## 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
An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
✍ Scribed by V. Martin
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 313 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0045-7930
No coin nor oath required. For personal study only.
✦ Synopsis
We introduce a Schwarz waveform relaxation algorithm for the convection diffusion equation. Conversely to the classical Schwarz method, this new algorithm converges without overlap of the subdomains.
And it has a fast convergence due to the optimization of the convergence rate. Numerical results illustrate the effectiveness of this method.
📜 SIMILAR VOLUMES
In this paper we consider a passive scalar transported in two-dimensional flow. The governing equation is that of the convection-diffusion-reaction equation. For purposes of computational efficiency, we apply an alternating-direction implicit scheme akin to that proposed by Polezhaev. Use of this im