29,59],"lo-cal":[31],"method":[33],"refines":[35],"partition":[37],"at":[38],"each":[39],"level.":[41],"To":[42],"date,":[43],"these":[44],"have":[46],"been":[47,71],"used":[48],"al-most":[49],"exclusively":[50],"to":[51,108,127],"minimize":[52],"cut-edge":[54],"weight":[55],"in":[56,99],"aim":[61],"minimizing":[63],"communication":[66],"overhead.":[67],"However,":[68],"it":[69],"has":[70],"shown":[72,126],"certain":[75],"classes":[76],"problems,":[78],"convergence":[80],"underlying":[83],"solution":[84],"is":[86],"strongly":[87],"influenced":[88],"by":[89],"shape":[91],"or":[92],"aspect":[93,116],"ratio":[94],"subdomains.":[97],"Therefore,":[98],"this":[100],"paper,":[101],"authors":[103],"modify":[104],"multilevel":[106],"optimize":[109],"cost":[111],"function":[112],"based":[113],"on":[114],"ratio.":[117],"Several":[118],"variants":[119],"tested":[124],"and":[125],"provide":[128],"excellent":[129],"results.":[130]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}