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UBC Theses and Dissertations

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UBC Theses and Dissertations

On local mode analysis in multi-grid methods Reimers, Mark Allan

Abstract

Local Mode Analysis was introduced by Achi Brandt as a heuristic practical tool for determining the expected convergence rate of a Multi-Grid algorithm. It is shown that this tool may be justified rigorously. Furthermore, computations analogous to actual relaxation processes yield results much like Local Mode Analysis predictions. This analysis is also useful for a heuristic understanding of certain relaxations independently of the Multi-Grid context.

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