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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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

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record_format	oai_dc
spelling	ndltd-TW-101NCU054790212019-10-24T05:18:58Z http://ndltd.ncl.edu.tw/handle/tky74e A Markov Chain Multi-elimination Preconditioner for Elliptic PDE Problems on GPU Yu-tse Chien 簡宇則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. Feng-nan Hwang 黃楓南 2013 學位論文 ; thesis 59 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	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.
author2	Feng-nan Hwang
author_facet	Feng-nan Hwang Yu-tse Chien 簡宇則
author	Yu-tse Chien 簡宇則
spellingShingle	Yu-tse Chien 簡宇則 A Markov Chain Multi-elimination Preconditioner for Elliptic PDE Problems on GPU
author_sort	Yu-tse Chien
title	A Markov Chain Multi-elimination Preconditioner for Elliptic PDE Problems on GPU
title_short	A Markov Chain Multi-elimination Preconditioner for Elliptic PDE Problems on GPU
title_full	A Markov Chain Multi-elimination Preconditioner for Elliptic PDE Problems on GPU
title_fullStr	A Markov Chain Multi-elimination Preconditioner for Elliptic PDE Problems on GPU
title_full_unstemmed	A Markov Chain Multi-elimination Preconditioner for Elliptic PDE Problems on GPU
title_sort	markov chain multi-elimination preconditioner for elliptic pde problems on gpu
publishDate	2013
url	http://ndltd.ncl.edu.tw/handle/tky74e
work_keys_str_mv	AT yutsechien amarkovchainmultieliminationpreconditionerforellipticpdeproblemsongpu AT jiǎnyǔzé amarkovchainmultieliminationpreconditionerforellipticpdeproblemsongpu AT yutsechien markovchainmultieliminationpreconditionerforellipticpdeproblemsongpu AT jiǎnyǔzé markovchainmultieliminationpreconditionerforellipticpdeproblemsongpu
_version_	1719276603405500416

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

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