{"id":"https://openalex.org/W3017419009","doi":"https://doi.org/10.1109/tcsi.2020.2985652","title":"Effective Resistance of Finite Two-Dimensional Grids Based on Infinity Mirror Technique","display_name":"Effective Resistance of Finite Two-Dimensional Grids Based on Infinity Mirror Technique","publication_year":2020,"publication_date":"2020-04-24","ids":{"openalex":"https://openalex.org/W3017419009","doi":"https://doi.org/10.1109/tcsi.2020.2985652","mag":"3017419009"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2020.2985652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2020.2985652","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","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/A5087151326","display_name":"Rassul Bairamkulov","orcid":"https://orcid.org/0000-0001-6783-0664"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rassul Bairamkulov","raw_affiliation_strings":["University of Rochester, Rochester, USA"],"affiliations":[{"raw_affiliation_string":"University of Rochester, Rochester, USA","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053517349","display_name":"Eby G. Friedman","orcid":"https://orcid.org/0000-0002-5549-7160"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eby G. Friedman","raw_affiliation_strings":["University of Rochester, Rochester, USA"],"affiliations":[{"raw_affiliation_string":"University of Rochester, Rochester, USA","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087151326"],"corresponding_institution_ids":["https://openalex.org/I5388228"],"apc_list":null,"apc_paid":null,"fwci":1.5932,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.82857875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"67","issue":"9","first_page":"3224","last_page":"3233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987999796867371,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9976999759674072,"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/grid","display_name":"Grid","score":0.7325884699821472},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.6375648975372314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4922405779361725},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47402718663215637},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4717058837413788},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.46111583709716797},{"id":"https://openalex.org/keywords/resistive-touchscreen","display_name":"Resistive touchscreen","score":0.43914100527763367},{"id":"https://openalex.org/keywords/grid-network","display_name":"Grid network","score":0.432973712682724},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.42235293984413147},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3909950852394104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3905051350593567},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3019014596939087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2367151975631714},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22233173251152039},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.18110305070877075}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7325884699821472},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.6375648975372314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4922405779361725},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47402718663215637},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4717058837413788},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.46111583709716797},{"id":"https://openalex.org/C6899612","wikidata":"https://www.wikidata.org/wiki/Q852911","display_name":"Resistive touchscreen","level":2,"score":0.43914100527763367},{"id":"https://openalex.org/C24337046","wikidata":"https://www.wikidata.org/wiki/Q4394138","display_name":"Grid network","level":3,"score":0.432973712682724},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.42235293984413147},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3909950852394104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3905051350593567},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3019014596939087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2367151975631714},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22233173251152039},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.18110305070877075},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2020.2985652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2020.2985652","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1718156529","display_name":null,"funder_award_id":"CCF-1526466","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G477413170","display_name":null,"funder_award_id":"CCF-1716091","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5414577070","display_name":null,"funder_award_id":"W911NF-17-9-0001","funder_id":"https://openalex.org/F4320333051","funder_display_name":"Intelligence Advanced Research Projects Activity"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320307791","display_name":"Cisco Systems","ror":"https://ror.org/03yt1ez60"},{"id":"https://openalex.org/F4320333051","display_name":"Intelligence Advanced Research Projects Activity","ror":"https://ror.org/01v3fsc55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W601886942","https://openalex.org/W1582851475","https://openalex.org/W1976842306","https://openalex.org/W1983773166","https://openalex.org/W1987717935","https://openalex.org/W1989447390","https://openalex.org/W1991430328","https://openalex.org/W2002476159","https://openalex.org/W2017587938","https://openalex.org/W2025395756","https://openalex.org/W2040947010","https://openalex.org/W2048572907","https://openalex.org/W2055592956","https://openalex.org/W2063043587","https://openalex.org/W2064470072","https://openalex.org/W2079629645","https://openalex.org/W2081071127","https://openalex.org/W2084236827","https://openalex.org/W2086860422","https://openalex.org/W2104374134","https://openalex.org/W2113263990","https://openalex.org/W2115378302","https://openalex.org/W2127807526","https://openalex.org/W2147126729","https://openalex.org/W2161835363","https://openalex.org/W2167064216","https://openalex.org/W2197298196","https://openalex.org/W2568244497","https://openalex.org/W2908925679","https://openalex.org/W2962910558","https://openalex.org/W2970250564","https://openalex.org/W3099595126","https://openalex.org/W3151531149","https://openalex.org/W3199048625","https://openalex.org/W6801618277"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2280368905","https://openalex.org/W1984094532","https://openalex.org/W1576883264","https://openalex.org/W1968172879","https://openalex.org/W1507130066","https://openalex.org/W2378883250"],"abstract_inverted_index":{"Conventional":[0],"numerical":[1],"circuit":[2,43],"analysis":[3,44,56,165,176,191],"tools":[4],"typically":[5],"scale":[6],"superlinearly":[7],"with":[8,145,177],"the":[9,14,42,55,62,84,88,100,105,118,126,160,190],"number":[10],"of":[11,34,57,65,70,107,129,162,169,192],"nodes.":[12],"With":[13],"rapid":[15],"increase":[16],"in":[17,19,54,92,153,189],"nodes":[18,194],"modern":[20],"VLSI":[21],"systems,":[22,36],"alternative":[23],"methods":[24],"are":[25,103,138],"required.":[26],"The":[27,68,140,156],"effective":[28,63,127],"resistance":[29,64,128],"is":[30,38,51,80,90,122,187],"an":[31,149,178],"important":[32],"characteristic":[33],"electrical":[35],"which":[37],"used":[39],"to":[40,60,95,111,124],"simplify":[41],"process.":[45],"An":[46],"infinite":[47],"resistive":[48],"rectangular":[49],"mesh":[50],"commonly":[52],"assumed":[53],"grid":[58,79,89,101,164,181],"structures":[59],"determine":[61,125],"a":[66,73,77,96,130,196],"grid.":[67,206],"assumption":[69,106],"infinity":[71,108,119],"provides":[72],"useful":[74],"approximation":[75],"when":[76],"large":[78],"analyzed":[81,91],"far":[82],"from":[83],"boundaries.":[85],"If":[86],"however":[87],"close":[93],"proximity":[94],"boundary":[97],"or":[98,135],"if":[99],"dimensions":[102,137],"small,":[104],"may":[109],"lead":[110],"significant":[112],"error.":[113],"To":[114],"address":[115],"this":[116],"issue,":[117],"mirror":[120],"technique":[121],"proposed":[123,157],"two-dimensional":[131],"structure,":[132],"where":[133],"one":[134],"both":[136],"finite.":[139],"method":[141],"exhibits":[142],"good":[143],"agreement":[144],"nodal":[146,175],"analysis,":[147],"achieving":[148],"error":[150],"below":[151],"1%":[152],"case":[154],"studies.":[155],"expressions":[158],"enhance":[159],"speed":[161],"static":[163],"by":[166,171],"several":[167],"orders":[168],"magnitude":[170],"replacing":[172],"computationally":[173],"expensive":[174],"equivalent":[179],"reduced":[180],"analysis.":[182],"A":[183],"1,400":[184],"fold":[185],"speedup":[186],"achieved":[188],"100":[193],"within":[195],"10":[197,202],"<sup":[198,203],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[199,204],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[200],"\u00d7":[201],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sup>":[205]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
