Fourier mode analysis of the multigrid waveform relaxation and time-parallel multigrid methods |
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Authors: | Dr. S. Vandewalle Dr. G. Horton |
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Affiliation: | 1. Applied Mathematics 217-50 California Institute of Technology, 91125, Pasadena, CA, USA 2. Lehrstuhl für Rechnerstrukturen (IMMD 3) Universit?t Erlangen-Nürnberg, Martensstrasse 3, D-91058, Erlangen, Germany
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Abstract: | The advent of parallel computers has led to the development of new solution algorithms for time-dependent partial differential equations. Two recently developed methods, multigrid waveform relaxation and time-parallel multigrid, have been designed to solve parabolic partial differential equations on many time-levels simultaneously. This paper compares the convergence properties of these methods, based on the results of an exponential Fourier mode analysis for a model problem. |
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