Library

feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 66 (1993), S. 449-463 
    ISSN: 0945-3245
    Keywords: 65F10 ; 65F35 ; 65N30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Based on the framework of subspace splitting and the additive Schwarz scheme, we give bounds for the condition number of multilevel preconditioners for sparse grid discretizations of elliptic model problems. For a BXP-like preconditioner we derive an estimate of the optimal orderO(1) and for a HB-like variant we obtain an estimate of the orderO(k 2 ·2 k/2 ), wherek denotes the number of levels employed. Furthermore, we confirm these results by numerically computed condition numbers.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Computing 50 (1993), S. 127-148 
    ISSN: 1436-5057
    Keywords: 65F10 ; 65N20 ; 65N30 ; Anisotropic problems ; block-Gauss-Seidel iteration ; Gauss-Seidel iteration ; hierarchical basis ; multigrid methods ; partial differential equations ; point-oriented methods ; semidefinite system ; sparse grids
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zasammenfassung Wir stellen gitterorientierte und neu entwickelte punktorientierte robuste Multilevelverfahren für Voll- und Dünngitterdiskretisierungen vor. Besonders die punktorientierten Multilevelmethoden sind sehr gut zu parallelisieren und erweisen sich als robust für anisotrope Modellprobleme. Sie erlauben eine einfache Erweiterung auf gebietsorientierte Multilevelmethoden mit denselben Eigenschaften. Wir berichten die Ergebnisse numerischer Experimente für die Reduktionszahlen dieser neuen Algorithmen.
    Notes: Abstract We present grid-oriented and newly developed point-oriented robust multilevel methods for full and sparse grid discretizations. Especially the point-oriented multilevel methods are very well suited for parallelization and behave robust for anisotropic model problems. They can be generalized easily to domain-oriented multilevel methods with the same properties.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...