Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods
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| 024 | 7 | 0 | |a 10.1515/1569395041172917 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569395041172917 | ||
| 245 | 0 | 0 | |a Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods |h [Elektronische Daten] |c [M. Dryja, A. Gantner, O.B. Widlund, B.I. Wohlmuth] |
| 520 | 3 | |a Mortar elements form a family of special non-overlapping domain decomposition methods which allows the coupling of different triangulations across subdomain boundaries. We discuss and analyze a multilevel preconditioner for mortar finite elements on nonmatching triangulations. The analysis is carried out within the abstract framework of additive Schwarz methods. Numerical results show a performance of our preconditioner as predicted by the theory. Our condition number estimate depends quadratically on the number of refinement levels. | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 690 | 7 | |a domain decomposition |2 nationallicence | |
| 690 | 7 | |a elliptic mortar finite element method |2 nationallicence | |
| 690 | 7 | |a non-matching triangulations |2 nationallicence | |
| 690 | 7 | |a preconditioned conjugate gradients |2 nationallicence | |
| 690 | 7 | |a additive Schwarz methods |2 nationallicence | |
| 700 | 1 | |a Dryja |D M. |u Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland |4 aut | |
| 700 | 1 | |a Gantner |D A. |u Math. Institut, Universität Augsburg, Universitätsstr. 14, 86 156 Augsburg, Germany |4 aut | |
| 700 | 1 | |a Widlund |D O.B. |u Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York,NY 10012, USA |4 aut | |
| 700 | 1 | |a Wohlmuth |D B.I. |u Department of Mathematics, Universität Stuttgart, Pfaffenwaldring 57, 70 569 Stuttgart, Germany |4 aut | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/1(2004-04-01), 23-38 |x 1570-2820 |q 12:1<23 |1 2004 |2 12 |o jnma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569395041172917 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569395041172917 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dryja |D M. |u Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gantner |D A. |u Math. Institut, Universität Augsburg, Universitätsstr. 14, 86 156 Augsburg, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Widlund |D O.B. |u Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York,NY 10012, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wohlmuth |D B.I. |u Department of Mathematics, Universität Stuttgart, Pfaffenwaldring 57, 70 569 Stuttgart, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/1(2004-04-01), 23-38 |x 1570-2820 |q 12:1<23 |1 2004 |2 12 |o jnma | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||