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- W2043925777 abstract "We consider the nonlinear system of equations that results from the Van Leer flux vector-splitting discretization of the one dimensional Euler equations. This nonlinear system is linearized at the discrete solution. The main topic of this paper is a convergence analysis of block-Gauss-Seidel methods applied to this linear system of equations. Both the lexicographic and the symmetric block-Gauss-Seidel method are considered. We derive results which quantify the quality of these methods as preconditioners. These results show, for example, that for the subsonic case the symmetric Gauss-Seidel method can be expected to be a much better preconditioner than the lexicographic variant. Sharp bounds for the condition number of the preconditioned matrix are derived." @default.
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- W2043925777 date "2003-01-01" @default.
- W2043925777 modified "2023-10-16" @default.
- W2043925777 title "Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations" @default.
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- W2043925777 doi "https://doi.org/10.1137/s0036142902407393" @default.
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