{"id":"https://openalex.org/W2886183992","doi":"https://doi.org/10.1109/smacd.2018.8434892","title":"A Combinatorial Multigrid Preconditioned Iterative Method for Large Scale Circuit Simulation on GPU s","display_name":"A Combinatorial Multigrid Preconditioned Iterative Method for Large Scale Circuit Simulation on GPU s","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2886183992","doi":"https://doi.org/10.1109/smacd.2018.8434892","mag":"2886183992"},"language":"en","primary_location":{"id":"doi:10.1109/smacd.2018.8434892","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smacd.2018.8434892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Conference on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design (SMACD)","raw_type":"proceedings-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/A5041568803","display_name":"Dimitrios Garyfallou","orcid":"https://orcid.org/0000-0001-8616-2366"},"institutions":[{"id":"https://openalex.org/I145722265","display_name":"University of Thessaly","ror":"https://ror.org/04v4g9h31","country_code":"GR","type":"education","lineage":["https://openalex.org/I145722265"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Dimitrios Garyfallou","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Thessaly, Volos, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Thessaly, Volos, Greece","institution_ids":["https://openalex.org/I145722265"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008228117","display_name":"Nestor Evmorfopoulos","orcid":"https://orcid.org/0000-0002-6968-0222"},"institutions":[{"id":"https://openalex.org/I145722265","display_name":"University of Thessaly","ror":"https://ror.org/04v4g9h31","country_code":"GR","type":"education","lineage":["https://openalex.org/I145722265"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nestor Evmorfopoulos","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Thessaly, Volos, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Thessaly, Volos, Greece","institution_ids":["https://openalex.org/I145722265"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065041833","display_name":"Georgios Stamoulis","orcid":"https://orcid.org/0000-0001-7248-8197"},"institutions":[{"id":"https://openalex.org/I145722265","display_name":"University of Thessaly","ror":"https://ror.org/04v4g9h31","country_code":"GR","type":"education","lineage":["https://openalex.org/I145722265"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Georgios Stamoulis","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Thessaly, Volos, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Thessaly, Volos, Greece","institution_ids":["https://openalex.org/I145722265"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041568803"],"corresponding_institution_ids":["https://openalex.org/I145722265"],"apc_list":null,"apc_paid":null,"fwci":0.2137,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55865985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"209","last_page":"212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9965000152587891,"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/multigrid-method","display_name":"Multigrid method","score":0.7915579676628113},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7635663747787476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6985206604003906},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5996520519256592},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5611032247543335},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4880737066268921},{"id":"https://openalex.org/keywords/modified-nodal-analysis","display_name":"Modified nodal analysis","score":0.43357929587364197},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4276352524757385},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.412769615650177},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.410079687833786},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4047107696533203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17216190695762634},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1073647141456604},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08794739842414856}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.7915579676628113},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7635663747787476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6985206604003906},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5996520519256592},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5611032247543335},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4880737066268921},{"id":"https://openalex.org/C60643732","wikidata":"https://www.wikidata.org/wiki/Q6889414","display_name":"Modified nodal analysis","level":3,"score":0.43357929587364197},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4276352524757385},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.412769615650177},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.410079687833786},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4047107696533203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17216190695762634},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1073647141456604},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08794739842414856},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","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/C83330619","wikidata":"https://www.wikidata.org/wiki/Q21124872","display_name":"NODAL","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/smacd.2018.8434892","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smacd.2018.8434892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Conference on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design (SMACD)","raw_type":"proceedings-article"},{"id":"pmh:oai:ir.lib.uth.gr:11615/71978","is_oa":false,"landing_page_url":"http://hdl.handle.net/11615/71978","pdf_url":null,"source":{"id":"https://openalex.org/S4306400243","display_name":"University of Thessaly Institutional Repository (University of Thessaly)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145722265","host_organization_name":"University of Thessaly","host_organization_lineage":["https://openalex.org/I145722265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SMACD 2018 - 15th International Conference on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design","raw_type":"conferenceItem"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1966040142","https://openalex.org/W1981589173","https://openalex.org/W2018687442","https://openalex.org/W2051989863","https://openalex.org/W2085606491","https://openalex.org/W2085789510","https://openalex.org/W2123864128","https://openalex.org/W2129752640","https://openalex.org/W2131254145","https://openalex.org/W2135277685","https://openalex.org/W2139030761","https://openalex.org/W2342900491"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W2155025153","https://openalex.org/W4253880741","https://openalex.org/W2361205607","https://openalex.org/W4235544854","https://openalex.org/W1230139712","https://openalex.org/W2980404785","https://openalex.org/W2369649360"],"abstract_inverted_index":{"Efficient":[0],"large":[1,50],"scale":[2],"circuit":[3],"simulation":[4],"is":[5,18],"among":[6],"the":[7,12,19,34,44,57,74,103,107,113],"most":[8],"challenging":[9],"problems":[10],"facing":[11],"EDA":[13],"industry":[14],"today,":[15],"since":[16],"it":[17],"only":[20],"feasible":[21],"way":[22],"to":[23,29,98],"verify":[24],"a":[25,64],"circuit's":[26],"behaviour":[27],"prior":[28],"manufacturing.":[30],"In":[31],"recent":[32],"years,":[33],"emphasis":[35],"has":[36],"been":[37],"placed":[38],"on":[39,90],"preconditioning":[40,109],"methods":[41],"which":[42],"reduce":[43],"number":[45],"of":[46,84],"iterations":[47],"for":[48,78,102],"solving":[49],"Symmetric":[51],"Diagonally":[52],"Dominant":[53],"systems":[54],"resulting":[55],"after":[56],"Modified":[58],"Nodal":[59],"Analysis.":[60],"This":[61],"paper":[62],"presents":[63],"GPU-accelerated":[65],"Preconditioned":[66],"Conjugate":[67],"Gradient":[68],"(PCG)":[69],"iterative":[70],"method":[71,105],"preconditioned":[72],"by":[73],"Combinatorial":[75],"Multigrid":[76],"(CMG)":[77],"fast":[79],"DC":[80],"and":[81,100,106],"transient":[82],"analysis":[83],"large-scale":[85],"linear":[86],"circuits.":[87],"Experimental":[88],"results":[89],"IBM":[91],"industrial":[92],"power":[93],"grids":[94],"demonstrate":[95],"speedups":[96],"up":[97],"4.69\u00d7":[99],"4.50\u00d7":[101],"PCG":[104],"CMG":[108],"algorithm,":[110],"respectively,":[111],"over":[112],"optimized":[114],"CPU":[115],"implementations.":[116]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2018-08-22T00:00:00"}