Due to its efficiency and versatility, the preconditioned conjugate gradient algorithm has long been a staple in the realm of iterative linear system solvers. In this paper, we proposed an optimized preconditioned con...
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A new preconditioning strategy for symmetric positive definite banded circulant and Toeplitz systems is described. The optimal tridiagonal preconditioner for tridiagonal circulant systems is modified and applied to bo...
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A new preconditioning strategy for symmetric positive definite banded circulant and Toeplitz systems is described. The optimal tridiagonal preconditioner for tridiagonal circulant systems is modified and applied to both circulant and Toeplitz banded systems. The strategy is extended to block tridiagonal systems. The parallelisation aspects of the pcg algorithm are discussed. C. R. categories: G. 1.3.
This paper is focused on the reanalysis of structures with added degrees of freedom. By suitably partitioning the extended stiffness matrix, we present a preconditioned conjugate gradient algorithm to analyze the modi...
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This paper is focused on the reanalysis of structures with added degrees of freedom. By suitably partitioning the extended stiffness matrix, we present a preconditioned conjugate gradient algorithm to analyze the modified structure. The algorithm preserves the case of implementation and improves significantly the quality of results. In particular, the algorithm can adaptively monitor the accuracy of approximate solutions. It is applicable to general finite element systems. The computational cost is significantly reduced. Numerical examples are given to show the effectiveness of the presented reanalysis algorithm. (C) 2004 Elsevier B.V. All rights reserved.
In this work, in order to improve the operation speed of groundwater flow numerical model, we studied the approach of solving linear equations and the relative acceleration problems based on CUDA platform. We develope...
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ISBN:
(纸本)9783038351153
In this work, in order to improve the operation speed of groundwater flow numerical model, we studied the approach of solving linear equations and the relative acceleration problems based on CUDA platform. We developed the Gpcg module base on GPU platform to replace pcg module of MODFLOW 2005 by using NVIDIA TESLA C2070. We obtained the effective acceleration results on GPU platform, by establishing series of ideal and instance models, which showed that the overall speedup of the models is around 2.5times and the calculation speedup is about 10times.
The paper deals with the Vold-Kalman (VK) multiorder tracking filter. The basic principle of the Vold-Kalman (VK) order tracking filter for only one sinusoidal component of a signal was published many times while an a...
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ISBN:
(纸本)9781467344906;9781467344883
The paper deals with the Vold-Kalman (VK) multiorder tracking filter. The basic principle of the Vold-Kalman (VK) order tracking filter for only one sinusoidal component of a signal was published many times while an algorithm of tracking more than one harmonic component was not published yet. It is assumed that the frequency of the tracked component is known for each sample of the signal. The multiorder tracking filtration allows the decoupling of the crossing or close orders, i.e. two harmonic signals which are differing in frequency except a certain time moment when both signals can have the same frequency. The analytical calculation method can track only one or two orders, while the pcg method provides a tool for simultaneous decoupling of more than the two orders.
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