Abstract
In this talk, we shall describe some techniques for developing domain decomposition preconditioners for elliptic boundary value problems in two and three dimensions. We consider the case where more than two subdomains meet at an interior point of the original domain; this allows a subdivision into an arbitrary number of subdomains without the deterioration of the iterative convergence rates for the resulting algorithm. We set up a general framework for the development of preconditioners by domain decomposition. As examples of the application of these techniques, we derive domain decomposition preconditioners for elliptic problems in two and three dimensions.
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© 1988 Springer-Verlag New York Inc.
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Pasciak, J.E. (1988). Domain Decomposition Preconditioners for Elliptic Problems in Two and Three Dimensions. In: Schultz, M. (eds) Numerical Algorithms for Modern Parallel Computer Architectures. The IMA Volumes in Mathematics and Its Applications, vol 13. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6357-6_10
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DOI: https://doi.org/10.1007/978-1-4684-6357-6_10
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