{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,19]],"date-time":"2023-08-19T19:13:07Z","timestamp":1692472387112},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,4,1]]},"abstract":"<jats:title>Abstract.<\/jats:title><jats:p>\nA key component of domain decomposition solvers for <jats:italic>hp<\/jats:italic> discretizations of elliptic equations\nis the solver for internal stiffness matrices of <jats:italic>p<\/jats:italic>-elements.\nWe consider an\nalgorithm which belongs to the family of secondary domain\ndecomposition solvers, based on the finite-difference like preconditioning of <jats:italic>p<\/jats:italic>-elements,\nand was outlined by the author earlier. We remove the\nuncertainty in the choice of the coarse (decomposition) grid\nsolver and suggest the new interface Schur complement\npreconditioner. The latter essentially uses the boundary norm for discrete harmonic functions\ninduced by orthotropic discretizations on slim rectangles,\nwhich was derived recently.\nWe prove that the algorithm has linear arithmetical complexity.\n<\/jats:p>","DOI":"10.1515\/cmam-2013-0003","type":"journal-article","created":{"date-parts":[[2013,9,27]],"date-time":"2013-09-27T16:01:19Z","timestamp":1380297679000},"page":"161-183","source":"Crossref","is-referenced-by-count":4,"title":["Fast Domain Decomposition Type Solver for Stiffness Matrices of Reference p-Elements"],"prefix":"10.1515","volume":"13","author":[{"given":"Vadim","family":"Korneev","sequence":"first","affiliation":[{"name":"1St.\u00a0Petersburg State University, Universitetskaya naberezhnaya 7-9, 199034 St.\u00a0Petersburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/13\/2\/article-p161.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/downloadpdf\/journals\/cmam\/13\/2\/article-p161.xml","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,28]],"date-time":"2021-02-28T03:03:39Z","timestamp":1614481419000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2013-0003\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,1]]},"references-count":0,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1515\/cmam-2013-0003","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,4,1]]}}}