{"id":"https://openalex.org/W3005416111","doi":"https://doi.org/10.1109/skima47702.2019.8982518","title":"On the Solution of Poisson\u2019s Equation using Deep Learning","display_name":"On the Solution of Poisson\u2019s Equation using Deep Learning","publication_year":2019,"publication_date":"2019-08-01","ids":{"openalex":"https://openalex.org/W3005416111","doi":"https://doi.org/10.1109/skima47702.2019.8982518","mag":"3005416111"},"language":"en","primary_location":{"id":"doi:10.1109/skima47702.2019.8982518","is_oa":false,"landing_page_url":"https://doi.org/10.1109/skima47702.2019.8982518","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)","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/A5047231636","display_name":"Riya Aggarwal","orcid":"https://orcid.org/0000-0003-4261-8223"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Riya Aggarwal","raw_affiliation_strings":["University of Newcastle,School of Engineering,Newcastle,Australia","School of Engineering, University of Newcastle, Newcastle, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Newcastle,School of Engineering,Newcastle,Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"School of Engineering, University of Newcastle, Newcastle, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083781406","display_name":"Hassan Ugail","orcid":"https://orcid.org/0000-0002-3084-1797"},"institutions":[{"id":"https://openalex.org/I139894009","display_name":"University of Bradford","ror":"https://ror.org/00vs8d940","country_code":"GB","type":"education","lineage":["https://openalex.org/I139894009"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hassan Ugail","raw_affiliation_strings":["University of Bradford,Centre for Visual Computing,Bradford,United Kingdom","Centre for Visual Computing, University of Bradford, Bradford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bradford,Centre for Visual Computing,Bradford,United Kingdom","institution_ids":["https://openalex.org/I139894009"]},{"raw_affiliation_string":"Centre for Visual Computing, University of Bradford, Bradford, United Kingdom","institution_ids":["https://openalex.org/I139894009"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2892,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.68876297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.9118000268936157,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9118000268936157,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/computer-science","display_name":"Computer science","score":0.5558583736419678},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.46198660135269165},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.4210558831691742},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3804851174354553},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37069493532180786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2826192378997803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19166696071624756},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18786635994911194}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5558583736419678},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.46198660135269165},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.4210558831691742},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3804851174354553},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37069493532180786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2826192378997803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19166696071624756},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18786635994911194}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/skima47702.2019.8982518","is_oa":false,"landing_page_url":"https://doi.org/10.1109/skima47702.2019.8982518","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)","raw_type":"proceedings-article"},{"id":"pmh:uon:44418","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1452368","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W581347801","https://openalex.org/W970993559","https://openalex.org/W1537224157","https://openalex.org/W1624012152","https://openalex.org/W1915329794","https://openalex.org/W1968679263","https://openalex.org/W1999698136","https://openalex.org/W2008073424","https://openalex.org/W2026656818","https://openalex.org/W2045429898","https://openalex.org/W2048628065","https://openalex.org/W2049056913","https://openalex.org/W2070604790","https://openalex.org/W2160121923","https://openalex.org/W2398701309","https://openalex.org/W2475950994","https://openalex.org/W2740067724","https://openalex.org/W2747993927","https://openalex.org/W2794431063","https://openalex.org/W2908121874","https://openalex.org/W2940931619","https://openalex.org/W2961955365","https://openalex.org/W2997095758","https://openalex.org/W4213350990","https://openalex.org/W6640017751","https://openalex.org/W6652231383"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W4248002887"],"abstract_inverted_index":{"We":[0,101],"devise":[1],"a":[2,11,37,87,127],"numerical":[3,42],"method":[4,22],"for":[5,39],"solving":[6],"the":[7,41,45,53,68,73,78,82,99,104,107,122],"Poisson's":[8,54,79,108],"equation":[9,80,109],"using":[10],"convolutional":[12],"neural":[13,30,89],"network":[14,69],"architecture,":[15],"otherwise":[16],"known":[17],"as":[18,143,145],"deep":[19,57,113,134],"learning.":[20],"The":[21,64],"we":[23,129],"have":[24,102,130],"employed":[25],"here":[26],"uses":[27],"both":[28],"feedforward":[29,88],"systems":[31],"and":[32],"backpropagation":[33],"to":[34,71,98,117],"set":[35],"up":[36],"framework":[38,59,115,136],"achieving":[40],"solutions":[43,105,139],"of":[44,67,77,86,106],"elliptic":[46],"partial":[47],"differential":[48],"equations":[49],"-":[50],"more":[51],"superficially":[52],"equation.":[55],"Our":[56],"learning":[58,114,135],"has":[60],"two":[61],"substantial":[62],"entities.":[63],"first":[65],"part":[66,84],"enables":[70],"fulfill":[72],"necessary":[74],"boundary":[75,119],"conditions":[76,120],"while":[81],"second":[83],"consisting":[85],"system":[90],"containing":[91],"flexible":[92],"parameters":[93],"or":[94],"weights":[95],"gives":[96],"rise":[97],"solution.":[100],"compared":[103],"arising":[110],"from":[111],"our":[112,133],"subject":[116],"various":[118],"with":[121],"corresponding":[123],"analytic":[124],"solutions.":[125],"As":[126],"result,":[128],"found":[131],"that":[132],"can":[137],"obtain":[138],"which":[140],"are":[141],"accurate":[142],"well":[144],"efficient.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
