## 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
Overlapping Schwarz waveform relaxation method for the solution of the forward–backward heat equation
✍ Scribed by Daoud S. Daoud
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 183 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 SIMILAR VOLUMES
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
In this paper we consider the numerical solution of the one-dimensional, unsteady heat conduction equation in which Dirichlet boundary conditions are specified at two space locations and the temperature distribution at a particular time, say \(T_{0}\), is given. The temperature distribution for all
D ϭ 3.1. The drag history, shown in (c), agrees well with the results of [24] which were based upon an adaptive Efficient solution of the Navier-Stokes equations in complex domains is dependent upon the availability of fast solvers for sparse vortex method using up to 10 6 elements. The present calc