{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T13:48:43Z","timestamp":1781358523083,"version":"3.54.1"},"reference-count":57,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/100008316","name":"Baden-W\u00fcrttemberg Stiftung","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100008316","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["INST 35\/1597-1 FUGG"],"award-info":[{"award-number":["INST 35\/1597-1 FUGG"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Heidelberg STRUCTURES Excellence Cluster","award":["EXC 2181\/1 - 390900948"],"award-info":[{"award-number":["EXC 2181\/1 - 390900948"]}]},{"name":"data science and intelligent medicine","award":["2023KCXTD054"],"award-info":[{"award-number":["2023KCXTD054"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2026,2,28]]},"DOI":"10.1137\/24m1695786","type":"journal-article","created":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T09:02:26Z","timestamp":1767344546000},"page":"B31-B58","source":"Crossref","is-referenced-by-count":3,"title":["Fast-Convergent Two-Level Restricted Additive Schwarz Methods Based on Optimal Local Approximation Spaces"],"prefix":"10.1137","volume":"48","author":[{"given":"Arne","family":"Strehlow","sequence":"first","affiliation":[{"name":"Institute for Applied Mathematics and Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, Heidelberg, 69120, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chupeng","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Sciences, Great Bay University, Dongguan, 523000 China; Great Bay Institute for Advanced Study, Dongguan, 523000, People\u2019s Republic of China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Robert","family":"Scheichl","sequence":"additional","affiliation":[{"name":"Institute for Applied Mathematics and Interdisciplinary Center for Scientific Computing, Heidelberg University, Im Neuenheimer Feld 205, Heidelberg, 69120, Germany."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2026,1,2]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/17M1153765"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/22M1469833"},{"key":"ref3","doi-asserted-by":"crossref","unstructured":"C. Alber, C. Ma, and R. Scheichl, A Mixed Multiscale Spectral Generalized Finite Element Method, preprint, arXiv:2403.16714, 2024.","DOI":"10.1007\/s00211-024-01446-3"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492921000015"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/100791051"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2020.06.007"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/21M1427231"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2024.113013"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/15M1054213"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/17M1138480"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/140988826"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/18M1207430"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/22M1507802"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-20409-8"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2018.04.010"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-022-01840-9"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974065"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2013.04.045"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2011073"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2010.09.026"},{"key":"ref21","volume-title":"Multiscale Finite Element Methods: Theory and Applications","volume":"4","author":"Efendiev Y.","year":"2009"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-018-1008-9"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-023-01386-4"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/090751190"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/100790112"},{"key":"ref26","unstructured":"M. J. Gander, A. Loneland, and T. Rahman, Analysis of a New Harmonically Enriched Multiscale Coarse Space for Domain Decomposition Methods, preprint, arXiv:1512.05285, 2015."},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/3798"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2015.02.053"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-93873-8_35"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1553\/etna_vol48s156"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/18M1220613"},{"key":"ref32","unstructured":"A. Heinlein and K. Smetana, A Fully Algebraic and Robust Two-Level Schwarz Method Based on Optimal Local Approximation Spaces, preprint, arXiv:2207.05559, 2022."},{"key":"ref33","first-page":"109","volume":"41","author":"Hetmaniuk U.","year":"2014","journal-title":"Electron. Trans. Numer. Anal."},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2010007"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-99-01077-7"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1997.5682"},{"key":"ref37","unstructured":"Q. Hu and Z. Li, A Novel Coarse Space Applying to the Weighted Schwarz Method for Helmholtz Equations, preprint, arXiv:2402.06905, 2024."},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1006\/jpdc.1997.1404"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-025-09711-z"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1137\/21M1466748"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1137\/22M1522231"},{"key":"ref42","first-page":"2539","volume":"91","author":"Ma C.","year":"2022","journal-title":"Math. Comp."},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/21M1406179"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2014-02868-8"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611976458"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(96)01087-0"},{"key":"ref47","unstructured":"F. Nataf and E. Parolin, Coarse Spaces for Non-Symmetric Two-level Preconditioners Based on Local Generalized Eigenproblems, preprint, arXiv:2404.02758, 2024."},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1017\/9781108594967"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2017.06.037"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2013118"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69894-1"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2017.09.104"},{"key":"ref53","unstructured":"N. Spillane, Robust Domain Decomposition Methods for Symmetric Positive Definite Problems, Ph.D. thesis, Universit\u00e9 Pierre et Marie Curie-Paris VI, 2014."},{"key":"ref54","unstructured":"N. Spillane, An Abstract Theory of Domain Decomposition Methods with Coarse Spaces of the Geneo Family, preprint, arXiv:2104.00280, 2021."},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-013-0576-y"},{"key":"ref56","volume-title":"Domain Decomposition Methods-Algorithms and Theory","volume":"34","author":"Toselli A.","year":"2004"},{"key":"ref57","unstructured":"P.H. Tournier, P. Jolivet, and F. Nataf, FFDDM: FreeFEM Domain Decomposition Method, https:\/\/doc.freefem.org\/documentation\/ffddm\/index.html, 2019."}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T17:39:54Z","timestamp":1770831594000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1695786"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,2]]},"references-count":57,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,2,28]]}},"alternative-id":["10.1137\/24M1695786"],"URL":"https:\/\/doi.org\/10.1137\/24m1695786","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,2]]}}}