On Fast Domain Decomposition Solving Procedures for hp-Discretizations of 3-D Elliptic Problems
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0034 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0034 | ||
| 245 | 0 | 0 | |a On Fast Domain Decomposition Solving Procedures for hp-Discretizations of 3-D Elliptic Problems |h [Elektronische Daten] |
| 520 | 3 | |a A DD (domain decomposition) preconditioner of almost optimal in p arithmetical complexity is presented for the hierarchical hp discretizations of 3-d second order elliptic equations. We adapt the wire basket substructuring technique to the hierarchical hp discretization, obtain a fast preconditioner-solver for faces by Kinterpolation technique and show that a secondary iterative process may be efficiently used for prolongations from faces. The fast solver for local Dirichlet problems on subdomains of decomposition is based on our earlier derived finite-difference like preconditioner for the internal stiffness matrices of p-finite elements and fast solution procedures for systems with this preconditioner, which appeared recently. | |
| 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 fast solvers |2 nationallicence | |
| 690 | 7 | |a hp finite element discretizations |2 nationallicence | |
| 690 | 7 | |a domain decomposition |2 nationallicence | |
| 690 | 7 | |a preconditioning |2 nationallicence | |
| 700 | 1 | |a Korneev |D V. |u St.-Petersburg State Technical University, 29 Polytekhnicheskaya Str.,195251 St.-Petersburg, Russia. | |
| 700 | 1 | |a Langer |D U. |u Johannes Kepler University, Altenbrger Str. 69, A-4040, Linz, Austria. | |
| 700 | 1 | |a Xanthis |D L. S. |u Centre for Techno-Maths and Sci. Comput. Lab., University of Westminster, London, HA1 3TP, UK. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/4(2003), 536-559 |x 1609-4840 |q 3:4<536 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0034 |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/10.2478/cmam-2003-0034 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Korneev |D V. |u St.-Petersburg State Technical University, 29 Polytekhnicheskaya Str.,195251 St.-Petersburg, Russia | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Langer |D U. |u Johannes Kepler University, Altenbrger Str. 69, A-4040, Linz, Austria | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Xanthis |D L. S. |u Centre for Techno-Maths and Sci. Comput. Lab., University of Westminster, London, HA1 3TP, UK | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/4(2003), 536-559 |x 1609-4840 |q 3:4<536 |1 2003 |2 3 |o cmam | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||