{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T19:52:47Z","timestamp":1775245967307,"version":"3.50.1"},"reference-count":51,"publisher":"Walter de Gruyter GmbH","issue":"4","funder":[{"name":"NSF MRI","award":["DMS-1337943"],"award-info":[{"award-number":["DMS-1337943"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we present and analyze a FETI-DP\nsolver with deluxe scaling for a Nitsche-type discretization\n[Comput. Methods Appl. Math. 3 (2003), 76\u201385],\n[SIAM J. Numer. Anal. 49 (2011), 1761\u20131787] based on a\ndiscontinuous Galerkin (DG) method for elliptic two-dimensional problems\nwith discontinuous coefficients and non-matching meshes only across\nsubdomains. We establish a condition number estimate for\nthe preconditioned linear system which is scalable with respect to the number of subdomains, is quasi-optimal polylogarithmic with respect to subdomain\nmesh size, and is independent of coefficient discontinuities\nand ratio of mesh sizes across subdomain\ninterfaces. Numerical experiments support the theory and show that the deluxe\nscaling improves significantly the performance over classical scaling.<\/jats:p>","DOI":"10.1515\/cmam-2015-0025","type":"journal-article","created":{"date-parts":[[2015,9,11]],"date-time":"2015-09-11T02:38:31Z","timestamp":1441939111000},"page":"465-482","source":"Crossref","is-referenced-by-count":3,"title":["A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method"],"prefix":"10.1515","volume":"15","author":[{"given":"Maksymilian","family":"Dryja","sequence":"first","affiliation":[{"name":"Department of Informatics, Vistula University, Stoklosy 3, 02-787 Warsaw, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan","family":"Galvis","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Nacional de Colombia, Bogot\u00e1, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marcus","family":"Sarkis","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences at Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA 01609, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,9,10]]},"reference":[{"key":"ref551","doi-asserted-by":"crossref","first-page":"652","DOI":"10.1093\/imanum\/drs017","article-title":"Weighted Poincar\u00e9 inequalities IMA no","volume":"58","author":"Pechstein","year":"2013","journal-title":"Numer Anal"},{"key":"ref51","first-page":"4","article-title":"Ayuso de Dios and Uniformly convergent iterative methods for discontinuous Galerkin discretizations no","volume":"7","author":"Zikatanov","year":"2009","journal-title":"Sci Comput"},{"key":"ref291","first-page":"1621","article-title":"Domain decomposition preconditioners for multiscale flows in high contrast media : Reduced dimension coarse spaces Multiscale Model","volume":"32","author":"Galvis","year":"2010","journal-title":"Simul"},{"key":"ref71","doi-asserted-by":"crossref","first-page":"472","DOI":"10.1002\/nla.1838","article-title":"- - 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