Three domain decomposition methods for saddle point problems are introduced and compared. The first two are blockdiagonal and block-triangular preconditioners with diagonal blocks approximated by an overlapping Schwarz technique with positive definite local and coarse problems. The third is an overl
Overlapping Schwarz preconditioners for spectral element discretizations of convection-diffusion problems
✍ Scribed by Luca F. Pavarino
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 288 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.327
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## Abstract In this article we study the convergence of the overlapping Schwarz wave form relaxation method for solving the convection–diffusion equation over multi‐overlapped subdomains. It is shown that the method converges linearly and superlinearly over long and short time intervals, and the co
é n ám. 25, 118 00 Praha 1, Czech Republic M ária Luk áč ov á-Medvid'ov á
This article is a continuation of the work [M. Feistauer et al., Num Methods PDEs 13 (1997), 163-190] devoted to the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Non