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Abstract: The spectral element method has been used extensively for the simulation of fluid flows. The resulting linear systems are often not amenable to direct methods of solution, and are especially ill-conditioned. Domain decomposition preconditioners, well adapted to the solution on parallel computers, are proposed and analyzed; both two and three space dimensions are considered. Second-order elliptic equations are considered first, and the now well-developed theory of domain decomposition methods... (Update)
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BibTeX entry: (Update)
M. Casarin, "Schwarz preconditioners for spectral and mortar finite element methods with applications to incompressible fluids", Ph.D. Thesis, Courant Institute of Math. Sci., NYU (1996). http://citeseer.ist.psu.edu/casarin96schwarz.html More
@techreport{ casarin96schwarz,
author = "M. A. Jr. Casarin",
title = "Schwarz Preconditioners for Spectral and Mortar Finite Element Methods with Applications to Incompressible Fluids",
number = "TR1996-717",
month = ",",
year = "1996",
url = "citeseer.ist.psu.edu/casarin96schwarz.html" }
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89 Convergence estimates for product iterative methods with app.. (context) - Bramble, Pasciak et al. - 1991
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