{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T15:58:45Z","timestamp":1780329525727,"version":"3.54.1"},"reference-count":45,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"name":"Bayerische Kompetenznetzwerk fur Technisch-Wissenschaftliches Hoch-und Hochstleistungsrechnen"},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC 2181\/1 - 390900948"],"award-info":[{"award-number":["EXC 2181\/1 - 390900948"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2025,6,30]]},"DOI":"10.1137\/23m1625962","type":"journal-article","created":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T20:50:01Z","timestamp":1747428601000},"page":"B645-B664","source":"Crossref","is-referenced-by-count":5,"title":["Smoothers with Localized Residual Computations for Geometric Multigrid Methods for Higher-Order Finite Elements"],"prefix":"10.1137","volume":"47","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3644-3917","authenticated-orcid":true,"given":"Micha\u0142","family":"Wichrowski","sequence":"first","affiliation":[{"name":"Interdisciplinary Center for Scientifc Computing, Heidelberg University, Heidelberg, 69120 Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter","family":"Munch","sequence":"additional","affiliation":[{"name":"High-Performance Scientific Computing, University of Augsburg, Augsburg, 86159 Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Martin","family":"Kronbichler","sequence":"additional","affiliation":[{"name":"High-Performance Scientific Computing, University of Augsburg, Augsburg, 86159 Germany."},{"name":"Applied Numerics, Faculty of Mathematics, Ruhr University Bochum, Bochum, D-44780 Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guido","family":"Kanschat","sequence":"additional","affiliation":[{"name":"Interdisciplinary Center for Scientifc Computing, Heidelberg University, Heidelberg, 69120 Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,5,16]]},"reference":[{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1515\/jnma-2023-0089"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2020.02.022"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-97-00826-0"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/PL00005386"},{"key":"ref6","first-page":"14","volume":"38","author":"Bangerth W.","year":"2012","journal-title":"ACM Trans. Math. Softw."},{"key":"ref7","series-title":"Pitman Res. Notes Math. Ser. 294","volume-title":"Multigrid Methods","author":"Bramble J. H.","year":"1993"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/21M1444187"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01396415"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1145\/3425193"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.3390\/axioms7030063"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2306"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1145\/3445791"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109538"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1176-1_7"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02427-0"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2285"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-015-0712-y"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/090778523"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2007.04.032"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1515\/jnma-2015-0005"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/20M1376005"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.compfluid.2012.04.012"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1145\/3325864"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-58667-0_13"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1145\/3322813"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1177\/10943420221107880"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-004-4787-3"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/BF01386067"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1002\/nla.762"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1145\/3155290"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(00)00322-4"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1145\/3580314"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1177\/10943420231217221"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(80)90005-4"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/BF01385709"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1137\/100791701"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1137\/23M1568806"},{"key":"ref42","volume-title":"Intel Threading Building Blocks","author":"Reinders J.","year":"2007"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/21M1430698"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.fluid.35.101101.161209"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/21M1431199"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2021.108235"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(86)90008-2"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1002\/nme.7350"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1515\/cmam-2020-0078"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T20:50:03Z","timestamp":1747428603000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1625962"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,16]]},"references-count":45,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,6,30]]}},"alternative-id":["10.1137\/23M1625962"],"URL":"https:\/\/doi.org\/10.1137\/23m1625962","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5,16]]}}}