A noniterative solution approach for parallel pseudospectral domain decomposition |
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Authors: | Hoa D Nguyen Seungho Paik |
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Affiliation: | (1) Idaho National Engineering Laboratory, EG&G Idaho, Inc., MS 2414, P.O. Box 1625, 83415 Idaho Falls, Idaho |
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Abstract: | A simple superposition technique is proposed for the solution of spectral collocation equations in multi-nonoverlapping subdomains. It is based on a property of linear differential equations that allows the interface conditions to be fully decoupled; thus yielding a strategy with a very high level of concurrency suitable for parallel computations. Numerical experiments indicate, for a fixed total number of collocation points, a significant degradation of spectral accuracy as the number of subdomains increases. While the technique generally yields reasonably good solution, a compromise between accuracy and geometric flexibility must be realized. |
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Keywords: | Pseudospectral Chebyshev expansion domain decomposition influence matrix reaction-diffusion equation |
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