{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,28]],"date-time":"2026-07-28T21:22:17Z","timestamp":1785273737557,"version":"3.55.0"},"reference-count":67,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/501100010909","name":"Young Scientists Fund","doi-asserted-by":"publisher","award":["51809026"],"award-info":[{"award-number":["51809026"]}],"id":[{"id":"10.13039\/501100010909","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010909","name":"Young Scientists Fund","doi-asserted-by":"publisher","award":["61902049"],"award-info":[{"award-number":["61902049"]}],"id":[{"id":"10.13039\/501100010909","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Joint Special Fund for Basic Research of Local Undergraduate Universities in Yunnan Province","award":["202001BA070001-082"],"award-info":[{"award-number":["202001BA070001-082"]}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["MPS-706640"],"award-info":[{"award-number":["MPS-706640"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2023,12,31]]},"DOI":"10.1137\/22m1517081","type":"journal-article","created":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T13:05:45Z","timestamp":1700571945000},"page":"A2912-A2944","source":"Crossref","is-referenced-by-count":13,"title":["Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems"],"prefix":"10.1137","volume":"45","author":[{"given":"Xingwen","family":"Zhu","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer Sciences, Dali University, 2 Hongsheng Street, Dali, Yunnan, 671003, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7533-0416","authenticated-orcid":true,"given":"Xiaozhe","family":"Hu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Tufts University, Medford, MA 02155 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8621-9529","authenticated-orcid":true,"given":"Pengtao","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, NV 89154 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,11,20]]},"reference":[{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02248021"},{"key":"ref3","series-title":"Appl. Math. Sci. 166","volume-title":"Least-squares Finite Element Methods","author":"Bochev P. B.","year":"2009"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF02127700"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1002\/nme.4823"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/100805133"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.2495\/978-1-85312-837-0"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2017.01.004"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1364\/OE.384875"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050336"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/247172"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1002\/cnm.1640100303"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.fluid.33.1.445"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1002\/nme.2914"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1142\/S0219876218300015"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1718942115"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(02)00524-8"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2022.114358"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.advwatres.2020.103610"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2018.10.049"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2019.06.009"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/21M1447039"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1615\/JMachLearnModelComput.2023047367"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.4208\/cicp.OA-2020-0164"},{"key":"ref29","first-page":"20200334","volume":"476","author":"Jagtap A. D.","year":"2020","journal-title":"Proc. A"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2019.109136"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2020.113028"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111402"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.oceaneng.2022.110775"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2021.10.036"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-78827-0_78"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1038\/s42254-021-00314-5"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2020.113547"},{"key":"ref39","first-page":"298","volume-title":"Learning for Dynamics and Control, PMLR","author":"Khodayi-Mehr R.","year":"2020"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1002\/9781118869673"},{"key":"ref42","volume":"34","author":"Krishnapriyan A.","year":"2021","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/0731054"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.11650\/twjm\/1500407515"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2001.6813"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1137\/130912700"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1142\/S0219876216300014"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2000.6444"},{"key":"ref49","volume-title":"A 3D Method for Modelling the Fluid-Structure Interaction of Heart Valves","author":"Loon V. R.","year":"2005"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1137\/19M1274067"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.2140\/camcos.2015.10.97"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1137\/090763093"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2020.11.005"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drab032"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2013.04.042"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2009.04.018"},{"key":"ref58","first-page":"8024","volume-title":"Advances in Neural Information Processing Systems 32","author":"Paszke A.","year":"2019"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492902000077"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.10.045"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177729586"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2019.112790"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1002\/cnm.2556"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2021.3118904"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110683"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.08.029"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1007\/s00466-011-0589-2"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-34596-5_15"},{"key":"ref71","series-title":"Lect. Notes Comput. Sci. Eng. 73","first-page":"193","volume-title":"Fluid Structure Interaction II","author":"Turek S.","year":"2010"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109914"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1137\/20M1318043"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110768"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2019.108963"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2016.09.020"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2005.07.022"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,12,21]],"date-time":"2023-12-21T21:48:36Z","timestamp":1703195316000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1517081"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,20]]},"references-count":67,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,12,31]]}},"alternative-id":["10.1137\/22M1517081"],"URL":"https:\/\/doi.org\/10.1137\/22m1517081","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,20]]}}}