Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    5 0 0 0

Comptes Rendus Mathématique
Volume 339, n° 10
pages 739-743 (novembre 2004)
Doi : 10.1016/j.crma.2004.09.016
Received : 3 Mars 2004 ;  accepted : 3 September 2004
Lower bounds for additive Schwarz methods with mortars
Bornes inférieures pour méthode de Schwarz additives et éléments finis avec joints.

Dan Stefanica
Baruch College, City University of New York, One Bernard Baruch Way, Box B 6-230, New York, NY 10010, USA 


We establish lower bounds for the condition number of overlapping additive Schwarz algorithms for elliptic problems discretized by mortar finite elements. These bounds coincide, up to constants, with the classical upper bounds from the literature. The optimality of the condition number estimates is thus established. To cite this article: D. Stefanica, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.

On détermine des bornes inférieures de conditionnement dʼalgorithmes de type Schwarz additif pour des problèmes elliptiques discrétisés par éléments finis avec joints. Ces limites sont identiques à des constantes multiplicatives près, aux bornes supérieures classiques établies par ailleurs. Lʼoptimalité du conditionnement est ainsi démontré. Pour citer cet article : D. Stefanica, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.

© 2004  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline