On Fast Domain Decomposition Solving Procedures for hp-Discretizations of 3-D Elliptic Problems
Abstract: 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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On Fast Domain Decomposition Solving Procedures for hp-Discretizations of 3-D Elliptic Problems ; volume:3 ; number:4 ; year:2003 ; pages:536-559
Computational methods in applied mathematics ; 3, Heft 4 (2003), 536-559
- Creator
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Korneev, V.
Langer, U.
Xanthis, L. S.
- DOI
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10.2478/cmam-2003-0034
- URN
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urn:nbn:de:101:1-2410261612312.380859538632
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:35 AM CEST
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Associated
- Korneev, V.
- Langer, U.
- Xanthis, L. S.
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