caa a22 4500 37887506X CHVBK 20180305123418.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0034 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0034 On Fast Domain Decomposition Solving Procedures for hp-Discretizations of 3-D Elliptic Problems [Elektronische Daten] 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. 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. fast solvers nationallicence hp finite element discretizations nationallicence domain decomposition nationallicence preconditioning nationallicence Korneev V. St.-Petersburg State Technical University, 29 Polytekhnicheskaya Str.,195251 St.-Petersburg, Russia. Langer U. Johannes Kepler University, Altenbrger Str. 69, A-4040, Linz, Austria. Xanthis L. S. Centre for Techno-Maths and Sci. Comput. Lab., University of Westminster, London, HA1 3TP, UK. Computational Methods in Applied Mathematics De Gruyter 3/4(2003), 536-559 1609-4840 3:4<536 2003 3 cmam https://doi.org/10.2478/cmam-2003-0034 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0034 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Korneev V. St.-Petersburg State Technical University, 29 Polytekhnicheskaya Str.,195251 St.-Petersburg, Russia NATIONALLICENCE 700 1- Langer U. Johannes Kepler University, Altenbrger Str. 69, A-4040, Linz, Austria NATIONALLICENCE 700 1- Xanthis L. S. Centre for Techno-Maths and Sci. Comput. Lab., University of Westminster, London, HA1 3TP, UK NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/4(2003), 536-559 1609-4840 3:4<536 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter