Optimized Parameters of Optimized Schwarz Waveform Relaxation Methods for The Heat Equation
Overview & Synopsis
In \cite{Bennequin:09:AHB} and \cite{Gander:2007:OSW}, D. Bennequin, M. Gander and L. Halpern show that the problem of optimizing the convergence rates is in fact a new class of best approximation problems and suggest a new method to solve this class of problems. The authors consider the model problem of optimizing the convergence factors for advection-diffusion equations. In this report, we use their methods to check the results announced in \cite{Gander:2003:SWR} and then extend the results to optimized Robin and Ventcell transmission conditions for 2 dimensional heat equations.
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Document Information
| Document Title | Optimized Parameters of Optimized Schwarz Waveform Relaxation Methods for The Heat Equation |
|---|---|
| Author / Organization | Minh-Binh Tran |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2011 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-224924 |
| Original Source Link | Visit Source Page on hal.science » |