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Softw."],"published-print":{"date-parts":[[2025,12,31]]},"abstract":"<jats:p>\n                    In this work, restricted additive Schwarz (RAS) and optimized restricted additive Schwarz (ORAS) preconditioners from the\n                    <jats:monospace>Trilinos<\/jats:monospace>\n                    package\n                    <jats:monospace>FROSch<\/jats:monospace>\n                    (Fast and Robust Overlapping Schwarz) are employed to solve model problems implemented using\n                    <jats:monospace>deal.II<\/jats:monospace>\n                    (differential equations analysis library). Therefore, a\n                    <jats:monospace>Tpetra<\/jats:monospace>\n                    -based interface for coupling\n                    <jats:monospace>deal.II<\/jats:monospace>\n                    and\n                    <jats:monospace>FROSch<\/jats:monospace>\n                    is implemented. While RAS preconditioners have been available before, ORAS preconditioners have been newly added to\n                    <jats:monospace>FROSch<\/jats:monospace>\n                    . The\n                    <jats:monospace>deal.II<\/jats:monospace>\n                    \u2013\n                    <jats:monospace>FROSch<\/jats:monospace>\n                    interface works for both Lagrange-based and N\u00e9d\u00e9lec finite elements. Here, as model problems, nonstationary, nonlinear, variational-monolithic fluid-structure interaction and the indefinite time-harmonic Maxwell\u2019s equations are considered. Several numerical experiments in two and three spatial dimensions confirm the performance of the preconditioners as well as the\n                    <jats:monospace>FROSch<\/jats:monospace>\n                    -\n                    <jats:monospace>deal.II<\/jats:monospace>\n                    interface. In conclusion, the overall software interface is straightforward and easy to use while giving satisfactory solver performances for challenging PDE systems.\n                  <\/jats:p>","DOI":"10.1145\/3766906","type":"journal-article","created":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T14:04:11Z","timestamp":1757513051000},"page":"1-29","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Coupling deal.II and FROSch: A Sustainable and Accessible (O)RAS Preconditioner"],"prefix":"10.1145","volume":"51","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0923-7413","authenticated-orcid":false,"given":"Sebastian","family":"Kinnewig","sequence":"first","affiliation":[{"name":"Institute of Applied Mathematics, Leibniz University Hannover, Hannover, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1578-8104","authenticated-orcid":false,"given":"Alexander","family":"Heinlein","sequence":"additional","affiliation":[{"name":"TU Delft, DIAM, Faculty of EEMCS Numerical Analysis, Delft, Netherlands"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1102-6332","authenticated-orcid":false,"given":"Thomas","family":"Wick","sequence":"additional","affiliation":[{"name":"Institute of Applied Mathematics, Leibniz University Hannover, Hannover, Germany"}]}],"member":"320","published-online":{"date-parts":[[2025,12,12]]},"reference":[{"key":"e_1_3_3_2_2","doi-asserted-by":"publisher","DOI":"10.1145\/3242094"},{"key":"e_1_3_3_3_2","doi-asserted-by":"publisher","DOI":"10.1515\/jnma-2023-0089"},{"key":"e_1_3_3_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2020.02.022"},{"key":"e_1_3_3_5_2","doi-asserted-by":"publisher","DOI":"10.1137\/090779425"},{"key":"e_1_3_3_6_2","doi-asserted-by":"publisher","DOI":"10.3233\/SPR-2012-0352"},{"key":"e_1_3_3_7_2","doi-asserted-by":"publisher","DOI":"10.1002\/9781118483565"},{"key":"e_1_3_3_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-95025-5_71"},{"key":"e_1_3_3_9_2","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/713587"},{"key":"e_1_3_3_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-50769-4_53"},{"key":"e_1_3_3_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-54517-7_5"},{"key":"e_1_3_3_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-14206-2"},{"key":"e_1_3_3_13_2","doi-asserted-by":"publisher","DOI":"10.1137\/100791634"},{"key":"e_1_3_3_14_2","doi-asserted-by":"publisher","DOI":"10.1137\/S106482759732678X"},{"key":"e_1_3_3_15_2","first-page":"373","volume-title":"Domain Decomposition Methods in Science and Engineering","author":"Cros J.-M.","year":"2003","unstructured":"J.-M. 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