{"id":"https://openalex.org/W4404396699","doi":"https://doi.org/10.1016/j.jcp.2024.113579","title":"A physics-informed neural network based method for the nonlinear Poisson-Boltzmann equation and its error analysis","display_name":"A physics-informed neural network based method for the nonlinear Poisson-Boltzmann equation and its error analysis","publication_year":2024,"publication_date":"2024-11-15","ids":{"openalex":"https://openalex.org/W4404396699","doi":"https://doi.org/10.1016/j.jcp.2024.113579"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2024.113579","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2024.113579","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","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/A5013183356","display_name":"Hyeokjoo Park","orcid":"https://orcid.org/0000-0002-6481-0876"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyeokjoo Park","raw_affiliation_strings":["School of Mathematics and Computing (Computational Science and Engineering), Yonsei University, 50 Yonsei-ro Seodaemoon-gu, Seoul, 03722, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing (Computational Science and Engineering), Yonsei University, 50 Yonsei-ro Seodaemoon-gu, Seoul, 03722, Republic of Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091803644","display_name":"Gwanghyun Jo","orcid":"https://orcid.org/0000-0002-0635-2897"},"institutions":[{"id":"https://openalex.org/I4575257","display_name":"Hanyang University","ror":"https://ror.org/046865y68","country_code":"KR","type":"education","lineage":["https://openalex.org/I4575257"]},{"id":"https://openalex.org/I93906172","display_name":"Anyang University","ror":"https://ror.org/018pdh902","country_code":"KR","type":"education","lineage":["https://openalex.org/I93906172"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Gwanghyun Jo","raw_affiliation_strings":["Department of Mathematical Data Science, Hanyang University ERICA, 55 Hanyangdaehak-ro, Ansan-si, Gyeonggi-do, 15588, Republic of Korea"],"raw_orcid":"https://orcid.org/0000-0002-0635-2897","affiliations":[{"raw_affiliation_string":"Department of Mathematical Data Science, Hanyang University ERICA, 55 Hanyangdaehak-ro, Ansan-si, Gyeonggi-do, 15588, Republic of Korea","institution_ids":["https://openalex.org/I4575257","https://openalex.org/I93906172"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091803644"],"corresponding_institution_ids":["https://openalex.org/I4575257","https://openalex.org/I93906172"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":1.2227,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78310269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"522","issue":null,"first_page":"113579","last_page":"113579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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":0.9998999834060669,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9959999918937683,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9950000047683716,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.6561635732650757},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6119872331619263},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5583180785179138},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.53913414478302},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5031630396842957},{"id":"https://openalex.org/keywords/boltzmann-equation","display_name":"Boltzmann equation","score":0.48546841740608215},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.45730262994766235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44183552265167236},{"id":"https://openalex.org/keywords/boltzmann-machine","display_name":"Boltzmann machine","score":0.431627482175827},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3988254964351654},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3280123472213745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3266541361808777},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2276022732257843},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1897996962070465},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10505756735801697}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6561635732650757},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6119872331619263},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5583180785179138},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.53913414478302},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5031630396842957},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.48546841740608215},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.45730262994766235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44183552265167236},{"id":"https://openalex.org/C192576344","wikidata":"https://www.wikidata.org/wiki/Q194706","display_name":"Boltzmann machine","level":3,"score":0.431627482175827},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3988254964351654},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3280123472213745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3266541361808777},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2276022732257843},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1897996962070465},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10505756735801697}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jcp.2024.113579","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2024.113579","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3651602670","display_name":null,"funder_award_id":"2020R1C1C1A01005396","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G8010995754","display_name":null,"funder_award_id":"2017R1D1A1B03032765","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1490180844","https://openalex.org/W1979771104","https://openalex.org/W2005126631","https://openalex.org/W2021534482","https://openalex.org/W2022371628","https://openalex.org/W2048931055","https://openalex.org/W2071091971","https://openalex.org/W2072419120","https://openalex.org/W2081588627","https://openalex.org/W2805857603","https://openalex.org/W2912536714","https://openalex.org/W3008419421","https://openalex.org/W3010839048","https://openalex.org/W3022977644","https://openalex.org/W3031879091","https://openalex.org/W3033526262","https://openalex.org/W3091986675","https://openalex.org/W3159091598","https://openalex.org/W3176116059","https://openalex.org/W3194468165","https://openalex.org/W4212954647","https://openalex.org/W4212988227","https://openalex.org/W4293198592","https://openalex.org/W4294958351","https://openalex.org/W4317434745","https://openalex.org/W4322731021","https://openalex.org/W4386975944","https://openalex.org/W4387197380","https://openalex.org/W6629272265","https://openalex.org/W6682396937","https://openalex.org/W6784632399","https://openalex.org/W6842066958"],"related_works":["https://openalex.org/W2916681395","https://openalex.org/W2529583158","https://openalex.org/W2963348254","https://openalex.org/W1641020902","https://openalex.org/W2133316674","https://openalex.org/W1575733688","https://openalex.org/W3121130100","https://openalex.org/W4229814595","https://openalex.org/W4205570795","https://openalex.org/W2007906783"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}