caa a22 4500 378860119 CHVBK 20180305123344.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0007 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0007 Dryja Maksymilian Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland. On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [Elektronische Daten] [Maksymilian Dryja] Discontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed. Although the preconditioner is not optimal it is very well suited for parallel computations and its rate of convergence is independent of the jumps of coefficients. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. nonmatching grid nationallicence interior penalty discretization nationallicence elliptic problem with discontinuous coefficients nationallicence finite element method nationallicence multilevel additive Schwarz method nationallicence Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 76-85 1609-4840 3:1<76 2003 3 cmam https://doi.org/10.2478/cmam-2003-0007 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0007 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dryja Maksymilian Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 76-85 1609-4840 3:1<76 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter