A Markov Chain Multi-elimination Preconditioner for Elliptic PDE Problems on GPU

碩士 === 國立中央大學 === 數學系 === 101 === This paper discuss to solve numerical solution of Poisson's equation on finite domain and create a new precondition with random walk method and use graphic process unit to accelerate numerical solution of this equation. At iteration method is used by Conjugate...

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Bibliographic Details
Main Authors: Yu-tse Chien, 簡宇則
Other Authors: Feng-nan Hwang
Format: Others
Language:zh-TW
Published: 2013
Online Access:http://ndltd.ncl.edu.tw/handle/tky74e
Description
Summary:碩士 === 國立中央大學 === 數學系 === 101 === This paper discuss to solve numerical solution of Poisson's equation on finite domain and create a new precondition with random walk method and use graphic process unit to accelerate numerical solution of this equation. At iteration method is used by Conjugate Gradient method and compare with ILU0 and Multigrid method on CPU, other discuss this new precondition has convergence rate and give some improvement strategy.