Janssen, Jan and Vandewalle, Stefan (1996) Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case. SIAM Journal on Scientific Computing, 17 (1). pp. 133-155. ISSN 1064-8275. doi:10.1137/0917011. https://resolver.caltech.edu/CaltechAUTHORS:JANsiamjsc96
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Abstract
The efficiency of numerically solving time-dependent partial differential equations on parallel computers can be greatly improved by computing the solution on many time levels simultaneously. The theoretical properties of one such method, namely the discrete-time multigrid waveform relaxation method, are investigated for systems of ordinary differential equations obtained by spatial finite-element discretisation of linear parabolic initial-boundary value problems. The results are compared to the corresponding continuous-time results. The theory is illustrated for a one-dimensional and a two-dimensional model problem and checked against results obtained by numerical experiments.
| Item Type: | Article | ||||||
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| Additional Information: | ©1996 Society for Industrial and Applied Mathematics. Reprinted with permission. Received by the editors May 20, 1994; accepted for publication (in revised form) March 1, 1995. This text presents research results of the Belgian Incentive Program "Information Technology"---Computer Science of the Future, initiated by the Belgian State-Prime Minister’s Office for Science, Technology and Culture. The scientific responsibility is assumed by its authors. This work was supported in pan by the NSF under Cooperative Agreement No, CCR-9120008. | ||||||
| Subject Keywords: | parabolic partial differential equations; waveform relaxation; multigrid; linear multistep methods | ||||||
| Issue or Number: | 1 | ||||||
| DOI: | 10.1137/0917011 | ||||||
| Record Number: | CaltechAUTHORS:JANsiamjsc96 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:JANsiamjsc96 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 9406 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 18 Dec 2007 | ||||||
| Last Modified: | 08 Nov 2021 20:59 |
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