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- W2079968377 abstract "We consider the convergence rate of an iterative numerical scheme as a method for accelerating at the post-processor stage. The methodology adapted here is: (1) residual eigenmodes included in the origin of the convex hull are eliminated; (2) remaining residual terms are smoothed away by the main convergence algorithm. For this purpose, the polynomial matrix approach is employed for deriving the characteristic equation by two different methods. The first method is based on vector scaling and the second is based on the normal equations approach. The input for both methods is the solution difference between two consecutive iteration/cycle levels obtained from the main program. The singular value decomposition was employed for both methods due to the ill-conditioned structure of the matrices. The use of the explicit form of the Richardson extrapolation in the present work overrules the need to employ the Richardson iteration with a Leja ordering. The performance of these methods was compared with the GMRES algorithm for three representative problems: two-dimensional boundary value problem using the Laplace equation, three-dimensional multi-grid, potential solution over a sphere and the one-dimensional steady state Burger equation" @default.
- W2079968377 created "2016-06-24" @default.
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- W2079968377 date "2001-01-01" @default.
- W2079968377 modified "2023-09-25" @default.
- W2079968377 title "A convergence accelerator of a linear system of equations based upon the power method" @default.
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- W2079968377 doi "https://doi.org/10.1002/1097-0363(20010330)35:6<721::aid-fld111>3.0.co;2-7" @default.
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