Volume 39, Number 4, July-August 2005
|Page(s)||693 - 714|
|Published online||15 August 2005|
On the Schwarz algorithms for the Elliptic Exterior Boundary Value Problems
MIP (UMR CNRS 5640),
UPS, 118 route de Narbonne,
31062 Toulouse, France.
2 LAMSIN, IPEIN, Campus Universitaire, Route Mrazka, 8000 Nabeul, Tunisia. email@example.com
3 LAMSIN, FSB, Jarzouna, 7021 Bizerte, Tunisia. firstname.lastname@example.org
Revised: 29 March 2005
Tuning the alternating Schwarz method to the exterior problems is the subject of this paper. We present the original algorithm and we propose a modification of it, so that the solution of the subproblem involving the condition at infinity has an explicit integral representation formulas while the solution of the other subproblem, set in a bounded domain, is approximated by classical variational methods. We investigate many of the advantages of the new Schwarz approach: a geometrical convergence rate, an easy implementation, a substantial economy in computational costs and a satisfactory accuracy in the numerical results as well as their agreement with the theoretical statements.
Mathematics Subject Classification: 35J20 / 65N38 / 65N55
Key words: Boundary integral equations / boundary element methods / finite element methods / coupling methods / domain decomposition techniques / Schwarz algorithm.
© EDP Sciences, SMAI, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.