{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T14:37:08Z","timestamp":1774622228106,"version":"3.50.1"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2010]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The present paper discusses the parallelization of the robust multigrid\ntechnique (RMT) and the possible way of applying this to unstructured grids. As opposed\nto the classical multigrid methods, the RMT is a trivial method of parallelization\non coarse grids independent of the smoothing iterations. Estimates of the minimum\nspeed-up and parallelism efficiency are given. An almost perfect load balance is demonstrated\nin a 3D illustrative test. To overcome the geometric nature of the technique, the\nRMT is used as a preconditioner in solving PDEs on unstructured grids. The procedure\nof auxiliary structured grids generation is considered in details.<\/jats:p>","DOI":"10.2478\/cmam-2010-0004","type":"journal-article","created":{"date-parts":[[2013,4,15]],"date-time":"2013-04-15T15:50:43Z","timestamp":1366041043000},"page":"87-94","source":"Crossref","is-referenced-by-count":3,"title":["Potentialities of the Robust Multigrid Technique"],"prefix":"10.2478","volume":"10","author":[{"given":"S.I.","family":"Martynenko","sequence":"first","affiliation":[{"name":"1P.I. Baranov Central Institute of Aviation Motors, 2 Aviamotornaya St., 111116 Moscow, Russia."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/1\/article-p87.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2010-0004\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:35Z","timestamp":1619101295000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/10\/1\/article-p87.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2010-0004","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2010]]}}}