{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:25:59Z","timestamp":1747189559072,"version":"3.40.5"},"reference-count":42,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12071244"],"award-info":[{"award-number":["12071244"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2309245","DMS-1937254"],"award-info":[{"award-number":["DMS-2309245","DMS-1937254"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2024,12,31]]},"DOI":"10.1137\/23m1604746","type":"journal-article","created":{"date-parts":[[2024,11,12]],"date-time":"2024-11-12T09:12:07Z","timestamp":1731402727000},"page":"7439-7462","source":"Crossref","is-referenced-by-count":0,"title":["\\({\\varGamma }\\)-Convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data"],"prefix":"10.1137","volume":"56","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2551-7853","authenticated-orcid":true,"given":"Weiye","family":"Gan","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1067-8937","authenticated-orcid":true,"given":"Qiang","family":"Du","sequence":"additional","affiliation":[{"name":"Department of Applied Physics and Applied Mathematics and Data Science Institute, Columbia University, New York, NY 10027 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9122-0302","authenticated-orcid":true,"given":"Zuoqiang","family":"Shi","sequence":"additional","affiliation":[{"name":"Corresponding author. Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China, and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, China."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2024,11,12]]},"reference":[{"volume-title":"Sobolev Spaces","year":"2003","author":"Adams R. A.","key":"ref1"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2017.06.035"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9399(2002)128:11(1119)"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-015-0717-6"},{"key":"ref5","first-page":"439","volume-title":"Optimal Control and Partial Differential Equations: In Honour of Professor Alain Bensoussan\u2019s 60th Birthday","author":"Bourgain J.","year":"2001"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198507840.001.0001"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2020.112016"},{"key":"ref8","series-title":"Progr. Nonlinear Differential Equations Appl. 8","volume-title":"An Introduction to -Convergence","author":"Dal Maso G.","year":"2012"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.actamat.2006.10.049"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611975628"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/110833294"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202512500546"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2022.109453"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1017\/S096249292000001X"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-04496-0_8"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4355-5"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/019"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s42102-021-00074-x"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-015-0929-z"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1093\/mnras\/181.3.375"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1002\/nag.898"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2010.26.551"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2022.v20.n7.a2"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.4208\/cicp.111015.250716a"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1086\/112164"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.125.1091"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2013.18.1415"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1997.5776"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s00526-003-0195-z"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-022-09557-9"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/23M1588111"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1186\/s40687-017-0111-3"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1137\/16M1098747"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5096(99)00029-0"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/17M115222X"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.01.061"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2018.08.016"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2022.v20.n2.a3"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1002\/nme.2458"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2019089"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2017.11.007"},{"journal-title":"A Second-Order Nonlocal Approximation for Manifold Poisson Model with Dirichlet Boundary","year":"2024","author":"Zhang Y.","key":"ref46"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,11,12]],"date-time":"2024-11-12T09:12:16Z","timestamp":1731402736000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1604746"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,12]]},"references-count":42,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2024,12,31]]}},"alternative-id":["10.1137\/23M1604746"],"URL":"https:\/\/doi.org\/10.1137\/23m1604746","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"type":"print","value":"0036-1410"},{"type":"electronic","value":"1095-7154"}],"subject":[],"published":{"date-parts":[[2024,11,12]]}}}