{"id":"https://openalex.org/W2170409494","doi":null,"title":"Multilevel Mesh Partitioning for Optimising Domain Shape","display_name":"Multilevel Mesh Partitioning for Optimising Domain Shape","publication_year":null,"publication_date":null,"ids":{"openalex":"https://openalex.org/W2170409494","mag":"2170409494"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.19.342","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.342","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/WalshawTR3898.ps.gz","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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 H. Walshaw","orcid":"https://orcid.org/0000-0003-0253-7779","observed_orcids":["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"],"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110023636","display_name":"M. Cross","orcid":null,"observed_orcids":[]},"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"],"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111418567","display_name":"R. Diekmann","orcid":null,"observed_orcids":[]},"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,"observed_orcids":[]},"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"],"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"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.32670000195503235,"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":0.32670000195503235,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.2168000042438507,"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":0.13169999420642853,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/aspect-ratio","display_name":"aspect ratio","score":0.8970000147819519},{"id":"https://openalex.org/keywords/graph-contraction","display_name":"graph contraction","score":0.9160000085830688},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"parallel computing","score":0.6240000128746033},{"id":"https://openalex.org/keywords/load-balancing","display_name":"load balancing","score":0.5479999780654907},{"id":"https://openalex.org/keywords/communication-overhead","display_name":"communication overhead","score":0.49300000071525574},{"id":"https://openalex.org/keywords/finite-element-mesh","display_name":"finite element mesh","score":0.734000027179718}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8371328711509705},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.7725147008895874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6699487566947937},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4900304079055786},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45763328671455383},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45751968026161194},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4254434406757355},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.402179092168808},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39585399627685547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2678771913051605},{"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":"pmh:oai:CiteSeerX.psu:10.1.1.19.342","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.342","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/WalshawTR3898.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.31.3416","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.3416","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/~wc06/papers/ps/WalshawHPCA99.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.8882","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.8882","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://staffweb.cms.gre.ac.uk/~c.walshaw/papers/fulltext/WalshawTR3898.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W146173260","https://openalex.org/W269693900","https://openalex.org/W1488715453","https://openalex.org/W1588970912","https://openalex.org/W1657322894","https://openalex.org/W1970394924","https://openalex.org/W1981893977","https://openalex.org/W1982297630","https://openalex.org/W1988570599","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/W2072535053","https://openalex.org/W2077240465","https://openalex.org/W2098543352","https://openalex.org/W2118953734","https://openalex.org/W2161455936","https://openalex.org/W4236269389"],"related_works":["https://openalex.org/W4234812820","https://openalex.org/W192466525","https://openalex.org/W146173260","https://openalex.org/W1488715453","https://openalex.org/W7095311564","https://openalex.org/W7099949881","https://openalex.org/W2020140168","https://openalex.org/W6992791997","https://openalex.org/W1993690029","https://openalex.org/W2126895627"],"abstract_inverted_index":{"Multilevel":[0],"algorithms":[1,39,97,113],"are":[2,114],"a":[3,18,24,102],"successful":[4],"class":[5],"of":[6,56,71,76,86,111],"optimisation":[7,26],"techniques":[8],"which":[9,28],"address":[10],"the":[11,30,47,51,54,58,74,77,87,95,112],"mesh":[12,137],"partitioning":[13,138],"problem.":[14],"They":[15],"usually":[16],"combine":[17],"graph":[19,34,52],"contraction":[20],"algorithm":[21],"together":[22],"with":[23,53],"local":[25],"method":[27],"refines":[29],"partition":[31],"at":[32],"each":[33],"level.":[35],"To":[36],"date":[37],"these":[38],"have":[40],"been":[41,65],"used":[42],"almost":[43],"exclusively":[44],"to":[45,100,118],"minimise":[46],"cut-edge":[48],"weight":[49],"in":[50,98,141],"aim":[55],"minimising":[57],"parallel":[59],"communication":[60],"overhead.":[61],"However":[62],"it":[63],"has":[64],"shown":[66,117],"that":[67],"for":[68,136],"certain":[69],"classes":[70],"solution":[72],"algorithm,":[73],"convergence":[75],"solver":[78],"is":[79],"strongly":[80],"influenced":[81],"shape":[82],"or":[83],"aspect":[84,107,127],"ratio":[85],"subdomains.":[88],"In":[89],"this":[90],"paper":[91],"therefore,":[92],"we":[93],"modify":[94],"multilevel":[96,125],"order":[99],"optimise":[101],"cost":[103],"function":[104],"based":[105],"on":[106],"ratio.":[108],"Several":[109],"variants":[110],"tested":[115],"and":[116],"provide":[119],"excellent":[120],"results.":[121],"Keywords:":[122],"graph-partitioning,":[123],"mesh-partitioning,":[124],"algorithms,":[126],"ratio,":[128],"domain":[129],"decomposition":[130],"preconditioning.":[131],"1":[132],"Introduction":[133],"The":[134],"need":[135],"arises":[139],"naturally":[140],"many":[142],"f...":[143]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}