On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients

Verfasser / Beitragende:
[Maksymilian Dryja]
Ort, Verlag, Jahr:
2003
Enthalten in:
Computational Methods in Applied Mathematics, 3/1(2003), 76-85
Format:
Artikel (online)
ID: 378860119
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024 7 0 |a 10.2478/cmam-2003-0007  |2 doi 
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100 1 |a Dryja  |D Maksymilian  |u Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland. 
245 1 0 |a On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients  |h [Elektronische Daten]  |c [Maksymilian Dryja] 
520 3 |a 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. 
540 |a 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. 
690 7 |a nonmatching grid  |2 nationallicence 
690 7 |a interior penalty discretization  |2 nationallicence 
690 7 |a elliptic problem with discontinuous coefficients  |2 nationallicence 
690 7 |a finite element method  |2 nationallicence 
690 7 |a multilevel additive Schwarz method  |2 nationallicence 
773 0 |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 3/1(2003), 76-85  |x 1609-4840  |q 3:1<76  |1 2003  |2 3  |o cmam 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Dryja  |D Maksymilian  |u Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 3/1(2003), 76-85  |x 1609-4840  |q 3:1<76  |1 2003  |2 3  |o cmam 
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