In this article we analyzed the convergence of the Schwarz waveform relaxation method for solving the forward-backward heat equation. Numerical results are presented for a specific type of model problem.
Overlapping Schwarz Waveform Relaxation for the Heat Equation in N Dimensions
โ Scribed by Martin J. Gander; Hongkai Zhao
- Book ID
- 110412417
- Publisher
- Springer Netherlands
- Year
- 2002
- Tongue
- English
- Weight
- 415 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0006-3835
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## Abstract In this article we study the convergence of the overlapping Schwarz wave form relaxation method for solving the convectionโdiffusion equation over multiโoverlapped subdomains. It is shown that the method converges linearly and superlinearly over long and short time intervals, and the co
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 il