{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T11:55:04Z","timestamp":1775908504273,"version":"3.50.1"},"reference-count":61,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/V026259\/1"],"award-info":[{"award-number":["EP\/V026259\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002920","name":"Research Grants Council, University Grants Committee","doi-asserted-by":"publisher","award":["14306423"],"award-info":[{"award-number":["14306423"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004853","name":"Chinese University of Hong Kong","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004853","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002920","name":"Research Grants Council, University Grants Committee","doi-asserted-by":"publisher","award":["15303021"],"award-info":[{"award-number":["15303021"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004377","name":"Hong Kong Polytechnic University","doi-asserted-by":"publisher","award":["P0038888"],"award-info":[{"award-number":["P0038888"]}],"id":[{"id":"10.13039\/501100004377","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004377","name":"Hong Kong Polytechnic University","doi-asserted-by":"publisher","award":["1-ZVX3"],"award-info":[{"award-number":["1-ZVX3"]}],"id":[{"id":"10.13039\/501100004377","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2024,8,31]]},"DOI":"10.1137\/23m1601195","type":"journal-article","created":{"date-parts":[[2024,7,30]],"date-time":"2024-07-30T08:03:11Z","timestamp":1722326591000},"page":"C369-C398","source":"Crossref","is-referenced-by-count":11,"title":["Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks"],"prefix":"10.1137","volume":"46","author":[{"given":"Tianhao","family":"Hu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, People\u2019s Republic of China."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3775-9155","authenticated-orcid":true,"given":"Bangti","family":"Jin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, People\u2019s Republic of China."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3439-0313","authenticated-orcid":true,"given":"Zhi","family":"Zhou","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong, People\u2019s Republic of China."}]}],"member":"351","published-online":{"date-parts":[[2024,7,30]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511624216"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1476(199804)21:6<519::AID-MMA962>3.0.CO;2-R"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1476(19960110)19:1<63::AID-MMA764>3.0.CO;2-S"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2000.6499"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1620200611"},{"key":"ref6","first-page":"463","volume":"3","author":"Bartlett P. L.","year":"2002","journal-title":"J. Mach. Learn. Res."},{"key":"ref7","first-page":"1","volume":"18","author":"Baydin A. G.","year":"2018","journal-title":"J. Mach. Learn. Res."},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1162\/neco_a_01583"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142903382048"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02237995"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/0916069"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110514"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142999355945"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2005.06.004"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827500372778"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-01-00923-5"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-022-01939-z"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0086682"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1051\/proc:1999044"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drac085"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-022-09985-9"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/1980140302391"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ac337f"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(73)90023-5"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/0704008"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1002\/nme.2914"},{"key":"ref27","author":"Gao Z.","year":"2023","journal-title":"Commun. Appl. Math. Comput."},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/22M1527763"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drn039"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611972030"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2020.11.010"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/22M1520840"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.4208\/cicp.OA-2021-0186"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1142\/S021953052350015X"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/ac6d03"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1038\/s42254-021-00314-5"},{"key":"ref40","first-page":"161","volume":"1","author":"Kozlov V. A.","year":"1989","journal-title":"Algebra i Analiz"},{"key":"ref41","volume-title":"Elliptic Boundary Value Problems in Domains with Point Singularities","author":"Kozlov V. A.","year":"1997"},{"key":"ref42","volume-title":"Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations","author":"Kozlov V. A.","year":"2001"},{"key":"ref43","first-page":"26548","volume-title":"Advances in Neural Information Processing Systems","volume":"34","author":"Krishnapriyan A.","year":"2021"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/72.712178"},{"key":"ref45","first-page":"133","volume":"61","author":"Le Roux M.-N.","year":"2008","journal-title":"Samuel Beckett Today\/aujourd\u2019hui"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1137\/120878446"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1137\/21M1397908"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/162"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drab093"},{"key":"ref52","volume-title":"Foundations of Machine Learning","author":"Mohri M.","year":"2018"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1007\/s10704-012-9716-0"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1002\/num.22555"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.10.045"},{"key":"ref57","first-page":"A791","volume":"286","author":"Raugel G.","year":"1978","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. A-B"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.4208\/cicp.OA-2020-0193"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2023.112084"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.08.029"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1002\/mma.1670100309"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2021.114333"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110768"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-73991-1"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1007\/s40304-018-0127-z"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.08.114"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109409"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,7,30]],"date-time":"2024-07-30T08:03:28Z","timestamp":1722326608000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1601195"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,30]]},"references-count":61,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,8,31]]}},"alternative-id":["10.1137\/23M1601195"],"URL":"https:\/\/doi.org\/10.1137\/23m1601195","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,7,30]]}}}