On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients
Gespeichert in:
Verfasser / Beitragende:
[Maksymilian Dryja]
Ort, Verlag, Jahr:
2003
Enthalten in:
Computational Methods in Applied Mathematics, 3/1(2003), 76-85
Format:
Artikel (online)
Online Zugang:
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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 | |
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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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