{"id":"https://openalex.org/W2026049990","doi":"https://doi.org/10.1155/2007/60595","title":"Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips","display_name":"Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2026049990","doi":"https://doi.org/10.1155/2007/60595","mag":"2026049990"},"language":"en","primary_location":{"id":"doi:10.1155/2007/60595","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2007/60595","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2007/060595.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2007/060595.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073200528","display_name":"B. M. Singh","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"B. M. Singh","raw_affiliation_strings":["Department of Computer Science, The University of Calgary, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020310155","display_name":"Jon Rokne","orcid":"https://orcid.org/0000-0002-3439-2917"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. G. Rokne","raw_affiliation_strings":["Department of Computer Science, The University of Calgary, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111818009","display_name":"Ranjit S. Dhaliwal","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"R. S. Dhaliwal","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of Calgary, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073200528"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12959521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2007","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9969000220298767,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9969000220298767,"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/T10514","display_name":"Numerical methods in engineering","score":0.9839000105857849,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9435999989509583,"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/strips","display_name":"STRIPS","score":0.8155856132507324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7165728211402893},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6711458563804626},{"id":"https://openalex.org/keywords/elliptic-integral","display_name":"Elliptic integral","score":0.6586898565292358},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6307733058929443},{"id":"https://openalex.org/keywords/charge-density","display_name":"Charge density","score":0.49117013812065125},{"id":"https://openalex.org/keywords/elliptic-function","display_name":"Elliptic function","score":0.4794417917728424},{"id":"https://openalex.org/keywords/charge","display_name":"Charge (physics)","score":0.4688478708267212},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4329744279384613},{"id":"https://openalex.org/keywords/electrostatics","display_name":"Electrostatics","score":0.42794176936149597},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4181984066963196},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.40374502539634705},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25882458686828613},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14408767223358154}],"concepts":[{"id":"https://openalex.org/C200925200","wikidata":"https://www.wikidata.org/wiki/Q7624170","display_name":"STRIPS","level":2,"score":0.8155856132507324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7165728211402893},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6711458563804626},{"id":"https://openalex.org/C52704855","wikidata":"https://www.wikidata.org/wiki/Q1126603","display_name":"Elliptic integral","level":2,"score":0.6586898565292358},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6307733058929443},{"id":"https://openalex.org/C150708132","wikidata":"https://www.wikidata.org/wiki/Q744771","display_name":"Charge density","level":2,"score":0.49117013812065125},{"id":"https://openalex.org/C123958593","wikidata":"https://www.wikidata.org/wiki/Q938102","display_name":"Elliptic function","level":2,"score":0.4794417917728424},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.4688478708267212},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4329744279384613},{"id":"https://openalex.org/C117626034","wikidata":"https://www.wikidata.org/wiki/Q26336","display_name":"Electrostatics","level":2,"score":0.42794176936149597},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4181984066963196},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.40374502539634705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25882458686828613},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14408767223358154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2007/60595","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2007/60595","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2007/060595.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:060595","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2007/060595.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:574516bddf0d479788e0f3bbd80439d9","is_oa":true,"landing_page_url":"https://doaj.org/article/574516bddf0d479788e0f3bbd80439d9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2007 (2007)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2007/60595","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/60595","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"},{"id":"pmh:oai:prism.ucalgary.ca:1880/108540","is_oa":true,"landing_page_url":"http://hdl.handle.net/1880/108540","pdf_url":null,"source":{"id":"https://openalex.org/S4306402212","display_name":"PRISM (University of Calgary)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168635309","host_organization_name":"University of Calgary","host_organization_lineage":["https://openalex.org/I168635309"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1155/2007/60595","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2007/60595","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2007/060595.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2026049990.pdf","grobid_xml":"https://content.openalex.org/works/W2026049990.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W604181985","https://openalex.org/W1518993351","https://openalex.org/W2062856266","https://openalex.org/W2069022752","https://openalex.org/W2093608916","https://openalex.org/W2118307037","https://openalex.org/W2131175826","https://openalex.org/W2499039973","https://openalex.org/W3008609509"],"related_works":["https://openalex.org/W4383739293","https://openalex.org/W2317384888","https://openalex.org/W2412578807","https://openalex.org/W2083352208","https://openalex.org/W2119296315","https://openalex.org/W1985867766","https://openalex.org/W2601445645","https://openalex.org/W4383213556","https://openalex.org/W970543141","https://openalex.org/W4236012289"],"abstract_inverted_index":{"A":[0],"two-dimensional":[1],"electrostatic":[2,17],"problem":[3,27],"in":[4,75],"a":[5],"plane":[6],"with":[7,37],"earthed":[8],"elliptic":[9],"cavity":[10],"due":[11],"to":[12,30],"one":[13],"or":[14],"two":[15],"charged":[16],"strips":[18],"is":[19,28],"considered.":[20],"Using":[21],"the":[22,31,46,63,66,70,76],"integral":[23,35,50],"transform":[24],"technique,":[25],"each":[26],"reduced":[29],"solution":[32],"of":[33,45,48,62,78],"triple":[34,49],"equations":[36,51],"sine":[38],"kernels":[39],"and":[40],"weight":[41],"functions.":[42],"Closed-form":[43],"solutions":[44],"set":[47],"are":[52,57,73],"obtained.":[53],"Also":[54],"closed-form":[55],"expressions":[56],"obtained":[58],"for":[59,69],"charge":[60,71],"density":[61,72],"strips.":[64],"Finally,":[65],"numerical":[67],"results":[68],"given":[74],"form":[77],"tables.":[79]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}